100 results found for "long term value" in Class 10.
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?
#divide-and-rule
#short-term-control
#long-term-crisis
A इससे तत्काल विरोध कमजोर हो सकता था लेकिन सामाजिक अविश्वास बचता था / It could weaken immediate resistance but leave social distrust
B इससे स्थायी समानता बनती थी / It created permanent equality
C इससे उपनिवेशवाद तुरंत समाप्त होता था / It immediately ended colonialism
D यह केवल वित्तीय नीति थी / It was only financial policy
Explanation opens after your attempt
Correct Answer
A. इससे तत्काल विरोध कमजोर हो सकता था लेकिन सामाजिक अविश्वास बचता था / It 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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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)?
#ap-algebra-hard
A (x+74)
B (x+77)
C (x+82)
D (x+89)
Explanation opens after your attempt
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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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?
#ap two-terms nth-term class10
A (126)
B (130)
C (132)
D (136)
Explanation opens after your attempt
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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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?
#ap
#two-terms
#nth-term
#class10
A (70)
B (80)
C (75)
D (85)
Explanation opens after your attempt
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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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?
#ap
#two-terms
#nth-term
#class10
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
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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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?
#ap
#symbolic
#nth-term
#class10
A (0)
B (p+q)
C (p-q)
D (q-p)
Explanation opens after your attempt
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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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?
#ap
#two-known-terms
#nth-term
#class10
A (44)
B (46)
C (48)
D (50)
Explanation opens after your attempt
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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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?
#world history
#world wars
#molotov ribbentrop
#long term
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
B इसने जर्मनी और सोवियत संघ को स्थायी मित्र बना दिया / It made Germany and the Soviet Union permanent friends
C इसने जापान को यूरोप दे दिया / It gave Europe to Japan
D इसने संयुक्त राष्ट्र बना दिया / It created the United Nations
Explanation opens after your attempt
Correct Answer
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
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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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)?
#ap-algebra-expert
A (x+169)
B (x+175)
C (x+181)
D (x+187)
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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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)?
#ap algebra hard
A (x+181)
B (x+188)
C (x+195)
D (x+202)
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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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)?
#ap-algebra-hard
A (x+131)
B (x+137)
C (x+143)
D (x+149)
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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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?
#ap first-term known-term class10
A (18)
B (14)
C (20)
D (16)
Explanation opens after your attempt
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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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?
#ap
#first-term
#nth-term
#class10
A (11)
B (13)
C (17)
D (15)
Explanation opens after your attempt
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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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?
#ap
#first-term
#nth-term
#class10
A (0)
B (3)
C (2)
D (-2)
Explanation opens after your attempt
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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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.
#ap
#general term
#nth term
A (72)
B (84)
C (79)
D (77)
Explanation opens after your attempt
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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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?
#colonization
#decolonization
#long-term-effects
A राजनीतिक अर्थव्यवस्था संस्कृति सीमा और राष्ट्र निर्माण को साथ देखना / Seeing politics economy culture borders and nation building together
B केवल स्वतंत्रता वर्ष याद रखना / Remembering only independence years
C सभी देशों को बिना संदर्भ समान मानना / Treating all countries as same without context
D केवल नेताओं के नाम लिखना / Writing only names of leaders
Explanation opens after your attempt
Correct Answer
A. राजनीतिक अर्थव्यवस्था संस्कृति सीमा और राष्ट्र निर्माण को साथ देखना / Seeing 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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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?
#colonization
#decolonization
#long-term-effects
A राजनीतिक नियंत्रण आर्थिक शोषण सांस्कृतिक प्रभाव और राष्ट्र निर्माण को साथ देखना / Seeing political control economic exploitation cultural impact and nation building together
B केवल स्वतंत्रता वर्ष याद करना / Remembering only independence years
C केवल नेताओं के नाम याद करना / Remembering only names of leaders
D सभी क्षेत्रों को बिना संदर्भ एक जैसा मानना / Treating all regions alike without context
Explanation opens after your attempt
Correct Answer
A. राजनीतिक नियंत्रण आर्थिक शोषण सांस्कृतिक प्रभाव और राष्ट्र निर्माण को साथ देखना / Seeing 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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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?
#world history
#revolutions
#1848
#long term impact
A तत्काल दमन के बावजूद राष्ट्रवाद और उदारवाद आगे मजबूत हुए / Despite immediate repression nationalism and liberalism later grew stronger
B वे पूरी तरह बिना प्रभाव समाप्त हो गईं / They ended completely without impact
C उन्होंने हर जगह स्थायी गणतंत्र बनाए / They created permanent republics everywhere
D उन्होंने औद्योगिकीकरण रोक दिया / They stopped industrialization
Explanation opens after your attempt
Correct Answer
A. तत्काल दमन के बावजूद राष्ट्रवाद और उदारवाद आगे मजबूत हुए / Despite 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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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?
#world history
#revolutions
#long term impact
#answer writing
A केवल एक तारीख लिखकर / By writing only one date
B सत्ता समाज अर्थव्यवस्था और विचारों पर प्रभाव बताकर / By explaining effects on power society economy and ideas
C केवल नेता का नाम लिखकर / By writing only the leader's name
D केवल स्थान लिखकर / By writing only the place
Explanation opens after your attempt
Correct Answer
B. सत्ता समाज अर्थव्यवस्था और विचारों पर प्रभाव बताकर / By 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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कौन सा उदाहरण हार्मोन द्वारा लंबे समय तक नियंत्रण को सबसे अच्छा दिखाता है?
Which example best shows long term control by hormones?
#hormones
#adolescence
#long term control
A किशोरावस्था में शरीर में बदलाव / Body changes during adolescence
B गर्म वस्तु से हाथ हटाना / Pulling hand away from a hot object
C आंख झपकना / Blinking of eye
D कांटा चुभते ही पैर हटना / Moving foot away after thorn prick
Explanation opens after your attempt
Correct Answer
A. किशोरावस्था में शरीर में बदलाव / Body 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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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?
