Search: long-term-pattern

Question Hard General Knowledge World History Colonization and Decolonization Class 10 Level 78

फूट डालो और राज करो नीति को अल्पकालिक नियंत्रण और दीर्घकालिक संकट दोनों से कैसे जोड़ा जा सकता है?

How can divide and rule policy be linked with both short term control and long term crisis?

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Correct Answer

A. इससे तत्काल विरोध कमजोर हो सकता था लेकिन सामाजिक अविश्वास बचता थाIt could weaken immediate resistance but leave social distrust

Step 1

Concept

This policy used division for control. For exams also write its legacy.

Step 2

Why this answer is correct

The correct answer is A. इससे तत्काल विरोध कमजोर हो सकता था लेकिन सामाजिक अविश्वास बचता था / It could weaken immediate resistance but leave social distrust. This policy used division for control. For exams also write its legacy.

Step 3

Exam Tip

यह नीति नियंत्रण के लिए विभाजन का उपयोग करती थी। परीक्षा में इसकी विरासत भी लिखें।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि समान्तर श्रेणी का (5)वां पद (x+7) और (12)वां पद (x+42) है तो (20)वां पद (x) के रूप में क्या होगा?

If the (5)th term of an AP is (x+7) and the (12)th term is (x+42), what is the (20)th term in terms of (x)?

Explanation opens after your attempt

Correct Answer

C. (x+82)

Step 1

Concept

From (7d=35), (d=5). $a_{20}=a_{12}+8d=x+42+40=x+82$.

Step 2

Why this answer is correct

The correct answer is C. (x+82). From (7d=35), (d=5). $a_{20}=a_{12}+8d=x+42+40=x+82$.

Step 3

Exam Tip

(7d=35) से (d=5)। $a_{20}=a_{12}+8d=x+42+40=x+82$।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि AP का (5)वां पद (27) और (14)वां पद (90) है तो (20)वां पद क्या होगा?

If the (5)th term of an AP is (27) and the (14)th term is (90), what is the (20)th term?

Explanation opens after your attempt

Correct Answer

C. (132)

Step 1

Concept

$d=\frac{90-27}{14-5}=7$ and $a_{20}=90+6\times7=132$. First find (d) then move forward.

Step 2

Why this answer is correct

The correct answer is C. (132). $d=\frac{90-27}{14-5}=7$ and $a_{20}=90+6\times7=132$. First find (d) then move forward.

Step 3

Exam Tip

$d=\frac{90-27}{14-5}=7$ और $a_{20}=90+6\times7=132$। पहले (d) निकालें फिर आगे बढ़ें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि समान्तर श्रेणी का (4)वां पद (15) और (12)वां पद (55) है तो (16)वां पद क्या होगा?

If the (4)th term of an AP is (15) and the (12)th term is (55), what is the (16)th term?

Explanation opens after your attempt

Correct Answer

C. (75)

Step 1

Concept

$d=\frac{55-15}{12-4}=5$ and $a_{16}=55+4\times5=75$. First find (d), then the required term.

Step 2

Why this answer is correct

The correct answer is C. (75). $d=\frac{55-15}{12-4}=5$ and $a_{16}=55+4\times5=75$. First find (d), then the required term.

Step 3

Exam Tip

$d=\frac{55-15}{12-4}=5$ और $a_{16}=55+4\times5=75$। पहले (d) फिर वांछित पद निकालें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि AP का (3)वां पद (8) और (8)वां पद (3) है, तो (11)वां पद क्या होगा?

If the (3)rd term of an AP is (8) and the (8)th term is (3), what is the (11)th term?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

$d=\frac{3-8}{8-3}=-1$, so (a_{11}=3+3(-1)=0). Moving from the nearer known term is simple.

Step 2

Why this answer is correct

The correct answer is A. (0). $d=\frac{3-8}{8-3}=-1$, so (a_{11}=3+3(-1)=0). Moving from the nearer known term is simple.

Step 3

Exam Tip

$d=\frac{3-8}{8-3}=-1$, इसलिए (a_{11}=3+3(-1)=0)। ज्ञात पास वाले पद से आगे बढ़ना सरल है।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि किसी AP का (p)वां पद (q) और (q)वां पद (p) है, तो उसका ((p+q))वां पद क्या होगा?

If the (p)th term of an AP is (q) and the (q)th term is (p), what is its ((p+q))th term?

Explanation opens after your attempt

Correct Answer

A. (0)

Step 1

Concept

Subtracting the relations gives (d=-1), and substitution gives $a_{p+q}=0$. Even in symbolic APs, use (a_n=a+(n-1)d).

Step 2

Why this answer is correct

The correct answer is A. (0). Subtracting the relations gives (d=-1), and substitution gives $a_{p+q}=0$. Even in symbolic APs, use (a_n=a+(n-1)d).

Step 3

Exam Tip

संबंधों को घटाने पर (d=-1) और आगे रखने पर $a_{p+q}=0$ मिलता है। प्रतीकात्मक AP में भी (a_n=a+(n-1)d) ही लगाएं।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि किसी समान्तर श्रेणी का (5)वां पद (16) और (9)वां पद (32) है, तो (13)वां पद क्या होगा?

If the (5)th term of an AP is (16) and the (9)th term is (32), what is the (13)th term?

Explanation opens after your attempt

Correct Answer

C. (48)

Step 1

Concept

$d=\frac{32-16}{9-5}=4$, so $a_{13}=32+4\times4=48$. Equal position gaps give equal term gaps in an AP.

Step 2

Why this answer is correct

The correct answer is C. (48). $d=\frac{32-16}{9-5}=4$, so $a_{13}=32+4\times4=48$. Equal position gaps give equal term gaps in an AP.

Step 3

Exam Tip

$d=\frac{32-16}{9-5}=4$, इसलिए $a_{13}=32+4\times4=48$। समान स्थान अंतर होने पर पदों का अंतर भी समान होता है।

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Question Expert General Knowledge World History World Wars Class 10 Level 54

मोलोटोव रिबेंट्रोप संधि को अल्पकालीन लाभ और दीर्घकालीन खतरे दोनों से कैसे समझा जा सकता है?

How can the Molotov-Ribbentrop Pact be understood through both short-term benefit and long-term risk?

Explanation opens after your attempt

Correct Answer

A. जर्मनी को पूर्व से राहत मिली लेकिन सोवियत जर्मन संघर्ष अंततः टला नहींGermany got relief from the east but Soviet-German conflict was not ultimately avoided

Step 1

Concept

The pact was immediate strategy but ideological and strategic conflict remained. For exams separate short-term and long-term results.

Step 2

Why this answer is correct

The correct answer is A. जर्मनी को पूर्व से राहत मिली लेकिन सोवियत जर्मन संघर्ष अंततः टला नहीं / Germany got relief from the east but Soviet-German conflict was not ultimately avoided. The pact was immediate strategy but ideological and strategic conflict remained. For exams separate short-term and long-term results.

Step 3

Exam Tip

संधि तत्काल रणनीतिक थी पर वैचारिक और सामरिक टकराव बना रहा। परीक्षा में अल्पकालीन और दीर्घकालीन परिणाम अलग करें।

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Question Expert Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि समान्तर श्रेणी का (8)वां पद (x+19) और (20)वां पद (x+91) है, तो (35)वां पद (x) के रूप में क्या होगा?

If the (8)th term of an AP is (x+19) and the (20)th term is (x+91), what is the (35)th term in terms of (x)?

Explanation opens after your attempt

Correct Answer

C. (x+181)

Step 1

Concept

(12d=72), so (d=6). $a_{35}=x+91+15\times6=x+181$.

Step 2

Why this answer is correct

The correct answer is C. (x+181). (12d=72), so (d=6). $a_{35}=x+91+15\times6=x+181$.

Step 3

Exam Tip

(12d=72), इसलिए (d=6)। $a_{35}=x+91+15\times6=x+181$।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि समान्तर श्रेणी का (7)वां पद (x+13) और (18)वां पद (x+90) है तो (32)वां पद (x) के रूप में क्या होगा?

If the (7)th term of an AP is (x+13) and the (18)th term is (x+90), what is the (32)nd term in terms of (x)?

Explanation opens after your attempt

Correct Answer

B. (x+188)

Step 1

Concept

From (11d=77), (d=7). $a_{32}=a_{18}+14d=x+90+98=x+188$.

Step 2

Why this answer is correct

The correct answer is B. (x+188). From (11d=77), (d=7). $a_{32}=a_{18}+14d=x+90+98=x+188$.

Step 3

Exam Tip

(11d=77) से (d=7)। $a_{32}=a_{18}+14d=x+90+98=x+188$।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि समान्तर श्रेणी का (6)वां पद (x+11) और (15)वां पद (x+65) है तो (27)वां पद (x) के रूप में क्या होगा?

If the (6)th term of an AP is (x+11) and the (15)th term is (x+65), what is the (27)th term in terms of (x)?

Explanation opens after your attempt

Correct Answer

B. (x+137)

Step 1

Concept

From (9d=54), (d=6). $a_{27}=a_{15}+12d=x+65+72=x+137$.

Step 2

Why this answer is correct

The correct answer is B. (x+137). From (9d=54), (d=6). $a_{27}=a_{15}+12d=x+65+72=x+137$.

Step 3

Exam Tip

(9d=54) से (d=6)। $a_{27}=a_{15}+12d=x+65+72=x+137$।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

किसी समान्तर श्रेणी का (12)वां पद (71) और सार्व अंतर (5) है। पहला पद क्या होगा?

The (12)th term of an AP is (71) and the common difference is (5). What is the first term?

Explanation opens after your attempt

Correct Answer

D. (16)

Step 1

Concept

From $71=a+11\times5$, (a=16). To move from the known term to the first term subtract (11d).

Step 2

Why this answer is correct

The correct answer is D. (16). From $71=a+11\times5$, (a=16). To move from the known term to the first term subtract (11d).

Step 3

Exam Tip

$71=a+11\times5$ से (a=16)। ज्ञात पद से पहले पद तक जाने के लिए (11d) घटाएं।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

किसी समान्तर श्रेणी का (9)वां पद (47) और सार्व अंतर (4) है। पहला पद क्या है?

The (9)th term of an AP is (47) and the common difference is (4). What is the first term?

Explanation opens after your attempt

Correct Answer

D. (15)

Step 1

Concept

From $47=a+8\times4$, (a=15). To move from the known term to the first term, subtract (8d).

Step 2

Why this answer is correct

The correct answer is D. (15). From $47=a+8\times4$, (a=15). To move from the known term to the first term, subtract (8d).