#long term effect
#europe
#nationalism
#absolutism
#dynasty
A राजवंशीय और निरंकुश शासन की वैधता पर लगातार प्रश्न उठे / The legitimacy of dynastic and absolutist rule was repeatedly questioned
B सभी देशों ने सामंती व्यवस्था वापस स्वीकार कर ली / All countries accepted feudal order again
C नागरिक अधिकारों की चर्चा समाप्त हो गई / Discussion of civic rights ended
D जनता राजनीतिक रूप से निष्क्रिय हो गई / People became politically inactive
Explanation opens after your attempt
Correct Answer
A. राजवंशीय और निरंकुश शासन की वैधता पर लगातार प्रश्न उठे / The 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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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?
#long term result
#1848
#national unity
A संविधान अधिकार और राष्ट्रीय एकता के विचार आगे भी प्रभावशाली रहे / Ideas of constitution rights and national unity remained influential later
B राष्ट्रवाद हमेशा के लिए समाप्त हो गया / Nationalism ended forever
C जनता ने राजनीति में भाग लेना छोड़ दिया / People stopped participating in politics
D सभी साम्राज्य तुरंत टूट गए / All empires immediately collapsed
Explanation opens after your attempt
Correct Answer
A. संविधान अधिकार और राष्ट्रीय एकता के विचार आगे भी प्रभावशाली रहे / Ideas 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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यदि समान्तर श्रेणी \(y,y+6,y+12,\ldots\) का (12)वां पद (89) है तो (y) का मान क्या है?
If the (12)th term of the AP \(y,y+6,y+12,\ldots\) is (89), what is the value of (y)?
#ap
#variable-first-term
#nth-term
#class10
A (17)
B (19)
C (21)
D (23)
Explanation opens after your attempt
Step 1
Concept
From \(89=y+11\times6\), (y=23). Treat the variable first term directly as (a).
Step 2
Why this answer is correct
The correct answer is D. (23). From \(89=y+11\times6\), (y=23). Treat the variable first term directly as (a).
Step 3
Exam Tip
\(89=y+11\times6\) से (y=23)। चर वाले पहले पद को सीधे (a) मानें।
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यदि समान्तर श्रेणी \(x, x+4, x+8,\ldots\) का (10)वां पद (50) है, तो (x) का मान क्या है?
If the (10)th term of the AP \(x, x+4, x+8,\ldots\) is (50), what is the value of (x)?
#ap
#variable-first-term
#nth-term
#class10
A (10)
B (12)
C (14)
D (16)
Explanation opens after your attempt
Step 1
Concept
\(50=x+9\times4\), so (x=14). Treat the variable first term as (a) and apply the formula.
Step 2
Why this answer is correct
The correct answer is C. (14). \(50=x+9\times4\), so (x=14). Treat the variable first term as (a) and apply the formula.
Step 3
Exam Tip
\(50=x+9\times4\), इसलिए (x=14)। चर वाले पहले पद को (a) मानकर सूत्र लगाएं।
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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?
#term condition
#ap sum
#expert
A (1425)
B (1485)
C (1545)
D (1605)
Explanation opens after your attempt
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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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?
#term condition
#ap sum
#hard
A (1050)
B (1025)
C (1075)
D (1100)
Explanation opens after your attempt
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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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?
#term condition
#ap sum
#hard
A (1000)
B (1025)
C (1050)
D (1075)
Explanation opens after your attempt
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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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?
#term condition
#ap sum
#hard
A (528)
B (552)
C (576)
D (600)
Explanation opens after your attempt
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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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?
#ap direct-formula nth-term class10
A (293)
B (301)
C (303)
D (311)
Explanation opens after your attempt
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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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?
#ap symbolic nth-term class10
A (3r+18)
B (3r+20)
C (3r+22)
D (3r+24)
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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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?
#ap
#direct-formula
#nth-term
#class10
A (294)
B (304)
C (309)
D (299)
Explanation opens after your attempt
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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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?
#ap
#symbolic
#nth-term
#class10
A (2m+8)
B (2m+10)
C (2m+11)
D (2m+13)
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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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?
#ap
#common-difference
#nth-term
#class10
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
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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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?
#ap
#direct-formula
#nth-term
#class10
A (191)
B (197)
C (203)
D (209)
Explanation opens after your attempt
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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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?
#ap
#common-difference
#nth-term
#class10
A (5)
B (4)
C (6)
D (7)
Explanation opens after your attempt
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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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?
#ap
#common-difference
#nth-term
#class10
A (3)
B (5)
C (4)
D (6)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#medium
#class10
A (75)
B (71)
C (79)
D (83)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (53)
B (55)
C (57)
D (59)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (61)
B (63)
C (65)
D (67)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (59)
B (69)
C (79)
D (89)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (29)
B (31)
C (34)
D (36)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (62)
B (64)
C (66)
D (68)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (34)
B (36)
C (38)
D (40)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (39)
B (41)
C (43)
D (45)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (-13)
B (-11)
C (-9)
D (-7)
Explanation opens after your attempt
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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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?
#ap
#nth-term
#easy
#class10
A (23)
B (24)
C (26)
D (28)
Explanation opens after your attempt
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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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?
#nth term
#ap expression
#class 10
A (39)
B (41)
C (36)
D (38)
Explanation opens after your attempt
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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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?
#ap formula
#nth term
#class 10
A (101)
B (105)
C (109)
D (96)
Explanation opens after your attempt
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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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?
#ap common difference
#nth term
#easy
A (83)
B (70)
C (79)
D (76)
Explanation opens after your attempt
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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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?
#arithmetic progression
#nth term
#easy
#class 10
A (31)
B (30)
C (34)
D (27)
Explanation opens after your attempt
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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किसी समांतर श्रेढ़ी के पहले पद और (60)वें पद का योग (300) है। (21)वें पद से (40)वें पद तक का योग ज्ञात कीजिए।
The sum of the first term and the (60)th term of an AP is (300). Find the sum from the (21)st term to the (40)th term.
#symmetric terms
#range sum
#ap
A (2900)
B (2950)
C (3000)
D (3050)
Explanation opens after your attempt
Step 1
Concept
\(a_{21}+a_{40}=a_1+a_{60}=300\), so the sum of (20) terms is (3000). Sums of symmetric terms are equal in an AP.
Step 2
Why this answer is correct
The correct answer is C. (3000). \(a_{21}+a_{40}=a_1+a_{60}=300\), so the sum of (20) terms is (3000). Sums of symmetric terms are equal in an AP.
Step 3
Exam Tip
\(a_{21}+a_{40}=a_1+a_{60}=300\), इसलिए (20) पदों का योग (3000) है। सममित पदों का योग बराबर होता है।
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किसी समांतर श्रेढ़ी के पहले पद और (40)वें पद का योग (210) है। (11)वें पद से (30)वें पद तक का योग ज्ञात कीजिए।
The sum of the first term and the (40)th term of an AP is (210). Find the sum from the (11)th term to the (30)th term.
#symmetric terms
#range sum
#ap
A (2000)
B (2100)
C (2200)
D (2300)
Explanation opens after your attempt
Step 1
Concept
\(a_{11}+a_{30}=a_1+a_{40}=210\), so the sum of (20) terms is (2100). Sums of symmetric terms are equal in an AP.
Step 2
Why this answer is correct
The correct answer is B. (2100). \(a_{11}+a_{30}=a_1+a_{40}=210\), so the sum of (20) terms is (2100). Sums of symmetric terms are equal in an AP.
Step 3
Exam Tip
\(a_{11}+a_{30}=a_1+a_{40}=210\), इसलिए (20) पदों का योग (2100) है। सममित पदों का योग बराबर होता है।
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किसी समांतर श्रेढ़ी में पहले (20) पदों का योग (740) है और (20)वाँ पद (60) है। पहला पद ज्ञात कीजिए।
In an AP, the sum of the first (20) terms is (740), and the (20)th term is (60). Find the first term.
#first term
#last term
#sum
#ap
A (10)
B (14)
C (18)
D (22)
Explanation opens after your attempt
Step 1
Concept
From (740=10(a+60)), (a=14). When the (n)th term is given, use it as the last term for the first (n) terms.
Step 2
Why this answer is correct
The correct answer is B. (14). From (740=10(a+60)), (a=14). When the (n)th term is given, use it as the last term for the first (n) terms.
Step 3
Exam Tip
(740=10(a+60)) से (a=14) मिलता है। जब (n)वाँ पद दिया हो तो उसे अंतिम पद की तरह इस्तेमाल करें।
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(600) से कम (13) के धनात्मक गुणजों में अंतिम पद क्या है?
What is the last term among the positive multiples of (13) less than (600)?
#ap multiples last-term nth-term
A (585)
B (598)
C (611)
D (624)
Explanation opens after your attempt
Step 1
Concept
In (13n<600), the greatest (n=46) so the term is \(13\times46=598\). Take the greatest integer below the limit.
Step 2
Why this answer is correct
The correct answer is B. (598). In (13n<600), the greatest (n=46) so the term is \(13\times46=598\). Take the greatest integer below the limit.
Step 3
Exam Tip
(13n<600) में सबसे बड़ा (n=46) है इसलिए पद \(13\times46=598\)। सीमा से कम सबसे बड़ा पूर्णांक लें।
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समान्तर श्रेणी \(73,68,63,\ldots\) का (n)वां पद (-12) है। (n) क्या है?
The (n)th term of the AP \(73,68,63,\ldots\) is (-12). What is (n)?
#ap negative-term term-number class10
A (16)
B (17)
C (18)
D (19)
Explanation opens after your attempt
Step 1
Concept
From (-12=73+(n-1)(-5)), (85=5(n-1)) so (n=18). In a decreasing AP keep signs correct up to the negative target.
Step 2
Why this answer is correct
The correct answer is C. (18). From (-12=73+(n-1)(-5)), (85=5(n-1)) so (n=18). In a decreasing AP keep signs correct up to the negative target.
Step 3
Exam Tip
(-12=73+(n-1)(-5)) से (85=5(n-1)) इसलिए (n=18)। घटती AP में ऋणात्मक लक्ष्य तक चिन्ह सही रखें।
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यदि AP \(z,z+5,z+10,\ldots\) का (19)वां पद (112) है तो (z) क्या होगा?
If the (19)th term of the AP \(z,z+5,z+10,\ldots\) is (112), what is (z)?
#ap variable-first-term nth-term class10
A (18)
B (20)
C (22)
D (24)
Explanation opens after your attempt
Step 1
Concept
From \(112=z+18\times5\), (z=22). Treat the variable first term as (a) and apply the formula.
Step 2
Why this answer is correct
The correct answer is C. (22). From \(112=z+18\times5\), (z=22). Treat the variable first term as (a) and apply the formula.
Step 3
Exam Tip
\(112=z+18\times5\) से (z=22)। चर वाले पहले पद को (a) मानकर सूत्र लगाएं।
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समान्तर श्रेणी \(7,12,17,\ldots\) में (180) से कम अंतिम पद क्या है?
In the AP \(7,12,17,\ldots\), what is the last term less than (180)?
#ap last-term-less-than nth-term class10
A (172)
B (175)
C (177)
D (179)
Explanation opens after your attempt
Step 1
Concept
The terms are (7+5(n-1)). The last term less than (180) is (177) because the next term will be (182).
Step 2
Why this answer is correct
The correct answer is C. (177). The terms are (7+5(n-1)). The last term less than (180) is (177) because the next term will be (182).
Step 3
Exam Tip
पद (7+5(n-1)) हैं। (180) से कम अंतिम पद (177) है क्योंकि अगला पद (182) होगा।
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एक AP में (a=63) और (d=-4) है। कौन-सा पद (-1) होगा?
In an AP (a=63) and (d=-4). Which term will be (-1)?
#ap negative-term term-number class10
A (15)वां / (15)th
B (16)वां / (16)th
C (17)वां / (17)th
D (18)वां / (18)th
Explanation opens after your attempt
Correct Answer
C. (17)वां / (17)th
Step 1
Concept
From (-1=63+(n-1)(-4)), (64=4(n-1)) so (n=17). Handle signs carefully with a negative target term.
Step 2
Why this answer is correct
The correct answer is C. (17)वां / (17)th. From (-1=63+(n-1)(-4)), (64=4(n-1)) so (n=17). Handle signs carefully with a negative target term.