Step 3

Exam Tip

$47=a+8\times4$ से (a=15)। ज्ञात पद से पहले पद तक जाने के लिए (8d) घटाएं।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

एक समान्तर श्रेणी का (6)वां पद (23) और सार्व अंतर (5) है। पहला पद क्या होगा?

The (6)th term of an AP is (23) and the common difference is (5). What is the first term?

Explanation opens after your attempt

Correct Answer

D. (-2)

Step 1

Concept

(23=a+5d=a+25), so (a=-2). When moving backward from a given term, subtract (5d).

Step 2

Why this answer is correct

The correct answer is D. (-2). (23=a+5d=a+25), so (a=-2). When moving backward from a given term, subtract (5d).

Step 3

Exam Tip

(23=a+5d=a+25), इसलिए (a=-2)। दिए गए पद से पीछे जाते समय (5d) घटाया जाता है।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी का सामान्य पद $a_n=7n+2$ है। (11)वाँ पद ज्ञात कीजिए।

The general term of an AP is $a_n=7n+2$. Find the (11)th term.

Explanation opens after your attempt

Correct Answer

C. (79)

Step 1

Concept

$a_{11}=7\times11+2=79$. The main step is substituting the correct term number in the general term.

Step 2

Why this answer is correct

The correct answer is C. (79). $a_{11}=7\times11+2=79$. The main step is substituting the correct term number in the general term.

Step 3

Exam Tip

$a_{11}=7\times11+2=79$। सामान्य पद में सही पद संख्या रखना ही मुख्य कदम है।

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Question Medium General Knowledge World History Colonization and Decolonization Class 10 Level 76

उपनिवेशीकरण और उपनिवेश मुक्ति के दीर्घकालिक प्रभावों को समझने के लिए कौन सा दृष्टिकोण सबसे अच्छा है?

Which approach is best to understand long term effects of colonization and decolonization?

Explanation opens after your attempt

Correct Answer

A. राजनीतिक अर्थव्यवस्था संस्कृति सीमा और राष्ट्र निर्माण को साथ देखनाSeeing politics economy culture borders and nation building together

Step 1

Concept

Long term effects are multi dimensional so many aspects should be studied together. For exams make timeline and map.

Step 2

Why this answer is correct

The correct answer is A. राजनीतिक अर्थव्यवस्था संस्कृति सीमा और राष्ट्र निर्माण को साथ देखना / Seeing politics economy culture borders and nation building together. Long term effects are multi dimensional so many aspects should be studied together. For exams make timeline and map.

Step 3

Exam Tip

दीर्घकालिक प्रभाव बहुक्षेत्रीय होते हैं इसलिए कई पक्षों को साथ पढ़ना चाहिए। परीक्षा में समयरेखा और मानचित्र बनाएं।

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Question Medium General Knowledge World History Colonization and Decolonization Class 10 Level 75

उपनिवेशीकरण और उपनिवेश मुक्ति के दीर्घकालिक प्रभाव समझने का सबसे अच्छा तरीका क्या है?

What is the best way to understand long term effects of colonization and decolonization?

Explanation opens after your attempt

Correct Answer

A. राजनीतिक नियंत्रण आर्थिक शोषण सांस्कृतिक प्रभाव और राष्ट्र निर्माण को साथ देखनाSeeing political control economic exploitation cultural impact and nation building together

Step 1

Concept

To understand long term effects study causes impacts and post independence challenges together. For exams make maps and timelines.

Step 2

Why this answer is correct

The correct answer is A. राजनीतिक नियंत्रण आर्थिक शोषण सांस्कृतिक प्रभाव और राष्ट्र निर्माण को साथ देखना / Seeing political control economic exploitation cultural impact and nation building together. To understand long term effects study causes impacts and post independence challenges together. For exams make maps and timelines.

Step 3

Exam Tip

लंबे प्रभाव समझने के लिए कारण प्रभाव और स्वतंत्रता बाद की चुनौतियां साथ पढ़ें। परीक्षा में मानचित्र और समयरेखा बनाएं।

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Question Hard General Knowledge World History Revolutions of the World Class 10 Level 55

अठारह सौ अड़तालीस की क्रांतियों में तत्काल असफलता और दीर्घकालीन प्रभाव का संबंध क्या था?

What was the relation between immediate failure and long-term impact in the revolutions of 1848?

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Correct Answer

A. तत्काल दमन के बावजूद राष्ट्रवाद और उदारवाद आगे मजबूत हुएDespite immediate repression nationalism and liberalism later grew stronger

Step 1

Concept

1848 gave ideas to future national and constitutional struggles. For exams separate short-term and long-term effects.

Step 2

Why this answer is correct

The correct answer is A. तत्काल दमन के बावजूद राष्ट्रवाद और उदारवाद आगे मजबूत हुए / Despite immediate repression nationalism and liberalism later grew stronger. 1848 gave ideas to future national and constitutional struggles. For exams separate short-term and long-term effects.

Step 3

Exam Tip

अठारह सौ अड़तालीस ने भविष्य के राष्ट्रीय और संवैधानिक संघर्षों को विचार दिया। परीक्षा में अल्पकाल और दीर्घकाल अलग लिखें।

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Question Medium General Knowledge World History Revolutions of the World Class 10 Level 56

मध्यम स्तर पर क्रांति के दीर्घकालीन प्रभाव को कैसे लिखना चाहिए?

How should the long-term impact of a revolution be written at medium level?

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Correct Answer

B. सत्ता समाज अर्थव्यवस्था और विचारों पर प्रभाव बताकरBy explaining effects on power society economy and ideas

Step 1

Concept

Long-term impact appears in many areas. For exams write effects in four categories.

Step 2

Why this answer is correct

The correct answer is B. सत्ता समाज अर्थव्यवस्था और विचारों पर प्रभाव बताकर / By explaining effects on power society economy and ideas. Long-term impact appears in many areas. For exams write effects in four categories.

Step 3

Exam Tip

दीर्घकालीन प्रभाव कई क्षेत्रों में दिखाई देता है। परीक्षा में चार श्रेणियों में प्रभाव लिखें।

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Question Medium Science World of Living Control and Coordination Class 10 Level 18

कौन सा उदाहरण हार्मोन द्वारा लंबे समय तक नियंत्रण को सबसे अच्छा दिखाता है?

Which example best shows long term control by hormones?

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Correct Answer

A. किशोरावस्था में शरीर में बदलावBody changes during adolescence

Step 1

Concept

Hormonal effects are often slow and long lasting.

Step 2

Why this answer is correct

Changes during adolescence are linked with hormones.

Step 3

Exam Tip

Reflex actions are very fast in contrast. चरण 1: हार्मोन का प्रभाव अक्सर धीरे और लंबे समय तक होता है। चरण 2: किशोरावस्था के बदलाव हार्मोन से जुड़े हैं। चरण 3: परावर्ती क्रियाएं इसके विपरीत बहुत तेज होती हैं।

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Question Hard Social Science The Age of Industrialisation The French Revolution and the Idea of the Nation Class 10 Level 11

फ्रांसीसी क्रांति के बाद यूरोप में राष्ट्रवाद फैलने का दीर्घकालिक प्रभाव क्या था?

What was the long-term effect of the spread of nationalism in Europe after the French Revolution?

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Correct Answer

A. राजवंशीय और निरंकुश शासन की वैधता पर लगातार प्रश्न उठेThe legitimacy of dynastic and absolutist rule was repeatedly questioned

Step 1

Concept

French ideas spread in Europe and continued to challenge old power.

Step 2

Why this answer is correct

The legitimacy of dynastic and absolutist rule was questioned.

Step 3

Exam Tip

Connect the long-term effect with European political changes. चरण 1: फ्रांसीसी विचार यूरोप में फैलकर पुरानी सत्ता को चुनौती देते रहे। चरण 2: राजवंशीय और निरंकुश शासन की वैधता पर सवाल उठे। चरण 3: दीर्घकालिक प्रभाव को यूरोपीय राजनीतिक बदलावों से जोड़ें।

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Question Expert Social Science The Age of Industrialisation The Age of Revolutions: 1830-1848 Class 10 Level 3

अठारह सौ अड़तालीस की क्रांतियों में असफलता के बाद भी कौन सा दीर्घकालिक परिणाम महत्वपूर्ण रहा?

Which long-term result remained important despite the failure of the revolutions of 1848?

Explanation opens after your attempt

Correct Answer

A. संविधान अधिकार और राष्ट्रीय एकता के विचार आगे भी प्रभावशाली रहेIdeas of constitution rights and national unity remained influential later

Step 1

Concept

Immediate results failed in many places.

Step 2

Why this answer is correct

But ideas and experiences remained in society.

Step 3

Exam Tip

These ideas later became important in German and Italian unification. चरण 1: तत्काल परिणाम कई जगह असफल रहे। चरण 2: पर विचार और अनुभव समाज में बचे रहे। चरण 3: यही विचार आगे जर्मनी और इटली के एकीकरण में महत्वपूर्ण बने।

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Question Expert Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

एक समांतर श्रेढ़ी का पहला पद (6) है और उसका (14)वाँ पद उसके (4)वें पद का (3) गुना है। पहले (30) पदों का योग क्या होगा?

The first term of an AP is (6), and its (14)th term is (3) times its (4)th term. What is the sum of the first (30) terms?

Explanation opens after your attempt

Correct Answer

B. (1485)

Step 1

Concept

The condition gives (6+13d=3(6+3d)), so (d=3) and $S_{30}=1485$. Convert the term condition into an equation first.

Step 2

Why this answer is correct

The correct answer is B. (1485). The condition gives (6+13d=3(6+3d)), so (d=3) and $S_{30}=1485$. Convert the term condition into an equation first.

Step 3

Exam Tip

शर्त से (6+13d=3(6+3d)), इसलिए (d=3) और $S_{30}=1485$ है। पदों की शर्त को पहले समीकरण में बदलें।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 69

एक समांतर श्रेढ़ी का पहला पद (5) है और उसका (12)वाँ पद उसके (3)वें पद का (4) गुना है। पहले (20) पदों का योग क्या होगा?

The first term of an AP is (5), and its (12)th term is (4) times its (3)rd term. What is the sum of the first (20) terms?

Explanation opens after your attempt

Correct Answer

A. (1050)

Step 1

Concept

The condition gives (5+11d=4(5+2d)), so (d=5) and $S_{20}=1050$. Convert the term condition into an equation first.

Step 2

Why this answer is correct

The correct answer is A. (1050). The condition gives (5+11d=4(5+2d)), so (d=5) and $S_{20}=1050$. Convert the term condition into an equation first.