Step 3
Exam Tip
(-1=63+(n-1)(-4)) से (64=4(n-1)) इसलिए (n=17)। ऋणात्मक लक्ष्य पद में चिन्हों को ध्यान से संभालें।
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समान्तर श्रेणी \(105,98,91,\ldots\) का प्रथम ऋणात्मक पद कौन-सा है?
Which is the first negative term of the AP \(105,98,91,\ldots\)?
#ap first-negative-term nth-term class10
A (15)वां / (15)th
B (16)वां / (16)th
C (17)वां / (17)th
D (18)वां / (18)th
Explanation opens after your attempt
Correct Answer
C. (17)वां / (17)th
Step 1
Concept
(a_n=105+(n-1)(-7)=112-7n). From \(a_n<0\), (n>16) so the first negative term is the (17)th.
Step 2
Why this answer is correct
The correct answer is C. (17)वां / (17)th. (a_n=105+(n-1)(-7)=112-7n). From \(a_n<0\), (n>16) so the first negative term is the (17)th.
Step 3
Exam Tip
(a_n=105+(n-1)(-7)=112-7n)। \(a_n<0\) से (n>16) इसलिए पहला ऋणात्मक पद (17)वां है।
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समान्तर श्रेणी \(26,35,44,\ldots\) का कौन-सा पद (206) है?
Which term of the AP \(26,35,44,\ldots\) is (206)?
#ap term-number nth-term class10
A (19)वां / (19)th
B (20)वां / (20)th
C (21)वां / (21)st
D (22)वां / (22)nd
Explanation opens after your attempt
Correct Answer
C. (21)वां / (21)st
Step 1
Concept
From (206=26+(n-1)9), (180=9(n-1)) so (n=21). Divide the difference between the term and first term by (d).
Step 2
Why this answer is correct
The correct answer is C. (21)वां / (21)st. From (206=26+(n-1)9), (180=9(n-1)) so (n=21). Divide the difference between the term and first term by (d).
Step 3
Exam Tip
(206=26+(n-1)9) से (180=9(n-1)) इसलिए (n=21)। पद और पहले पद का अंतर (d) से भाग दें।
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किसी समान्तर श्रेणी का (14)वां पद (92) और (d=7) है। \(a_1\) क्या होगा?
The (14)th term of an AP is (92) and (d=7). What is \(a_1\)?
#ap first-term known-term class10
A (1)
B (3)
C (5)
D (7)
Explanation opens after your attempt
Step 1
Concept
From \(92=a+13\times7\), (a=1). From the (14)th term to the first term (13d) is subtracted.
Step 2
Why this answer is correct
The correct answer is A. (1). From \(92=a+13\times7\), (a=1). From the (14)th term to the first term (13d) is subtracted.
Step 3
Exam Tip
\(92=a+13\times7\) से (a=1)। (14)वें पद से पहले पद तक (13d) घटता है।
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समान्तर श्रेणी \(9,17,25,\ldots\) का कौन-सा पद (201) है?
Which term of the AP \(9,17,25,\ldots\) is (201)?
#ap term-position nth-term class10
A (23)वां / (23)rd
B (24)वां / (24)th
C (25)वां / (25)th
D (26)वां / (26)th
Explanation opens after your attempt
Correct Answer
C. (25)वां / (25)th
Step 1
Concept
From (201=9+(n-1)8), (192=8(n-1)) and (n=25). If the term number is an integer the answer is on the right track.
Step 2
Why this answer is correct
The correct answer is C. (25)वां / (25)th. From (201=9+(n-1)8), (192=8(n-1)) and (n=25). If the term number is an integer the answer is on the right track.
Step 3
Exam Tip
(201=9+(n-1)8) से (192=8(n-1)) और (n=25)। पद संख्या पूर्णांक आए तो उत्तर सही दिशा में है।
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(500) से कम (11) के धनात्मक गुणजों में अंतिम पद क्या है?
What is the last term among the positive multiples of (11) less than (500)?
#ap
#multiples
#last-term
#nth-term
A (484)
B (495)
C (506)
D (517)
Explanation opens after your attempt
Step 1
Concept
In (11n<500), the greatest (n=45), so the term is \(11\times45=495\). Take the greatest integer below the limit.
Step 2
Why this answer is correct
The correct answer is B. (495). In (11n<500), the greatest (n=45), so the term is \(11\times45=495\). Take the greatest integer below the limit.
Step 3
Exam Tip
(11n<500) में सबसे बड़ा (n=45) है इसलिए पद \(11\times45=495\)। सीमा से कम सबसे बड़ा पूर्णांक लें।
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समान्तर श्रेणी \(55,51,47,\ldots\) का (n)वां पद (-17) है। (n) क्या है?
The (n)th term of the AP \(55,51,47,\ldots\) is (-17). What is (n)?
#ap
#negative-term
#term-number
#class10
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Step 1
Concept
From (-17=55+(n-1)(-4)), (72=4(n-1)) so (n=19). Keep signs correct while reaching a negative term.
Step 2
Why this answer is correct
The correct answer is C. (19). From (-17=55+(n-1)(-4)), (72=4(n-1)) so (n=19). Keep signs correct while reaching a negative term.
Step 3
Exam Tip
(-17=55+(n-1)(-4)) से (72=4(n-1)) इसलिए (n=19)। ऋणात्मक पद तक जाते समय चिन्ह सही रखें।
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समान्तर श्रेणी \(2,6,10,\ldots\) में (75) से कम अंतिम पद क्या है?
In the AP \(2,6,10,\ldots\), what is the last term less than (75)?
#ap
#last-term-less-than
#nth-term
#class10
A (74)
B (70)
C (72)
D (76)
Explanation opens after your attempt
Step 1
Concept
The terms of this sequence are (2+4(n-1)). The last term less than (75) is (74).
Step 2
Why this answer is correct
The correct answer is A. (74). The terms of this sequence are (2+4(n-1)). The last term less than (75) is (74).
Step 3
Exam Tip
इस श्रेणी के पद (2+4(n-1)) हैं। (75) से कम अंतिम पद (74) है।
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एक समान्तर श्रेणी में (a=48) और (d=-3) है। कौन-सा पद (0) होगा?
In an AP, (a=48) and (d=-3). Which term will be (0)?
#ap
#zero-term
#term-number
#class10
A (15)वां / (15)th
B (16)वां / (16)th
C (17)वां / (17)th
D (18)वां / (18)th
Explanation opens after your attempt
Correct Answer
C. (17)वां / (17)th
Step 1
Concept
From (0=48+(n-1)(-3)), (3(n-1)=48) so (n=17). Use the usual formula even for the zero term.
Step 2
Why this answer is correct
The correct answer is C. (17)वां / (17)th. From (0=48+(n-1)(-3)), (3(n-1)=48) so (n=17). Use the usual formula even for the zero term.
Step 3
Exam Tip
(0=48+(n-1)(-3)) से (3(n-1)=48) इसलिए (n=17)। शून्य पद के लिए भी सामान्य सूत्र लगाएं।
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समान्तर श्रेणी \(72,66,60,\ldots\) का प्रथम ऋणात्मक पद कौन-सा है?
Which is the first negative term of the AP \(72,66,60,\ldots\)?
#ap
#first-negative-term
#nth-term
#class10
A (13)वां / (13)th
B (14)वां / (14)th
C (15)वां / (15)th
D (16)वां / (16)th
Explanation opens after your attempt
Correct Answer
B. (14)वां / (14)th
Step 1
Concept
(a_n=72+(n-1)(-6)=78-6n). From \(a_n<0\), (n>13) so the first negative term is the (14)th.
Step 2
Why this answer is correct
The correct answer is B. (14)वां / (14)th. (a_n=72+(n-1)(-6)=78-6n). From \(a_n<0\), (n>13) so the first negative term is the (14)th.
Step 3
Exam Tip
(a_n=72+(n-1)(-6)=78-6n)। \(a_n<0\) से (n>13) इसलिए पहला ऋणात्मक पद (14)वां है।
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समान्तर श्रेणी \(14,23,32,\ldots\) का कौन-सा पद (185) है?
Which term of the AP \(14,23,32,\ldots\) is (185)?
#ap
#term-number
#nth-term
#class10
A (18)वां / (18)th
B (19)वां / (19)th
C (20)वां / (20)th
D (21)वां / (21)th
Explanation opens after your attempt
Correct Answer
C. (20)वां / (20)th
Step 1
Concept
From (185=14+(n-1)9), (171=9(n-1)) and (n=20). Divide the difference by (d) to get the term number.
Step 2
Why this answer is correct
The correct answer is C. (20)वां / (20)th. From (185=14+(n-1)9), (171=9(n-1)) and (n=20). Divide the difference by (d) to get the term number.
Step 3
Exam Tip
(185=14+(n-1)9) से (171=9(n-1)) और (n=20)। अंतर को (d) से भाग देकर पद संख्या पाएं।
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किसी समान्तर श्रेणी का (10)वां पद (62) और (d=5) है। \(a_1\) क्या होगा?
The (10)th term of an AP is (62) and (d=5). What is \(a_1\)?
#ap
#first-term
#known-term
#class10
A (12)
B (15)
C (20)
D (17)
Explanation opens after your attempt
Step 1
Concept
From \(62=a+9\times5\), (a=17). From the (10)th term to the first term, subtract (9d).
Step 2
Why this answer is correct
The correct answer is D. (17). From \(62=a+9\times5\), (a=17). From the (10)th term to the first term, subtract (9d).
Step 3
Exam Tip
\(62=a+9\times5\) से (a=17)। (10)वें पद से पहले पद तक (9d) घटता है।
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समान्तर श्रेणी \(21,29,37,\ldots\) का कौन-सा पद (149) है?
Which term of the AP \(21,29,37,\ldots\) is (149)?
#ap
#term-position
#nth-term
#class10
A (15)वां / (15)th
B (16)वां / (16)th
C (17)वां / (17)th
D (18)वां / (18)th
Explanation opens after your attempt
Correct Answer
C. (17)वां / (17)th
Step 1
Concept
From (149=21+(n-1)8), (128=8(n-1)) so (n=17). When term number is asked, treat the given term as \(a_n\).
Step 2
Why this answer is correct
The correct answer is C. (17)वां / (17)th. From (149=21+(n-1)8), (128=8(n-1)) so (n=17). When term number is asked, treat the given term as \(a_n\).
Step 3
Exam Tip
(149=21+(n-1)8) से (128=8(n-1)) इसलिए (n=17)। पद संख्या पूछी हो तो दिए पद को \(a_n\) मानें।
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समान्तर श्रेणी \(27,24,21,\ldots\) का (n)वां पद (-30) है। (n) क्या है?
The (n)th term of the AP \(27,24,21,\ldots\) is (-30). What is (n)?
#ap
#negative-term
#term-number
#class10
A (18)
B (19)
C (20)
D (21)
Explanation opens after your attempt
Step 1
Concept
From (-30=27+(n-1)(-3)), (57=3(n-1)), so (n=20). Handle signs carefully with a negative target term.
Step 2
Why this answer is correct
The correct answer is C. (20). From (-30=27+(n-1)(-3)), (57=3(n-1)), so (n=20). Handle signs carefully with a negative target term.
Step 3
Exam Tip
(-30=27+(n-1)(-3)) से (57=3(n-1)), इसलिए (n=20)। ऋणात्मक लक्ष्य पद में चिन्ह सावधानी से बदलें।
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एक समान्तर श्रेणी में (a=30) और (d=-2) है। कौन-सा पद (0) होगा?
In an AP, (a=30) and (d=-2). Which term will be (0)?
#ap
#zero-term
#nth-term
#class10
A (14)वां / (14)th
B (15)वां / (15)th
C (16)वां / (16)th
D (17)वां / (17)th
Explanation opens after your attempt
Correct Answer
C. (16)वां / (16)th
Step 1
Concept
From (0=30+(n-1)(-2)), (2(n-1)=30), so (n=16). Use the same nth-term formula even for the zero term.
Step 2
Why this answer is correct
The correct answer is C. (16)वां / (16)th. From (0=30+(n-1)(-2)), (2(n-1)=30), so (n=16). Use the same nth-term formula even for the zero term.