Step 3

Exam Tip

शर्त से (5+11d=4(5+2d)), इसलिए (d=5) और $S_{20}=1050$ है। पदों की शर्त को पहले समीकरण में बदलें।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 68

एक समांतर श्रेढ़ी का पहला पद (6) है और उसका (9)वाँ पद उसके (4)वें पद का (2) गुना है। पहले (25) पदों का योग क्या होगा?

The first term of an AP is (6), and its (9)th term is (2) times its (4)th term. What is the sum of the first (25) terms?

Explanation opens after your attempt

Correct Answer

C. (1050)

Step 1

Concept

The condition gives (6+8d=2(6+3d)), so (d=3) and $S_{25}=1050$. Convert the term condition into an equation first.

Step 2

Why this answer is correct

The correct answer is C. (1050). The condition gives (6+8d=2(6+3d)), so (d=3) and $S_{25}=1050$. Convert the term condition into an equation first.

Step 3

Exam Tip

शर्त से (6+8d=2(6+3d)), इसलिए (d=3) और $S_{25}=1050$ है। पदों की शर्त को पहले समीकरण में बदलें।

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Question Hard Mathematics Arithmetic Progressions (AP) Finding the sum of the first $n$ terms of an AP Class 10 Level 67

एक समांतर श्रेढ़ी का पहला पद (4) है और उसका (8)वाँ पद उसके (3)वें पद का (3) गुना है। पहले (12) पदों का योग क्या होगा?

The first term of an AP is (4), and its (8)th term is (3) times its (3)rd term. What is the sum of the first (12) terms?

Explanation opens after your attempt

Correct Answer

C. (576)

Step 1

Concept

The condition gives (4+7d=3(4+2d)), so (d=8) and $S_{12}=576$. Convert the term condition into an equation first.

Step 2

Why this answer is correct

The correct answer is C. (576). The condition gives (4+7d=3(4+2d)), so (d=8) and $S_{12}=576$. Convert the term condition into an equation first.

Step 3

Exam Tip

शर्त से (4+7d=3(4+2d)), इसलिए (d=8) और $S_{12}=576$। पदों की शर्त को पहले समीकरण में बदलें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

समान्तर श्रेणी $23,31,39,\ldots$ के (n)वें पद का सूत्र $a_n=8n+15$ है। (36)वां पद क्या होगा?

The (n)th-term formula of the AP $23,31,39,\ldots$ is $a_n=8n+15$. What is the (36)th term?

Explanation opens after your attempt

Correct Answer

C. (303)

Step 1

Concept

$a_{36}=8\times36+15=303$. Put (n=36) in the formed formula to get the answer directly.

Step 2

Why this answer is correct

The correct answer is C. (303). $a_{36}=8\times36+15=303$. Put (n=36) in the formed formula to get the answer directly.

Step 3

Exam Tip

$a_{36}=8\times36+15=303$। बने हुए सूत्र में (n=36) रखकर सीधे उत्तर पाएं।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि किसी AP का (r)वां पद (3r-2) और (d=4) है तो ((r+6))वां पद क्या होगा?

If the (r)th term of an AP is (3r-2) and (d=4), what is the ((r+6))th term?

Explanation opens after your attempt

Correct Answer

C. (3r+22)

Step 1

Concept

The ((r+6))th term is (6d) ahead of the (r)th term so (3r-2+24=3r+22). In symbolic questions look at the position gap.

Step 2

Why this answer is correct

The correct answer is C. (3r+22). The ((r+6))th term is (6d) ahead of the (r)th term so (3r-2+24=3r+22). In symbolic questions look at the position gap.

Step 3

Exam Tip

((r+6))वां पद (r)वें पद से (6d) आगे है इसलिए (3r-2+24=3r+22)। प्रतीकात्मक प्रश्न में स्थान अंतर देखें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

समान्तर श्रेणी $19,26,33,\ldots$ के (n)वें पद का सूत्र $a_n=7n+12$ है। (41)वां पद क्या होगा?

The (n)th-term formula of the AP $19,26,33,\ldots$ is $a_n=7n+12$. What is the (41)st term?

Explanation opens after your attempt

Correct Answer

D. (299)

Step 1

Concept

$a_{41}=7\times41+12=299$. Put only (n=41) in the formed formula.

Step 2

Why this answer is correct

The correct answer is D. (299). $a_{41}=7\times41+12=299$. Put only (n=41) in the formed formula.

Step 3

Exam Tip

$a_{41}=7\times41+12=299$। बने हुए सूत्र में केवल (n=41) रखें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि किसी समान्तर श्रेणी का (m)वां पद (2m+3) और (d=2) है तो ((m+5))वां पद क्या होगा?

If the (m)th term of an AP is (2m+3) and (d=2), what is the ((m+5))th term?

Explanation opens after your attempt

Correct Answer

D. (2m+13)

Step 1

Concept

The ((m+5))th term is (5d) ahead of the (m)th term, so (2m+3+10=2m+13). In symbolic terms, look at the position gap.

Step 2

Why this answer is correct

The correct answer is D. (2m+13). The ((m+5))th term is (5d) ahead of the (m)th term, so (2m+3+10=2m+13). In symbolic terms, look at the position gap.

Step 3

Exam Tip

((m+5))वां पद (m)वें पद से (5d) आगे है इसलिए (2m+3+10=2m+13)। प्रतीकात्मक पदों में भी स्थान अंतर देखें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

समान्तर श्रेणी का पहला पद (25) है और (18)वां पद (93) है। सार्व अंतर क्या है?

The first term of an AP is (25) and the (18)th term is (93). What is the common difference?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

From (93=25+17d), (68=17d) so (d=4). For the (18)th term, the multiplier is (17).

Step 2

Why this answer is correct

The correct answer is C. (4). From (93=25+17d), (68=17d) so (d=4). For the (18)th term, the multiplier is (17).

Step 3

Exam Tip

(93=25+17d) से (68=17d) इसलिए (d=4)। (18)वें पद के लिए गुणक (17) होता है।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समान्तर श्रेणी $11,17,23,\ldots$ का (n)वां पद $a_n=6n+5$ है। इसका (32)वां पद क्या होगा?

The (n)th term of the AP $11,17,23,\ldots$ is $a_n=6n+5$. What is its (32)nd term?

Explanation opens after your attempt

Correct Answer

B. (197)

Step 1

Concept

$a_{32}=6\times32+5=197$. Substitute the correct value of (n) in the formed formula.

Step 2

Why this answer is correct

The correct answer is B. (197). $a_{32}=6\times32+5=197$. Substitute the correct value of (n) in the formed formula.

Step 3

Exam Tip

$a_{32}=6\times32+5=197$। बनाए गए सूत्र में (n) का सही मान रखें।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

एक समान्तर श्रेणी का पहला पद (18) और (16)वां पद (93) है। सार्व अंतर क्या है?

The first term of an AP is (18) and the (16)th term is (93). What is the common difference?

Explanation opens after your attempt

Correct Answer

A. (5)

Step 1

Concept

(93=18+15d), so (75=15d) and (d=5). For the (16)th term, the multiplier is (15).

Step 2

Why this answer is correct

The correct answer is A. (5). (93=18+15d), so (75=15d) and (d=5). For the (16)th term, the multiplier is (15).

Step 3

Exam Tip

(93=18+15d), इसलिए (75=15d) और (d=5)। (16)वें पद के लिए गुणक (15) होगा।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि किसी समान्तर श्रेणी का (10)वां पद (41) और (20)वां पद (81) है, तो उसका सार्व अंतर क्या है?

If the (10)th term of an AP is (41) and the (20)th term is (81), what is its common difference?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

$The difference of terms is (81-41=40) and the difference of positions is (10), so (d=4). Use (d=\frac{$difference of terms}{difference of positions}).

Step 2

Why this answer is correct

$The correct answer is C. (4). The difference of terms is (81-41=40) and the difference of positions is (10), so (d=4). Use (d=\frac{$difference of terms}{difference of positions}).

Step 3

Exam Tip

दो पदों का अंतर (81-41=40) है और पद संख्या का अंतर (10), इसलिए (d=4)। $दो ज्ञात पदों में (d=\frac{$पदों का अंतर}{स्थान का अंतर}) लगाएं।

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Question Medium Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि किसी समान्तर श्रेणी का पहला पद (7) और सार्व अंतर (4) है, तो उसका (18)वां पद क्या होगा?

If the first term of an AP is (7) and the common difference is (4), what is its (18)th term?

Explanation opens after your attempt

Correct Answer

A. (75)

Step 1

Concept

Using (a_n=a+(n-1)d), $7+17\times4=75$. Exam tip: do not forget (n-1).

Step 2

Why this answer is correct

The correct answer is A. (75). Using (a_n=a+(n-1)d), $7+17\times4=75$. Exam tip: do not forget (n-1).

Step 3

Exam Tip

सूत्र (a_n=a+(n-1)d) लगाने पर $7+17\times4=75$। परीक्षा में (n-1) को भूलना नहीं चाहिए।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि एपी का (4)था पद (21) और (d=6) है तो (10)वाँ पद क्या होगा?

If the (4)th term of an AP is (21) and (d=6), what is the (10)th term?

Explanation opens after your attempt

Correct Answer

C. (57)

Step 1

Concept

The (10)th term is (6d) after the (4)th term, so (21+36=57). Use the difference in term numbers directly.

Step 2

Why this answer is correct

The correct answer is C. (57). The (10)th term is (6d) after the (4)th term, so (21+36=57). Use the difference in term numbers directly.

Step 3

Exam Tip

(10)वाँ पद (4)थे पद से (6d) आगे है इसलिए (21+36=57)। पद संख्या का अंतर सीधे उपयोग करें।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि एपी का प्रथम पद (-12) और सार्व अंतर (5) है तो (16)वाँ पद क्या होगा?

If the first term of an AP is (-12) and the common difference is (5), what is the (16)th term?

Explanation opens after your attempt

Correct Answer

B. (63)

Step 1

Concept

$a_{16}=-12+15\times5=63$. First calculate (15d), then add the first term.

Step 2

Why this answer is correct

The correct answer is B. (63). $a_{16}=-12+15\times5=63$. First calculate (15d), then add the first term.

Step 3

Exam Tip

$a_{16}=-12+15\times5=63$। पहले (15d) निकालें फिर प्रथम पद जोड़ें।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 66

यदि किसी एपी का प्रथम पद (9) और सार्व अंतर (10) है तो (7)वाँ पद क्या होगा?

If the first term of an AP is (9) and the common difference is (10), what is the (7)th term?

Explanation opens after your attempt

Correct Answer

B. (69)

Step 1

Concept

$a_7=9+6\times10=69$. For the (7)th term, (6d) is added.

Step 2

Why this answer is correct

The correct answer is B. (69). $a_7=9+6\times10=69$. For the (7)th term, (6d) is added.

Step 3

Exam Tip

$a_7=9+6\times10=69$। (7)वें पद के लिए (6d) जोड़ना होता है।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि किसी एपी का (3)रा पद (14) और (d=5) है तो (7)वाँ पद क्या होगा?

If the (3)rd term of an AP is (14) and (d=5), what is the (7)th term?

Explanation opens after your attempt

Correct Answer

C. (34)

Step 1

Concept

The (7)th term is (4d) after the (3)rd term, so (14+20=34). Count the gap between terms correctly.

Step 2

Why this answer is correct

The correct answer is C. (34). The (7)th term is (4d) after the (3)rd term, so (14+20=34). Count the gap between terms correctly.

Step 3

Exam Tip

(7)वाँ पद (3)रे पद से (4d) आगे है इसलिए (14+20=34)। बीच के पदों की संख्या सही गिनें।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि एपी का प्रथम पद (-2) और सार्व अंतर (6) है तो (12)वाँ पद क्या होगा?

If the first term of an AP is (-2) and the common difference is (6), what is the (12)th term?

Explanation opens after your attempt

Correct Answer

B. (64)

Step 1

Concept

$a_{12}=-2+11\times6=64$. Multiply first and then add (-2).

Step 2

Why this answer is correct

The correct answer is B. (64). $a_{12}=-2+11\times6=64$. Multiply first and then add (-2).

Step 3

Exam Tip

$a_{12}=-2+11\times6=64$। पहले गुणा करें फिर (-2) जोड़ें।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि किसी एपी का (5)वाँ पद (22) और (d=6) है तो (8)वाँ पद क्या है?

If the (5)th term of an AP is (22) and (d=6), what is the (8)th term?

Explanation opens after your attempt

Correct Answer

D. (40)

Step 1

Concept

The (8)th term is (3d) after the (5)th term, so (22+18=40). Counting the gap between terms is an easy method.

Step 2

Why this answer is correct

The correct answer is D. (40). The (8)th term is (3d) after the (5)th term, so (22+18=40). Counting the gap between terms is an easy method.

Step 3

Exam Tip

(8)वाँ पद (5)वें पद से (3d) आगे है इसलिए (22+18=40)। पदों का अंतर गिनना आसान तरीका है।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि एपी का (7)वाँ पद (31) है और (d=4) है तो (10)वाँ पद क्या होगा?

If the (7)th term of an AP is (31) and (d=4), what is the (10)th term?

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

The (10)th term is (3d) after the (7)th term, so $31+3\times4=43$. The difference method is quick for nearby terms.

Step 2

Why this answer is correct

The correct answer is C. (43). The (10)th term is (3d) after the (7)th term, so $31+3\times4=43$. The difference method is quick for nearby terms.

Step 3

Exam Tip

(10)वाँ पद (7)वें पद से (3d) आगे है इसलिए $31+3\times4=43$। पास के पदों के लिए अंतर विधि तेज होती है।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि एपी का प्रथम पद (15) और सार्व अंतर (-4) है तो (8)वाँ पद क्या होगा?

If the first term of an AP is (15) and the common difference is (-4), what is the (8)th term?

Explanation opens after your attempt

Correct Answer

A. (-13)

Step 1

Concept

(a_8=15+7(-4)=-13). Writing negative (d) in brackets is useful.

Step 2

Why this answer is correct

The correct answer is A. (-13). (a_8=15+7(-4)=-13). Writing negative (d) in brackets is useful.

Step 3

Exam Tip

(a_8=15+7(-4)=-13)। ऋणात्मक (d) को कोष्ठक में लिखना उपयोगी है।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि किसी एपी का प्रथम पद (5) और सार्व अंतर (3) है तो (8)वाँ पद क्या होगा?

If the first term of an AP is (5) and common difference is (3), what is the (8)th term?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

Using (a_n=a+(n-1)d), $5+7\times3=26$. In exams, do not forget (n-1).

Step 2

Why this answer is correct

The correct answer is C. (26). Using (a_n=a+(n-1)d), $5+7\times3=26$. In exams, do not forget (n-1).

Step 3

Exam Tip

सूत्र (a_n=a+(n-1)d) लगाएं तो $5+7\times3=26$। परीक्षा में (n-1) लेना न भूलें।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

किसी समांतर श्रेढ़ी का (n)वाँ पद $a_n=2n+3$ है। (18)वाँ पद क्या होगा?

The (n)th term of an AP is $a_n=2n+3$. What will be the (18)th term?

Explanation opens after your attempt

Correct Answer

A. (39)

Step 1

Concept

Putting (n=18), $a_{18}=2\times18+3=39$. Substitute the term number directly in the given $a_n$.

Step 2

Why this answer is correct

The correct answer is A. (39). Putting (n=18), $a_{18}=2\times18+3=39$. Substitute the term number directly in the given $a_n$.

Step 3

Exam Tip

(n=18) रखने पर $a_{18}=2\times18+3=39$। दिए गए $a_n$ में सीधे पद संख्या रखें।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

एक समांतर श्रेढ़ी का प्रथम पद (25) और सार्व अंतर (4) है। (21)वाँ पद क्या होगा?

The first term of an AP is (25) and the common difference is (4). What will be the (21)st term?

Explanation opens after your attempt

Correct Answer

B. (105)

Step 1

Concept

$a_{21}=25+20\times4=105$. Do not forget to subtract (1) from the term number.

Step 2

Why this answer is correct

The correct answer is B. (105). $a_{21}=25+20\times4=105$. Do not forget to subtract (1) from the term number.

Step 3

Exam Tip

$a_{21}=25+20\times4=105$। पद संख्या से (1) घटाना न भूलें।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

यदि समांतर श्रेढ़ी का प्रथम पद (6) और सार्व अंतर (7) है, तो (11)वाँ पद क्या है?

If the first term of an AP is (6) and the common difference is (7), what is the (11)th term?

Explanation opens after your attempt

Correct Answer

D. (76)

Step 1

Concept

$a_{11}=6+10\times7=76$. Up to the (11)th term, the difference is added (10) times.

Step 2

Why this answer is correct

The correct answer is D. (76). $a_{11}=6+10\times7=76$. Up to the (11)th term, the difference is added (10) times.

Step 3

Exam Tip

$a_{11}=6+10\times7=76$। (11)वें पद तक (10) बार अंतर जुड़ता है।

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Question Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 64

समांतर श्रेढ़ी में प्रथम पद (a=4) और सार्व अंतर (d=3) है। इसका (10)वाँ पद क्या होगा?

In an AP, first term (a=4) and common difference (d=3). What is the (10)th term?

Explanation opens after your attempt

Correct Answer

A. (31)

Step 1

Concept

Using (a_n=a+(n-1)d), $a_{10}=4+9\times3=31$. Exam tip: write (n-1) carefully.

Step 2

Why this answer is correct

The correct answer is A. (31). Using (a_n=a+(n-1)d), $a_{10}=4+9\times3=31$. Exam tip: write (n-1) carefully.

Step 3

Exam Tip

सूत्र (a_n=a+(n-1)d) लगाने पर $a_{10}=4+9\times3=31$। परीक्षा में (n-1) को ध्यान से लिखें।

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Question Expert Art Education Fundamentals of Visual Arts Line Class 10 Level 8

रेखा में लय और पैटर्न का अंतर क्या है?

What is the difference between rhythm and pattern in line?

Explanation opens after your attempt

Correct Answer

B. लय गति का अनुभव देती है, पैटर्न दोहराव की व्यवस्था हैRhythm gives feeling of movement, pattern is arrangement of repetition

Step 1

Concept

Rhythm and pattern are related but not identical. Exam tip: write the difference between movement and repetition.

Step 2

Why this answer is correct

The correct answer is B. लय गति का अनुभव देती है, पैटर्न दोहराव की व्यवस्था है / Rhythm gives feeling of movement, pattern is arrangement of repetition. Rhythm and pattern are related but not identical. Exam tip: write the difference between movement and repetition.

Step 3

Exam Tip

लय और पैटर्न जुड़े हैं पर समान नहीं हैं। परीक्षा में गति और पुनरावृत्ति का अंतर लिखें।

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Question Expert Art Education Fundamentals of Visual Arts Line Class 10 Level 8

रेखीय पैटर्न में गहराई का भ्रम केवल आकार से नहीं बल्कि किससे बन सकता है?

In a linear pattern, illusion of depth can be created not only by size but also by what?

Explanation opens after your attempt

Correct Answer

A. रेखा घनता, ओवरलैप और दिशा सेLine density, overlap, and direction

Step 1

Concept

Line arrangement can give spatial cues. Exam tip: understand depth through multiple visual cues.

Step 2

Why this answer is correct

The correct answer is A. रेखा घनता, ओवरलैप और दिशा से / Line density, overlap, and direction. Line arrangement can give spatial cues. Exam tip: understand depth through multiple visual cues.

Step 3

Exam Tip

रेखा व्यवस्था स्थानिक संकेत दे सकती है। परीक्षा में गहराई को कई दृश्य संकेतों से समझें।

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Question Easy Art Education Fundamentals of Visual Arts Line Class 10 Level 11

रेखा से पैटर्न कैसे बन सकता है?

How can pattern be made with line?

Explanation opens after your attempt

Correct Answer

A. रेखा को दोहराकरBy repeating line

Step 1

Concept

Repeated lines make pattern. Exam tip: remember repetition for pattern.

Step 2

Why this answer is correct

The correct answer is A. रेखा को दोहराकर / By repeating line. Repeated lines make pattern. Exam tip: remember repetition for pattern.

Step 3

Exam Tip

दोहराई गई रेखाएं पैटर्न बनाती हैं। परीक्षा में pattern के लिए repetition याद रखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 5

सजावटी पैटर्न कब अर्थपूर्ण दृश्य भाषा बन जाता है?

When does a decorative pattern become meaningful visual language?

Explanation opens after your attempt

Correct Answer

C. जब वह विषय के विचार को दोहराता या मजबूत करता हैWhen it repeats or strengthens the idea of subject

Step 1

Concept

Pattern creates meaning when linked with message. Exam tip: observe relation of decoration and meaning.

Step 2

Why this answer is correct

The correct answer is C. जब वह विषय के विचार को दोहराता या मजबूत करता है / When it repeats or strengthens the idea of subject. Pattern creates meaning when linked with message. Exam tip: observe relation of decoration and meaning.

Step 3

Exam Tip

पैटर्न संदेश से जुड़कर अर्थ बनाता है। परीक्षा में decoration और meaning का संबंध देखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 5

यदि पैटर्न में बदलाव है लेकिन वह संदेश से असंबंधित है तो क्या होगा?