Step 3
Exam Tip
(0=30+(n-1)(-2)) से (2(n-1)=30), अतः (n=16)। शून्य पद के लिए भी वही (n)वां पद सूत्र लगाएं।
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समान्तर श्रेणी \(45,40,35,\ldots\) का प्रथम ऋणात्मक पद कौन-सा है?
Which is the first negative term of the AP \(45,40,35,\ldots\)?
#ap
#first-negative-term
#nth-term
#class10
A (10)वां / (10)th
B (11)वां / (11)th
C (12)वां / (12)th
D (13)वां / (13)th
Explanation opens after your attempt
Correct Answer
B. (11)वां / (11)th
Step 1
Concept
(a_n=45+(n-1)(-5)=50-5n). From \(a_n<0\), (n>10), so the first negative term is the (11)th.
Step 2
Why this answer is correct
The correct answer is B. (11)वां / (11)th. (a_n=45+(n-1)(-5)=50-5n). From \(a_n<0\), (n>10), so the first negative term is the (11)th.
Step 3
Exam Tip
(a_n=45+(n-1)(-5)=50-5n)। \(a_n<0\) से (n>10), इसलिए पहला ऋणात्मक पद (11)वां है।
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समान्तर श्रेणी \(15,21,27,\ldots\) का कौन-सा पद (111) है?
Which term of the AP \(15,21,27,\ldots\) is (111)?
#ap
#term-number
#nth-term
#class10
A (15)वां / (15)th
B (16)वां / (16)th
C (17)वां / (17)th
D (18)वां / (18)th
Explanation opens after your attempt
Correct Answer
C. (17)वां / (17)th
Step 1
Concept
(111=15+(n-1)6), so (96=6(n-1)) and (n=17). For term number, divide the difference by (d).
Step 2
Why this answer is correct
The correct answer is C. (17)वां / (17)th. (111=15+(n-1)6), so (96=6(n-1)) and (n=17). For term number, divide the difference by (d).
Step 3
Exam Tip
(111=15+(n-1)6), इसलिए (96=6(n-1)) और (n=17)। पद संख्या में अंतर को (d) से भाग दें।
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किसी समान्तर श्रेणी का (8)वां पद (35) और (d=4) है। \(a_1\) क्या होगा?
The (8)th term of an AP is (35) and (d=4). What is \(a_1\)?
#ap
#first-term
#nth-term
#class10
A (11)
B (9)
C (7)
D (13)
Explanation opens after your attempt
Step 1
Concept
\(35=a+7\times4\), so (a=7). For the (8)th term, subtract (7d).
Step 2
Why this answer is correct
The correct answer is C. (7). \(35=a+7\times4\), so (a=7). For the (8)th term, subtract (7d).
Step 3
Exam Tip
\(35=a+7\times4\), इसलिए (a=7)। (8)वें पद के लिए (7d) घटाएं।
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समान्तर श्रेणी \(3,8,13,\ldots\) का कौन-सा पद (88) है?
Which term of the AP \(3,8,13,\ldots\) is (88)?
#ap
#term-position
#nth-term
#class10
A (18)वां / (18)th
B (17)वां / (17)th
C (16)वां / (16)th
D (19)वां / (19)th
Explanation opens after your attempt
Correct Answer
A. (18)वां / (18)th
Step 1
Concept
From (88=3+(n-1)5), (85=5(n-1)), hence (n=18). In term-number questions, treat the given term as \(a_n\).
Step 2
Why this answer is correct
The correct answer is A. (18)वां / (18)th. From (88=3+(n-1)5), (85=5(n-1)), hence (n=18). In term-number questions, treat the given term as \(a_n\).
Step 3
Exam Tip
(88=3+(n-1)5) से (85=5(n-1)), अतः (n=18)। पद संख्या के प्रश्न में दिए पद को \(a_n\) मानें।
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समांतर श्रेढ़ी \(200,180,160,140,\ldots\) का (11)वाँ पद क्या है?
What is the (11)th term of the AP \(200,180,160,140,\ldots\)?
#ap decreasing
#nth term
#zero term
A (20)
B (40)
C (10)
D (0)
Explanation opens after your attempt
Step 1
Concept
Here (d=-20), so (a_{11}=200+10(-20)=0). In a decreasing AP, a term can also become zero.
Step 2
Why this answer is correct
The correct answer is D. (0). Here (d=-20), so (a_{11}=200+10(-20)=0). In a decreasing AP, a term can also become zero.
Step 3
Exam Tip
यहाँ (d=-20) है, इसलिए (a_{11}=200+10(-20)=0)। घटती श्रेढ़ी में पद शून्य भी हो सकता है।
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यदि \(a_n=4n+6\) है, तो (25)वाँ पद क्या होगा?
If \(a_n=4n+6\), what will be the (25)th term?
#ap general term
#nth term
#easy
A (106)
B (100)
C (104)
D (110)
Explanation opens after your attempt
Step 1
Concept
\(a_{25}=4\times25+6=106\). Put (n=25) in the given general term.
Step 2
Why this answer is correct
The correct answer is A. (106). \(a_{25}=4\times25+6=106\). Put (n=25) in the given general term.
Step 3
Exam Tip
\(a_{25}=4\times25+6=106\)। दिए गए सामान्य पद में (n=25) रखें।
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यदि (a=0) और (d=4) है, तो समांतर श्रेढ़ी का (26)वाँ पद क्या है?
If (a=0) and (d=4), what is the (26)th term of the AP?
#ap
#nth term
#zero first term
A (104)
B (96)
C (108)
D (100)
Explanation opens after your attempt
Step 1
Concept
\(a_{26}=0+25\times4=100\). Even with zero first term, (n-1) differences are added.
Step 2
Why this answer is correct
The correct answer is D. (100). \(a_{26}=0+25\times4=100\). Even with zero first term, (n-1) differences are added.
Step 3
Exam Tip
\(a_{26}=0+25\times4=100\)। शून्य प्रथम पद होने पर भी (n-1) अंतर जुड़ते हैं।
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एक समांतर श्रेढ़ी में \(a_1=13\) और (d=8) है। (10)वाँ पद क्या है?