If there is variation in pattern but it is unrelated to message what happens?

Explanation opens after your attempt

Correct Answer

B. ध्यान भटक सकता हैAttention may distract

Step 1

Concept

Variation in pattern should be purposeful. Exam tip: write reason for variation.

Step 2

Why this answer is correct

The correct answer is B. ध्यान भटक सकता है / Attention may distract. Variation in pattern should be purposeful. Exam tip: write reason for variation.

Step 3

Exam Tip

पैटर्न में बदलाव उद्देश्यपूर्ण होना चाहिए। परीक्षा में variation का कारण लिखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 4

यदि पैटर्न संदेश से असंबंधित है तो सजावट का क्या प्रभाव हो सकता है?

If a pattern is unrelated to the message what effect can decoration have?

Explanation opens after your attempt

Correct Answer

D. वह संदेश से ध्यान भटका सकती हैIt can distract from message

Step 1

Concept

Pattern should support message beyond decoration. Exam tip: write pattern purpose.

Step 2

Why this answer is correct

The correct answer is D. वह संदेश से ध्यान भटका सकती है / It can distract from message. Pattern should support message beyond decoration. Exam tip: write pattern purpose.

Step 3

Exam Tip

पैटर्न को सजावट से आगे संदेश का समर्थन करना चाहिए। परीक्षा में pattern purpose लिखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

किस स्थिति में सजावटी पैटर्न भी अर्थपूर्ण दृश्य भाषा बन जाता है?

In which situation does decorative pattern become meaningful visual language?

Explanation opens after your attempt

Correct Answer

A. जब वह विषय के विचार को दोहराए या मजबूत करेWhen it repeats or strengthens the idea of subject

Step 1

Concept

Pattern creates meaning when connected to message. Exam tip: observe relation between decoration and meaning.

Step 2

Why this answer is correct

The correct answer is A. जब वह विषय के विचार को दोहराए या मजबूत करे / When it repeats or strengthens the idea of subject. Pattern creates meaning when connected to message. Exam tip: observe relation between decoration and meaning.

Step 3

Exam Tip

पैटर्न संदेश से जुड़कर अर्थ बनाता है। परीक्षा में decoration और meaning का संबंध देखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

यदि पैटर्न में एक बदलाव है पर वह संदेश से असंबंधित है तो क्या होगा?

If there is a variation in pattern but it is unrelated to message what will happen?

Explanation opens after your attempt

Correct Answer

A. ध्यान भटक सकता हैAttention may distract

Step 1

Concept

Variation should be purposeful. Exam tip: write reason for pattern variation.

Step 2

Why this answer is correct

The correct answer is A. ध्यान भटक सकता है / Attention may distract. Variation should be purposeful. Exam tip: write reason for pattern variation.

Step 3

Exam Tip

बदलाव उद्देश्यपूर्ण होना चाहिए। परीक्षा में pattern variation का कारण लिखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 2

यदि पैटर्न उद्देश्य से जुड़ा नहीं है तो क्या आलोचना सही होगी?

If pattern is not connected to purpose what criticism is correct?

Explanation opens after your attempt

Correct Answer

A. सजावट संदेश से ध्यान हटा सकती हैDecoration may distract from message

Step 1

Concept

Pattern should support the message. Exam tip: write purpose of decorative elements.

Step 2

Why this answer is correct

The correct answer is A. सजावट संदेश से ध्यान हटा सकती है / Decoration may distract from message. Pattern should support the message. Exam tip: write purpose of decorative elements.

Step 3

Exam Tip

पैटर्न को संदेश का समर्थन करना चाहिए। परीक्षा में decorative elements का उद्देश्य लिखें।

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Question Expert Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 1

यदि पैटर्न बहुत नियमित है और कोई बदलाव नहीं है तो कौन सा अनुभव बनेगा?

If a pattern is very regular and has no variation what experience will form?

Explanation opens after your attempt

Correct Answer

A. एकरस और अनुमानितMonotonous and predictable

Step 1

Concept

Too much regularity can feel boring. Exam tip: keep controlled variety in pattern.

Step 2

Why this answer is correct

The correct answer is A. एकरस और अनुमानित / Monotonous and predictable. Too much regularity can feel boring. Exam tip: keep controlled variety in pattern.

Step 3

Exam Tip

अत्यधिक नियमितता उबाऊ लग सकती है। परीक्षा में पैटर्न में नियंत्रित विविधता रखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 9

यदि लय और पैटर्न दोनों हैं पर कोई केंद्र नहीं है तो क्या सुधार होगा?

If rhythm and pattern exist but there is no focus what correction is needed?

Explanation opens after your attempt

Correct Answer

A. दोहराव में नियंत्रित बदलाव से केंद्र बनानाCreate focus through controlled change in repetition

Step 1

Concept

Change in repetition can create emphasis. Exam tip: connect pattern break with emphasis.

Step 2

Why this answer is correct

The correct answer is A. दोहराव में नियंत्रित बदलाव से केंद्र बनाना / Create focus through controlled change in repetition. Change in repetition can create emphasis. Exam tip: connect pattern break with emphasis.

Step 3

Exam Tip

दोहराव में बदलाव जोर बना सकता है। परीक्षा में pattern break को emphasis से जोड़ें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 9

यदि पैटर्न उद्देश्य से जुड़ा है तो वह सजावट से आगे क्या बन जाता है?

If pattern is connected to purpose what does it become beyond decoration?

Explanation opens after your attempt

Correct Answer

A. संदेश को मजबूत करने वाला दृश्य साधनVisual tool strengthening the message

Step 1

Concept

Purposeful pattern creates meaning. Exam tip: connect pattern with message support.

Step 2

Why this answer is correct

The correct answer is A. संदेश को मजबूत करने वाला दृश्य साधन / Visual tool strengthening the message. Purposeful pattern creates meaning. Exam tip: connect pattern with message support.

Step 3

Exam Tip

उद्देश्यपूर्ण पैटर्न अर्थ बनाता है। परीक्षा में pattern को message support से जोड़ें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 8

यदि पैटर्न बहुत मजबूत है और केंद्र बिंदु कमजोर है तो क्या सुधार होगा?

If pattern is too strong and focal point is weak what correction is needed?

Explanation opens after your attempt

Correct Answer

A. पैटर्न कम कर केंद्र पर विरोध बढ़ानाReduce pattern and increase contrast at focus

Step 1

Concept

Pattern should support focal point. Exam tip: observe pattern hierarchy.

Step 2

Why this answer is correct

The correct answer is A. पैटर्न कम कर केंद्र पर विरोध बढ़ाना / Reduce pattern and increase contrast at focus. Pattern should support focal point. Exam tip: observe pattern hierarchy.

Step 3

Exam Tip

पैटर्न को केंद्र बिंदु का समर्थन करना चाहिए। परीक्षा में pattern hierarchy देखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 7

अत्यधिक नियमित पैटर्न को रोचक बनाने का सबसे सही तरीका क्या है?

What is the most correct way to make an overly regular pattern interesting?

Explanation opens after your attempt

Correct Answer

A. नियंत्रित विविधता या रंग बदलाव जोड़नाAdd controlled variety or colour change

Step 1

Concept

Controlled change reduces monotony. Exam tip: remember pattern variation.

Step 2

Why this answer is correct

The correct answer is A. नियंत्रित विविधता या रंग बदलाव जोड़ना / Add controlled variety or colour change. Controlled change reduces monotony. Exam tip: remember pattern variation.

Step 3

Exam Tip

नियंत्रित बदलाव एकरसता घटाता है। परीक्षा में pattern variation याद रखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 7

यदि पैटर्न मुख्य संदेश से मेल खाता है तो उसका सबसे बड़ा लाभ क्या है?

If pattern matches the main message what is its biggest benefit?

Explanation opens after your attempt

Correct Answer

A. सजावट संदेश को मजबूत कर देती हैDecoration strengthens the message

Step 1

Concept

Meaningful pattern goes beyond decoration and supports message. Exam tip: write pattern purpose.

Step 2

Why this answer is correct

The correct answer is A. सजावट संदेश को मजबूत कर देती है / Decoration strengthens the message. Meaningful pattern goes beyond decoration and supports message. Exam tip: write pattern purpose.

Step 3

Exam Tip

अर्थपूर्ण पैटर्न सजावट से आगे बढ़कर संदेश देता है। परीक्षा में pattern purpose लिखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 7

यदि मुख्य केंद्र मजबूत है पर पृष्ठभूमि का पैटर्न उससे प्रतिस्पर्धा कर रहा है तो क्या सुधार चाहिए?

If the main focus is strong but background pattern competes with it what correction is needed?

Explanation opens after your attempt

Correct Answer

A. पृष्ठभूमि पैटर्न की तीव्रता घटानाReduce intensity of background pattern

Step 1

Concept

A supporting background highlights focus. Exam tip: identify background competition.

Step 2

Why this answer is correct

The correct answer is A. पृष्ठभूमि पैटर्न की तीव्रता घटाना / Reduce intensity of background pattern. A supporting background highlights focus. Exam tip: identify background competition.

Step 3

Exam Tip

सहायक पृष्ठभूमि केंद्र को उभारती है। परीक्षा में background competition पहचानें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 6

किस स्थिति में पैटर्न संदेश को कमजोर कर सकता है?

In which situation can pattern weaken the message?

Explanation opens after your attempt

Correct Answer

A. जब वह विषय से असंबंधित होकर मुख्य संदेश से ध्यान हटाएWhen it is unrelated to subject and distracts from main message

Step 1

Concept

Pattern serves purpose along with decoration. Exam tip: check pattern purpose.

Step 2

Why this answer is correct

The correct answer is A. जब वह विषय से असंबंधित होकर मुख्य संदेश से ध्यान हटाए / When it is unrelated to subject and distracts from main message. Pattern serves purpose along with decoration. Exam tip: check pattern purpose.

Step 3

Exam Tip

पैटर्न सजावट के साथ उद्देश्य भी निभाता है। परीक्षा में pattern purpose जांचें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 5

यदि पैटर्न सजावटी है पर मुख्य संदेश से असंबंधित है तो क्या समस्या होगी?

If pattern is decorative but unrelated to main message what problem occurs?

Explanation opens after your attempt

Correct Answer

A. सजावट संदेश से ध्यान हटा सकती हैDecoration can distract from message

Step 1

Concept

Pattern should support subject and message. Exam tip: observe purpose of decorative element.

Step 2

Why this answer is correct

The correct answer is A. सजावट संदेश से ध्यान हटा सकती है / Decoration can distract from message. Pattern should support subject and message. Exam tip: observe purpose of decorative element.