In an AP, \(a_1=13\) and (d=8). What is the (10)th term?
#ap
#nth term
#first term
A (85)
B (93)
C (80)
D (77)
Explanation opens after your attempt
Step 1
Concept
\(a_{10}=13+9\times8=85\). \(a_1\) is the first term (a).
Step 2
Why this answer is correct
The correct answer is A. (85). \(a_{10}=13+9\times8=85\). \(a_1\) is the first term (a).
Step 3
Exam Tip
\(a_{10}=13+9\times8=85\)। \(a_1\) ही प्रथम पद (a) होता है।
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यदि \(a_n=30-3n\) है, तो (6)वाँ पद क्या होगा?
If \(a_n=30-3n\), what will be the (6)th term?
#ap nth term
#general term
#decreasing
A (18)
B (9)
C (15)
D (12)
Explanation opens after your attempt
Step 1
Concept
\(a_6=30-3\times6=12\). Be careful with subtraction in a decreasing general term.
Step 2
Why this answer is correct
The correct answer is D. (12). \(a_6=30-3\times6=12\). Be careful with subtraction in a decreasing general term.
Step 3
Exam Tip
\(a_6=30-3\times6=12\)। घटते हुए सामान्य पद में घटाव सावधानी से करें।
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यदि \(a_n=5n-1\) हो, तो इस समांतर श्रेढ़ी का (20)वाँ पद क्या है?
If \(a_n=5n-1\), what is the (20)th term of this AP?
#ap nth term
#general term
#easy
A (101)
B (99)
C (95)
D (104)
Explanation opens after your attempt
Step 1
Concept
\(a_{20}=5\times20-1=99\). When \(a_n\) is given, put the value of (n) in it.
Step 2
Why this answer is correct
The correct answer is B. (99). \(a_{20}=5\times20-1=99\). When \(a_n\) is given, put the value of (n) in it.
Step 3
Exam Tip
\(a_{20}=5\times20-1=99\)। जब \(a_n\) दिया हो, तो सूत्र में (n) का मान रखें।
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समांतर श्रेढ़ी \(-10,-6,-2,2,\ldots\) का (18)वाँ पद कौन सा है?
Which is the (18)th term of the AP \(-10,-6,-2,2,\ldots\)?
#ap
#nth term
#negative first term
A (54)
B (62)
C (58)
D (68)
Explanation opens after your attempt
Step 1
Concept
Here (a=-10), (d=4), so \(a_{18}=-10+17\times4=58\). The formula remains the same even when terms move from negative to positive.
Step 2
Why this answer is correct
The correct answer is C. (58). Here (a=-10), (d=4), so \(a_{18}=-10+17\times4=58\). The formula remains the same even when terms move from negative to positive.
Step 3
Exam Tip
यहाँ (a=-10), (d=4) है, इसलिए \(a_{18}=-10+17\times4=58\)। ऋणात्मक से धनात्मक जाने पर भी सूत्र समान रहता है।
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यदि (p(x)=x-2 +ax+4) का स्थिर पद (4) है, तो स्थिर पद कौन-सा है?
If the constant term of (p(x)=x-2 +ax+4) is (4), which term is the constant term?
#constant_term
#parameter
#polynomials
A \(x^2\)
B (ax)
C (4)
D (a)
Explanation opens after your attempt
Step 1
Concept
The constant term does not contain (x). So (4) is the constant term.
Step 2
Why this answer is correct
The correct answer is C. (4). The constant term does not contain (x). So (4) is the constant term.
Step 3
Exam Tip
स्थिर पद में (x) नहीं होता। इसलिए (4) स्थिर पद है।
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हा लॉन्ग बे का प्राकृतिक मूल्य किस भू आकृतिक विशेषता से जुड़ा है?
Ha Long Bay's natural value is linked with which geomorphic feature?
#ha-long-bay
#vietnam
#karst
A मैंग्रोव डेल्टा / Mangrove delta
B हिमानी फ्योर्ड / Glacial fjord
C रेगिस्तानी बालू / Desert sand
D चूना पत्थर कार्स्ट द्वीप / Limestone karst islands
Explanation opens after your attempt
Correct Answer
D. चूना पत्थर कार्स्ट द्वीप / Limestone karst islands
Step 1
Concept
Ha Long Bay is famous for limestone karst islands of Vietnam. For exams remember karst landscape.
Step 2
Why this answer is correct
The correct answer is D. चूना पत्थर कार्स्ट द्वीप / Limestone karst islands. Ha Long Bay is famous for limestone karst islands of Vietnam. For exams remember karst landscape.
Step 3
Exam Tip
हा लॉन्ग बे वियतनाम के चूना पत्थर कार्स्ट द्वीपों के लिए प्रसिद्ध है। परीक्षा में कार्स्ट परिदृश्य याद रखें।
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यदि समान्तर श्रेणी \(w-15,w-4,w+7,\ldots\) का (37)वां पद (677) है, तो (w) का मान क्या होगा?
If the (37)th term of the AP \(w-15,w-4,w+7,\ldots\) is (677), what is the value of (w)?
#ap expert variable
A (296)
B (300)
C (304)
D (308)
Explanation opens after your attempt
Step 1
Concept
Here (d=11). \(677=w-15+36\times11=w+381\), so (w=296).
Step 2
Why this answer is correct
The correct answer is A. (296). Here (d=11). \(677=w-15+36\times11=w+381\), so (w=296).
Step 3
Exam Tip
यहां (d=11)। \(677=w-15+36\times11=w+381\), इसलिए (w=296)।
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यदि समान्तर श्रेणी \(v-12,v-3,v+6,\ldots\) का (31)वां पद (438) है, तो (v) का मान क्या होगा?
If the (31)st term of the AP \(v-12,v-3,v+6,\ldots\) is (438), what is the value of (v)?
#ap expert variable
A (176)
B (180)
C (184)
D (188)
Explanation opens after your attempt
Step 1
Concept
Here (d=9). \(438=v-12+30\times9=v+258\), so (v=180).
Step 2
Why this answer is correct
The correct answer is B. (180). Here (d=9). \(438=v-12+30\times9=v+258\), so (v=180).