Step 3

Exam Tip

पैटर्न को विषय और संदेश का समर्थन करना चाहिए। परीक्षा में decorative element का purpose देखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 4

पैटर्न और लय में उच्च स्तरीय अंतर किस वाक्य में सही है?

Which sentence gives the advanced difference between pattern and rhythm correctly?

Explanation opens after your attempt

Correct Answer

A. पैटर्न दोहराव की व्यवस्था है और लय आंख की गति का अनुभव हैPattern is arrangement of repetition and rhythm is experience of eye movement

Step 1

Concept

Both are related but rhythm gives a feeling of movement. Exam tip: explain pattern and rhythm with different examples.

Step 2

Why this answer is correct

The correct answer is A. पैटर्न दोहराव की व्यवस्था है और लय आंख की गति का अनुभव है / Pattern is arrangement of repetition and rhythm is experience of eye movement. Both are related but rhythm gives a feeling of movement. Exam tip: explain pattern and rhythm with different examples.

Step 3

Exam Tip

दोनों जुड़े हैं पर लय गति महसूस कराती है। परीक्षा में pattern rhythm को अलग उदाहरण से समझाएं।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 4

दृश्य बनावट और पैटर्न कब एक दूसरे के निकट आ जाते हैं?

When do visual texture and pattern come close to each other?

Explanation opens after your attempt

Correct Answer

A. जब चिह्न नियमित रूप से दोहराए जाते हैंWhen marks are repeated regularly

Step 1

Concept

Regular repetition can create pattern along with surface effect. Exam tip: identify texture pattern overlap.

Step 2

Why this answer is correct

The correct answer is A. जब चिह्न नियमित रूप से दोहराए जाते हैं / When marks are repeated regularly. Regular repetition can create pattern along with surface effect. Exam tip: identify texture pattern overlap.

Step 3

Exam Tip

नियमित दोहराव सतह प्रभाव के साथ पैटर्न भी बना सकता है। परीक्षा में texture pattern overlap पहचानें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

पैटर्न में बहुत अधिक नियमितता कब कमजोरी बन सकती है?

When can too much regularity in pattern become a weakness?

Explanation opens after your attempt

Correct Answer

A. जब वह उबाऊ और अनुमानित लगेWhen it looks boring and predictable

Step 1

Concept

Too much regularity can create monotony. Exam tip: write importance of variation in pattern.

Step 2

Why this answer is correct

The correct answer is A. जब वह उबाऊ और अनुमानित लगे / When it looks boring and predictable. Too much regularity can create monotony. Exam tip: write importance of variation in pattern.

Step 3

Exam Tip

अत्यधिक नियमितता एकरसता ला सकती है। परीक्षा में pattern में variation का महत्व लिखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

दृश्य बनावट में अधिक दोहराव कब पैटर्न जैसा लगने लगता है?

When does high repetition in visual texture start looking like a pattern?

Explanation opens after your attempt

Correct Answer

A. जब चिह्न नियमित क्रम में दोहरने लगेंWhen marks repeat in regular order

Step 1

Concept

Regular repetition creates pattern. Exam tip: identify overlap of texture and pattern.

Step 2

Why this answer is correct

The correct answer is A. जब चिह्न नियमित क्रम में दोहरने लगें / When marks repeat in regular order. Regular repetition creates pattern. Exam tip: identify overlap of texture and pattern.

Step 3

Exam Tip

नियमित दोहराव पैटर्न बनाता है। परीक्षा में texture और pattern overlap पहचानें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 2

पैटर्न में एक छोटा बदलाव लय पर क्या प्रभाव डाल सकता है?

What effect can a small change in pattern have on rhythm?

Explanation opens after your attempt

Correct Answer

A. नजर को रोककर जोर बना सकता हैIt can pause the eye and create emphasis

Step 1

Concept

Variation in rhythm attracts attention. Exam tip: connect rhythm variation with emphasis.

Step 2

Why this answer is correct

The correct answer is A. नजर को रोककर जोर बना सकता है / It can pause the eye and create emphasis. Variation in rhythm attracts attention. Exam tip: connect rhythm variation with emphasis.

Step 3

Exam Tip

लय में बदलाव ध्यान खींचता है। परीक्षा में rhythm variation को emphasis से जोड़ें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 1

लय और पैटर्न के बीच सबसे सूक्ष्म अंतर कौन सा है?

What is the most subtle difference between rhythm and pattern?

Explanation opens after your attempt

Correct Answer

A. पैटर्न केवल सजावटी दोहराव हो सकता है और लय आंख की गति बनाती हैPattern can be decorative repetition while rhythm creates eye movement

Step 1

Concept

Both use repetition but rhythm gives a feeling of movement. Exam tip: write pattern and rhythm separately.

Step 2

Why this answer is correct

The correct answer is A. पैटर्न केवल सजावटी दोहराव हो सकता है और लय आंख की गति बनाती है / Pattern can be decorative repetition while rhythm creates eye movement. Both use repetition but rhythm gives a feeling of movement. Exam tip: write pattern and rhythm separately.

Step 3

Exam Tip

दोनों में दोहराव है लेकिन लय गति का अनुभव देती है। परीक्षा में pattern और rhythm को अलग लिखें।

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Question Hard Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 1

पैटर्न में अचानक अलग रंग की आकृति रखने से क्या बनता है?

What is created by placing a differently coloured shape suddenly in a pattern?

Explanation opens after your attempt

Correct Answer

B. केंद्र बिंदु बन सकता हैIt can become a focal point

Step 1

Concept

A change in repetition quickly attracts attention. Exam tip: connect break in pattern with emphasis.

Step 2

Why this answer is correct

The correct answer is B. केंद्र बिंदु बन सकता है / It can become a focal point. A change in repetition quickly attracts attention. Exam tip: connect break in pattern with emphasis.

Step 3

Exam Tip

दोहराव में बदलाव तुरंत ध्यान खींचता है। परीक्षा में break in pattern को emphasis से जोड़ें।

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Question Medium Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 8

पैटर्न और लय में मुख्य अंतर क्या है?

What is the main difference between pattern and rhythm?

Explanation opens after your attempt

Correct Answer

B. पैटर्न सजावटी दोहराव है और लय आंख की गति बनाती हैPattern is decorative repetition and rhythm creates eye movement

Step 1

Concept

Both have repetition but rhythm has stronger sense of movement. Exam tip: write pattern and rhythm separately.

Step 2

Why this answer is correct

The correct answer is B. पैटर्न सजावटी दोहराव है और लय आंख की गति बनाती है / Pattern is decorative repetition and rhythm creates eye movement. Both have repetition but rhythm has stronger sense of movement. Exam tip: write pattern and rhythm separately.

Step 3

Exam Tip

दोनों में दोहराव है पर लय में गति का अनुभव अधिक है। परीक्षा में pattern और rhythm अलग लिखें।

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Question Medium Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 7

पैटर्न में एक अलग रंग की आकृति डालने से कौन सा प्रभाव बनेगा?

What effect is created by adding one differently coloured shape in a pattern?

Explanation opens after your attempt

Correct Answer

D. केंद्र बिंदु बन सकता हैIt can become a focal point

Step 1

Concept

Change in repetition quickly attracts attention. Exam tip: connect break in pattern with emphasis.

Step 2

Why this answer is correct

The correct answer is D. केंद्र बिंदु बन सकता है / It can become a focal point. Change in repetition quickly attracts attention. Exam tip: connect break in pattern with emphasis.

Step 3

Exam Tip

दोहराव में बदलाव तुरंत ध्यान खींचता है। परीक्षा में break in pattern को emphasis से जोड़ें।

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Question Medium Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 7

दृश्य बनावट और पैटर्न में समानता क्या हो सकती है?

What can be a similarity between visual texture and pattern?

Explanation opens after your attempt

Correct Answer

C. दोनों में दोहराए चिह्न हो सकते हैंBoth can have repeated marks

Step 1

Concept

Repeated marks can create both surface effect and pattern. Exam tip: understand texture pattern relation.

Step 2

Why this answer is correct

The correct answer is C. दोनों में दोहराए चिह्न हो सकते हैं / Both can have repeated marks. Repeated marks can create both surface effect and pattern. Exam tip: understand texture pattern relation.

Step 3

Exam Tip

दोहराए चिह्न सतह प्रभाव और पैटर्न दोनों बना सकते हैं। परीक्षा में texture pattern relation समझें।

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Question Medium Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 6

पैटर्न में छोटे बदलाव क्यों जोड़े जाते हैं?

Why are small changes added in a pattern?

Explanation opens after your attempt

Correct Answer

A. रुचि और गति बनाए रखने के लिएTo maintain interest and movement

Step 1

Concept

Variation saves pattern from becoming boring. Exam tip: connect pattern variation with interest.

Step 2

Why this answer is correct

The correct answer is A. रुचि और गति बनाए रखने के लिए / To maintain interest and movement. Variation saves pattern from becoming boring. Exam tip: connect pattern variation with interest.

Step 3

Exam Tip

बदलाव पैटर्न को उबाऊ होने से बचाता है। परीक्षा में pattern variation को interest से जोड़ें।

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Question Medium Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 5

यदि पैटर्न में अचानक एक अलग आकार आ जाए तो क्या बन सकता है?

What can be created if a different shape suddenly appears in a pattern?

Explanation opens after your attempt

Correct Answer

A. केंद्र बिंदुFocal point

Step 1

Concept

A change in repetition quickly attracts attention. Exam tip: connect break in pattern with emphasis.

Step 2

Why this answer is correct

The correct answer is A. केंद्र बिंदु / Focal point. A change in repetition quickly attracts attention. Exam tip: connect break in pattern with emphasis.

Step 3

Exam Tip

दोहराव में बदलाव तुरंत ध्यान खींचता है। परीक्षा में break in pattern को emphasis से जोड़ें।

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Question Medium Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 4

किससे पैटर्न और बनावट दोनों एक साथ बन सकते हैं?

What can create both pattern and texture together?

Explanation opens after your attempt

Correct Answer

A. दोहराए छोटे शल्क जैसे आकारRepeated small scale-like shapes

Step 1

Concept

Repeated small shapes create both pattern and surface effect. Exam tip: understand pattern texture relation.

Step 2

Why this answer is correct

The correct answer is A. दोहराए छोटे शल्क जैसे आकार / Repeated small scale-like shapes. Repeated small shapes create both pattern and surface effect. Exam tip: understand pattern texture relation.

Step 3

Exam Tip

दोहराए छोटे आकार पैटर्न और सतह प्रभाव दोनों बनाते हैं। परीक्षा में pattern texture संबंध समझें।

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Question Medium Art Education Fundamentals of Visual Arts Elements of Art Class 10 Level 3

लय और पैटर्न में संबंध क्या है?

What is the relation between rhythm and pattern?

Explanation opens after your attempt

Correct Answer

A. दोहराव दोनों में महत्वपूर्ण होता हैRepetition is important in both

Step 1

Concept

Repetition is the base of both pattern and rhythm. Exam tip: connect repetition with both.

Step 2

Why this answer is correct

The correct answer is A. दोहराव दोनों में महत्वपूर्ण होता है / Repetition is important in both. Repetition is the base of both pattern and rhythm. Exam tip: connect repetition with both.

Step 3

Exam Tip

दोहराव पैटर्न और लय दोनों का आधार है। परीक्षा में repetition को दोनों से जोड़ें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक टाइल पैटर्न में पहली आकृति में (20) टाइलें हैं और हर अगली आकृति में (12) टाइलें अधिक हैं। पहली (17) आकृतियों में कुल कितनी टाइलें लगेंगी?

In a tile pattern the first figure has (20) tiles and each next figure has (12) more tiles. How many tiles are used in the first (17) figures?

Explanation opens after your attempt

Correct Answer

A. (1972)

Step 1

Concept

The tile numbers are $20,32,44,\ldots$ and $S_{17}=1972$. Exam tip: find the total of a pattern using the sum formula.

Step 2

Why this answer is correct

The correct answer is A. (1972). The tile numbers are $20,32,44,\ldots$ and $S_{17}=1972$. Exam tip: find the total of a pattern using the sum formula.

Step 3

Exam Tip

टाइलों की संख्या $20,32,44,\ldots$ है और $S_{17}=1972$। परीक्षा में पैटर्न के कुल को योग सूत्र से निकालें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक टाइल पैटर्न में पहली आकृति में (18) टाइलें हैं और हर अगली आकृति में (9) टाइलें अधिक हैं। पहली (16) आकृतियों में कुल कितनी टाइलें लगेंगी?

In a tile pattern the first figure has (18) tiles and each next figure has (9) more tiles. How many tiles are used in the first (16) figures?

Explanation opens after your attempt

Correct Answer

C. (1368)

Step 1

Concept

The tile numbers are $18,27,36,\ldots$ and $S_{16}=1368$. Exam tip: find the total of a pattern using the sum formula.

Step 2

Why this answer is correct

The correct answer is C. (1368). The tile numbers are $18,27,36,\ldots$ and $S_{16}=1368$. Exam tip: find the total of a pattern using the sum formula.

Step 3

Exam Tip

टाइलों की संख्या $18,27,36,\ldots$ है और $S_{16}=1368$। परीक्षा में पैटर्न के कुल को योग सूत्र से निकालें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

माचिस की तीलियों के पैटर्न में पहली आकृति में (22) तीलियां हैं और हर अगली आकृति में (11) तीलियां अधिक हैं। (19)वीं आकृति में कितनी तीलियां होंगी?

In a matchstick pattern the first figure has (22) matchsticks and each next figure has (11) more matchsticks. How many matchsticks are in the (19)th figure?

Explanation opens after your attempt

Correct Answer

B. (220)

Step 1

Concept

The matchstick numbers are $22,33,44,\ldots$ and $a_{19}=220$. Exam tip: take the figure number as the term number.

Step 2

Why this answer is correct

The correct answer is B. (220). The matchstick numbers are $22,33,44,\ldots$ and $a_{19}=220$. Exam tip: take the figure number as the term number.

Step 3

Exam Tip

तीलियों की संख्या $22,33,44,\ldots$ है और $a_{19}=220$। परीक्षा में आकृति संख्या को पद संख्या मानें।

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Question Expert Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक चित्र पैटर्न में पहली आकृति में (11) बिंदु हैं और हर अगली आकृति में (6) बिंदु अधिक हैं। पहली (24) आकृतियों में कुल कितने बिंदु होंगे?

In a figure pattern the first figure has (11) dots and each next figure has (6) more dots. How many dots are there in the first (24) figures?

Explanation opens after your attempt

Correct Answer

B. (1920)

Step 1

Concept

The dot numbers are $11,17,23,\ldots$ and $S_{24}=1920$. Exam tip: use the sum formula for the total of a pattern.

Step 2

Why this answer is correct

The correct answer is B. (1920). The dot numbers are $11,17,23,\ldots$ and $S_{24}=1920$. Exam tip: use the sum formula for the total of a pattern.

Step 3

Exam Tip

बिंदुओं की संख्या $11,17,23,\ldots$ है और $S_{24}=1920$। परीक्षा में पैटर्न के कुल के लिए योग सूत्र लगाएं।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक टाइल पैटर्न में पहली आकृति में (12) टाइलें हैं और हर अगली आकृति में (8) टाइलें अधिक हैं। पहली (18) आकृतियों में कुल कितनी टाइलें लगेंगी?

In a tile pattern the first figure has (12) tiles and each next figure has (8) more tiles. How many tiles are used in the first (18) figures?

Explanation opens after your attempt

Correct Answer

B. (1440)

Step 1

Concept

The tile numbers are $12,20,28,\ldots$ and $S_{18}=1440$. Exam tip: find the total of a pattern using the sum formula.

Step 2

Why this answer is correct

The correct answer is B. (1440). The tile numbers are $12,20,28,\ldots$ and $S_{18}=1440$. Exam tip: find the total of a pattern using the sum formula.

Step 3

Exam Tip

टाइलों की संख्या $12,20,28,\ldots$ है और $S_{18}=1440$। परीक्षा में पैटर्न के कुल को योग सूत्र से निकालें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

माचिस की तीलियों के पैटर्न में पहली आकृति में (15) तीलियां हैं और हर अगली आकृति में (9) तीलियां अधिक हैं। (20)वीं आकृति में कितनी तीलियां होंगी?

In a matchstick pattern the first figure has (15) matchsticks and each next figure has (9) more matchsticks. How many matchsticks are in the (20)th figure?

Explanation opens after your attempt

Correct Answer

C. (186)

Step 1

Concept

The matchstick numbers are $15,24,33,\ldots$ and $a_{20}=186$. Exam tip: take the figure number as the term number.

Step 2

Why this answer is correct

The correct answer is C. (186). The matchstick numbers are $15,24,33,\ldots$ and $a_{20}=186$. Exam tip: take the figure number as the term number.

Step 3

Exam Tip

तीलियों की संख्या $15,24,33,\ldots$ है और $a_{20}=186$। परीक्षा में आकृति संख्या को पद संख्या मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक टाइल पैटर्न में पहली आकृति में (9) टाइलें हैं और हर अगली आकृति में (7) टाइलें अधिक हैं। पहली (15) आकृतियों में कुल कितनी टाइलें लगेंगी?

In a tile pattern the first figure has (9) tiles and each next figure has (7) more tiles. How many tiles are used in the first (15) figures?

Explanation opens after your attempt

Correct Answer

C. (870)

Step 1

Concept

The tile numbers are $9,16,23,\ldots$ and $S_{15}=870$. Exam tip: find the total of a pattern using the sum formula.

Step 2

Why this answer is correct

The correct answer is C. (870). The tile numbers are $9,16,23,\ldots$ and $S_{15}=870$. Exam tip: find the total of a pattern using the sum formula.

Step 3

Exam Tip

टाइलों की संख्या $9,16,23,\ldots$ है और $S_{15}=870$। परीक्षा में पैटर्न के कुल को योग सूत्र से निकालें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

माचिस की तीलियों के पैटर्न में पहली आकृति में (10) तीलियां हैं और हर अगली आकृति में (8) तीलियां अधिक हैं। (16)वीं आकृति में कितनी तीलियां होंगी?

In a matchstick pattern the first figure has (10) matchsticks and each next figure has (8) more matchsticks. How many matchsticks are in the (16)th figure?

Explanation opens after your attempt

Correct Answer

C. (130)

Step 1

Concept

The matchstick numbers are $10,18,26,\ldots$ and $a_{16}=130$. Exam tip: take the figure number as the term number.

Step 2

Why this answer is correct

The correct answer is C. (130). The matchstick numbers are $10,18,26,\ldots$ and $a_{16}=130$. Exam tip: take the figure number as the term number.

Step 3

Exam Tip

तीलियों की संख्या $10,18,26,\ldots$ है और $a_{16}=130$। परीक्षा में आकृति संख्या को पद संख्या मानें।

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Question Hard Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक टाइल पैटर्न में पहली आकृति में (7) टाइलें हैं और हर अगली आकृति में (6) टाइलें अधिक हैं। पहली (14) आकृतियों में कुल कितनी टाइलें लगेंगी?

In a tile pattern the first figure has (7) tiles and each next figure has (6) more tiles. How many tiles are used in the first (14) figures?

Explanation opens after your attempt

Correct Answer

B. (644)

Step 1

Concept

The tile numbers are $7,13,19,\ldots$, and $S_{14}=644$. Exam tip: find the total of a pattern using the sum formula.

Step 2

Why this answer is correct

The correct answer is B. (644). The tile numbers are $7,13,19,\ldots$, and $S_{14}=644$. Exam tip: find the total of a pattern using the sum formula.

Step 3

Exam Tip

टाइलों की संख्या $7,13,19,\ldots$ है और $S_{14}=644$। परीक्षा में पैटर्न के कुल को योग सूत्र से निकालें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

माचिस की तीलियों के एक पैटर्न में पहली आकृति में (8) तीलियां हैं और हर अगली आकृति में (5) तीलियां अधिक हैं। (14)वीं आकृति में कितनी तीलियां होंगी?

In a matchstick pattern the first figure has (8) matchsticks and each next figure has (5) more matchsticks. How many matchsticks are in the (14)th figure?

Explanation opens after your attempt

Correct Answer

C. (73)

Step 1

Concept

The matchstick numbers are $8,13,18,\ldots$ and $a_{14}=73$. Exam tip: in pattern questions check whether the difference is constant.

Step 2

Why this answer is correct

The correct answer is C. (73). The matchstick numbers are $8,13,18,\ldots$ and $a_{14}=73$. Exam tip: in pattern questions check whether the difference is constant.

Step 3

Exam Tip

तीलियों की संख्या $8,13,18,\ldots$ है और $a_{14}=73$। परीक्षा में पैटर्न प्रश्नों में अंतर स्थिर है या नहीं जांचें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक टाइल पैटर्न में पहली आकृति में (10) टाइलें हैं और हर अगली आकृति में (7) टाइलें अधिक हैं। (11)वीं आकृति में कितनी टाइलें होंगी?

In a tile pattern the first figure has (10) tiles and each next figure has (7) more tiles. How many tiles are in the (11)th figure?

Explanation opens after your attempt

Correct Answer

C. (80)

Step 1

Concept

The tile numbers are $10,17,24,\ldots$ and $a_{11}=80$. Exam tip: take the figure number as the term number.

Step 2

Why this answer is correct

The correct answer is C. (80). The tile numbers are $10,17,24,\ldots$ and $a_{11}=80$. Exam tip: take the figure number as the term number.

Step 3

Exam Tip

टाइलों की संख्या $10,17,24,\ldots$ है और $a_{11}=80$। परीक्षा में आकृति संख्या को पद संख्या मानें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

माचिस की तीलियों के एक पैटर्न में पहली आकृति में (9) तीलियां हैं और हर अगली आकृति में (6) तीलियां अधिक हैं। (12)वीं आकृति में कितनी तीलियां होंगी?

In a matchstick pattern the first figure has (9) matchsticks and each next figure has (6) more matchsticks. How many matchsticks are in the (12)th figure?

Explanation opens after your attempt

Correct Answer

C. (75)

Step 1

Concept

The matchstick numbers are $9,15,21,\ldots$ and $a_{12}=75$. Exam tip: in pattern questions check whether the difference is constant.

Step 2

Why this answer is correct

The correct answer is C. (75). The matchstick numbers are $9,15,21,\ldots$ and $a_{12}=75$. Exam tip: in pattern questions check whether the difference is constant.

Step 3

Exam Tip

तीलियों की संख्या $9,15,21,\ldots$ है और $a_{12}=75$। परीक्षा में पैटर्न प्रश्नों में अंतर स्थिर है या नहीं जांचें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक टाइल पैटर्न में पहली आकृति में (7) टाइलें हैं और हर अगली आकृति में (5) टाइलें अधिक हैं। (13)वीं आकृति में कितनी टाइलें होंगी?

In a tile pattern the first figure has (7) tiles and each next figure has (5) more tiles. How many tiles are in the (13)th figure?

Explanation opens after your attempt

Correct Answer

C. (67)

Step 1

Concept

The tile numbers are $7,12,17,\ldots$ and $a_{13}=67$. Exam tip: take the figure number as the term number.

Step 2

Why this answer is correct

The correct answer is C. (67). The tile numbers are $7,12,17,\ldots$ and $a_{13}=67$. Exam tip: take the figure number as the term number.

Step 3

Exam Tip

टाइलों की संख्या $7,12,17,\ldots$ है और $a_{13}=67$। परीक्षा में आकृति संख्या को पद संख्या मानें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक टाइल पैटर्न में पहली आकृति में (4) टाइलें हैं और हर अगली आकृति में (6) टाइलें अधिक हैं। (12)वीं आकृति में कितनी टाइलें होंगी?

In a tile pattern the first figure has (4) tiles and each next figure has (6) more tiles. How many tiles are in the (12)th figure?

Explanation opens after your attempt

Correct Answer

C. (70)

Step 1

Concept

The tile numbers are $4,10,16,\ldots$ and $a_{12}=70$. Exam tip: take the figure number as the term number.

Step 2

Why this answer is correct

The correct answer is C. (70). The tile numbers are $4,10,16,\ldots$ and $a_{12}=70$. Exam tip: take the figure number as the term number.

Step 3

Exam Tip

टाइलों की संख्या $4,10,16,\ldots$ है और $a_{12}=70$। परीक्षा में आकृति संख्या को पद संख्या मानें।

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Question Medium Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

माचिस की तीलियों के एक पैटर्न में पहली आकृति में (6) तीलियां हैं और हर अगली आकृति में (4) तीलियां अधिक हैं। (15)वीं आकृति में कितनी तीलियां होंगी?

In a matchstick pattern the first figure has (6) matchsticks and each next figure has (4) more matchsticks. How many matchsticks are in the (15)th figure?

Explanation opens after your attempt

Correct Answer

C. (62)

Step 1

Concept

The matchstick numbers are $6,10,14,\ldots$ and $a_{15}=62$. Exam tip: in pattern questions check whether the difference is constant.

Step 2

Why this answer is correct

The correct answer is C. (62). The matchstick numbers are $6,10,14,\ldots$ and $a_{15}=62$. Exam tip: in pattern questions check whether the difference is constant.

Step 3

Exam Tip

तीलियों की संख्या $6,10,14,\ldots$ है और $a_{15}=62$। परीक्षा में पैटर्न प्रश्नों में अंतर स्थिर है या नहीं जांचें।

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Question Easy Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 72

एक चित्र पैटर्न में पहली आकृति में (4) बिंदु हैं और हर अगली आकृति में (5) बिंदु अधिक हैं। (9)वीं आकृति में कितने बिंदु होंगे?

In a figure pattern the first figure has (4) dots and each next figure has (5) more dots. How many dots are in the (9)th figure?

Explanation opens after your attempt

Correct Answer

C. (44)

Step 1

Concept

The number of dots is $4,9,14,\ldots$. (a_9=4+8(5)=44).

Step 2

Why this answer is correct

The correct answer is C. (44). The number of dots is $4,9,14,\ldots$. (a_9=4+8(5)=44).

Step 3

Exam Tip

बिंदुओं की संख्या $4,9,14,\ldots$ है। (a_9=4+8(5)=44)।

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Question Easy Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 71

एक चित्र पैटर्न में पहली आकृति में (5) बिंदु हैं और हर अगली आकृति में (3) बिंदु अधिक हैं। (10)वीं आकृति में कितने बिंदु होंगे?

In a figure pattern the first figure has (5) dots and each next figure has (3) more dots. How many dots are in the (10)th figure?

Explanation opens after your attempt

Correct Answer

B. (32)

Step 1

Concept

The number of dots is $5,8,11,\ldots$. (a_{10}=5+9(3)=32).

Step 2

Why this answer is correct

The correct answer is B. (32). The number of dots is $5,8,11,\ldots$. (a_{10}=5+9(3)=32).

Step 3

Exam Tip

बिंदुओं की संख्या $5,8,11,\ldots$ है। (a_{10}=5+9(3)=32)।

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Question Easy Mathematics Arithmetic Progressions (AP) Word problems based on APs Class 10 Level 70

एक पैटर्न में पहली आकृति में (3) माचिस की तीलियां हैं और हर अगली आकृति में (4) तीलियां अधिक हैं। (11)वीं आकृति में कितनी तीलियां होंगी?

In a pattern, the first figure has (3) matchsticks and each next figure has (4) more matchsticks. How many matchsticks are in the (11)th figure?

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

The number of matchsticks is $3,7,11,\ldots$. (a_{11}=3+10(4)=43).

Step 2

Why this answer is correct

The correct answer is C. (43). The number of matchsticks is $3,7,11,\ldots$. (a_{11}=3+10(4)=43).

Step 3

Exam Tip

तीलियों की संख्या $3,7,11,\ldots$ है। (a_{11}=3+10(4)=43)।

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Question Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 63

अनुक्रम $35,30,25,20,\ldots$ में प्रत्येक पद पिछले पद से कितना कम है?

In the sequence $35,30,25,20,\ldots$, how much less is each term than the previous term?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

Each next term is (5) less than the previous term. Its common difference will be (-5).

Step 2

Why this answer is correct

The correct answer is C. (5). Each next term is (5) less than the previous term. Its common difference will be (-5).

Step 3

Exam Tip

हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा।

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Question Easy Mathematics Arithmetic Progressions (AP) Introduction to APs and common difference. Class 10 Level 61

अनुक्रम $50,45,40,35,\ldots$ में प्रत्येक पद पिछले पद से कितना कम है?

In the sequence $50,45,40,35,\ldots$, how much less is each term than the previous term?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

Each next term is (5) less than the previous term. Its common difference will be (-5).

Step 2

Why this answer is correct

The correct answer is C. (5). Each next term is (5) less than the previous term. Its common difference will be (-5).

Step 3

Exam Tip

हर अगला पद पिछले पद से (5) कम है। इसका सार्व अंतर (-5) होगा।

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फूट डालो और राज करो नीति को अल्पकालिक नियंत्रण और दीर्घकालिक संकट दोनों से कैसे जोड़ा जा सकता है?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी का (5)वां पद (x+7) और (12)वां पद (x+42) है तो (20)वां पद (x) के रूप में क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि AP का (5)वां पद (27) और (14)वां पद (90) है तो (20)वां पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी का (4)वां पद (15) और (12)वां पद (55) है तो (16)वां पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि AP का (3)वां पद (8) और (8)वां पद (3) है, तो (11)वां पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि किसी AP का (p)वां पद (q) और (q)वां पद (p) है, तो उसका ((p+q))वां पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि किसी समान्तर श्रेणी का (5)वां पद (16) और (9)वां पद (32) है, तो (13)वां पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

मोलोटोव रिबेंट्रोप संधि को अल्पकालीन लाभ और दीर्घकालीन खतरे दोनों से कैसे समझा जा सकता है?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी का (8)वां पद (x+19) और (20)वां पद (x+91) है, तो (35)वां पद (x) के रूप में क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी का (7)वां पद (x+13) और (18)वां पद (x+90) है तो (32)वां पद (x) के रूप में क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि समान्तर श्रेणी का (6)वां पद (x+11) और (15)वां पद (x+65) है तो (27)वां पद (x) के रूप में क्या होगा?

Concept

Why this answer is correct

Exam Tip

किसी समान्तर श्रेणी का (12)वां पद (71) और सार्व अंतर (5) है। पहला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

किसी समान्तर श्रेणी का (9)वां पद (47) और सार्व अंतर (4) है। पहला पद क्या है?

Concept

Why this answer is correct

Exam Tip

एक समान्तर श्रेणी का (6)वां पद (23) और सार्व अंतर (5) है। पहला पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

समांतर श्रेढ़ी का सामान्य पद \(a_n=7n+2\) है। (11)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

उपनिवेशीकरण और उपनिवेश मुक्ति के दीर्घकालिक प्रभावों को समझने के लिए कौन सा दृष्टिकोण सबसे अच्छा है?

Concept

Why this answer is correct

Exam Tip

उपनिवेशीकरण और उपनिवेश मुक्ति के दीर्घकालिक प्रभाव समझने का सबसे अच्छा तरीका क्या है?

Concept

Why this answer is correct

Exam Tip

अठारह सौ अड़तालीस की क्रांतियों में तत्काल असफलता और दीर्घकालीन प्रभाव का संबंध क्या था?

Concept

Why this answer is correct

Exam Tip

मध्यम स्तर पर क्रांति के दीर्घकालीन प्रभाव को कैसे लिखना चाहिए?

Concept

Why this answer is correct

Exam Tip

कौन सा उदाहरण हार्मोन द्वारा लंबे समय तक नियंत्रण को सबसे अच्छा दिखाता है?

Concept

Why this answer is correct