Step 3
Exam Tip
यहां (d=9)। \(438=v-12+30\times9=v+258\), इसलिए (v=180)।
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यदि समान्तर श्रेणी \(u-9,u-1,u+7,\ldots\) का (29)वां पद (295) है, तो (u) का मान क्या होगा?
If the (29)th term of the AP \(u-9,u-1,u+7,\ldots\) is (295), what is the value of (u)?
#ap-variable-expert
A (70)
B (74)
C (78)
D (80)
Explanation opens after your attempt
Step 1
Concept
Here (d=8). \(295=u-9+28\times8=u+215\), so (u=80).
Step 2
Why this answer is correct
The correct answer is D. (80). Here (d=8). \(295=u-9+28\times8=u+215\), so (u=80).
Step 3
Exam Tip
यहां (d=8)। \(295=u-9+28\times8=u+215\), इसलिए (u=80)।
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यदि समान्तर श्रेणी \(t-8,t-1,t+6,\ldots\) का (25)वां पद (230) है तो (t) का मान क्या होगा?
If the (25)th term of the AP \(t-8,t-1,t+6,\ldots\) is (230), what is the value of (t)?
#ap variable hard
A (62)
B (66)
C (70)
D (74)
Explanation opens after your attempt
Step 1
Concept
Here (d=7). \(230=t-8+24\times7=t+160\), so (t=70).
Step 2
Why this answer is correct
The correct answer is C. (70). Here (d=7). \(230=t-8+24\times7=t+160\), so (t=70).
Step 3
Exam Tip
यहां (d=7)। \(230=t-8+24\times7=t+160\) इसलिए (t=70)।
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यदि समान्तर श्रेणी \(c-5,c+1,c+7,\ldots\) का (21)वां पद (139) है तो (c) का मान क्या होगा?
If the (21)st term of the AP \(c-5,c+1,c+7,\ldots\) is (139), what is the value of (c)?
#ap-variable-hard
A (22)
B (24)
C (26)
D (28)
Explanation opens after your attempt
Step 1
Concept
Here (d=6). \(139=c-5+20\times6=c+115\), so (c=24).
Step 2
Why this answer is correct
The correct answer is B. (24). Here (d=6). \(139=c-5+20\times6=c+115\), so (c=24).
Step 3
Exam Tip
यहां (d=6)। \(139=c-5+20\times6=c+115\) इसलिए (c=24)।
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यदि समान्तर श्रेणी \(b-3,b+2,b+7,\ldots\) का (18)वां पद (94) है तो (b) का मान क्या होगा?
If the (18)th term of the AP \(b-3,b+2,b+7,\ldots\) is (94), what is the value of (b)?
#ap-variable-hard
A (9)
B (10)
C (11)
D (12)
Explanation opens after your attempt
Step 1
Concept
Here (d=5). \(94=b-3+17\times5=b+82\), so (b=12).
Step 2
Why this answer is correct
The correct answer is D. (12). Here (d=5). \(94=b-3+17\times5=b+82\), so (b=12).
Step 3
Exam Tip
यहां (d=5)। \(94=b-3+17\times5=b+82\) इसलिए (b=12)।
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समान्तर श्रेणी \(18,27,36,\ldots\) में \(a_n=189\) है। (n) का मान ज्ञात कीजिए।
In the AP \(18,27,36,\ldots\), \(a_n=189\). Find the value of (n).
#ap term-number nth-term class10
A (19)
B (20)
C (21)
D (22)
Explanation opens after your attempt
Step 1
Concept
From (189=18+(n-1)9), (171=9(n-1)) so (n=20). For term number subtract the first term and divide by (d).
Step 2
Why this answer is correct
The correct answer is B. (20). From (189=18+(n-1)9), (171=9(n-1)) so (n=20). For term number subtract the first term and divide by (d).
Step 3
Exam Tip
(189=18+(n-1)9) से (171=9(n-1)) इसलिए (n=20)। पद संख्या के लिए पहले पद को घटाकर (d) से भाग दें।
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यदि \(a_5=24\) और (d=8) है तो \(a_{19}\) का मान क्या होगा?
If \(a_5=24\) and (d=8), what is the value of \(a_{19}\)?
#ap known-term nth-term class10
A (128)
B (136)
C (140)
D (144)
Explanation opens after your attempt
Step 1
Concept
(a_{19}=a_5+(19-5)d=24+14\times8=136). Add the position gap directly from the known term.
Step 2
Why this answer is correct
The correct answer is B. (136). (a_{19}=a_5+(19-5)d=24+14\times8=136). Add the position gap directly from the known term.
Step 3
Exam Tip
(a_{19}=a_5+(19-5)d=24+14\times8=136)। ज्ञात पद से सीधे स्थान अंतर जोड़ें।
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यदि किसी समान्तर श्रेणी में (a=17), (d=9) और \(a_n=170\) है तो (n) का मान क्या है?
If in an AP (a=17), (d=9), and \(a_n=170\), what is the value of (n)?
#ap term-number nth-term class10
A (16)
B (17)
C (18)
D (19)
Explanation opens after your attempt
Step 1
Concept
From (170=17+(n-1)9), (153=9(n-1)) so (n=18). Add (1) at the end while finding the term number.
Step 2
Why this answer is correct
The correct answer is C. (18). From (170=17+(n-1)9), (153=9(n-1)) so (n=18). Add (1) at the end while finding the term number.
Step 3
Exam Tip
(170=17+(n-1)9) से (153=9(n-1)) इसलिए (n=18)। पद संख्या निकालते समय अंत में (1) जोड़ें।
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समान्तर श्रेणी \(17,24,31,\ldots\) में \(a_n=136\) है। (n) का मान ज्ञात कीजिए।
In the AP \(17,24,31,\ldots\), \(a_n=136\). Find the value of (n).
#ap
#term-number
#nth-term
#class10
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Step 1
Concept
From (136=17+(n-1)7), (119=7(n-1)) so (n=18). The term number should be an integer.
Step 2
Why this answer is correct
The correct answer is B. (18). From (136=17+(n-1)7), (119=7(n-1)) so (n=18). The term number should be an integer.
Step 3
Exam Tip
(136=17+(n-1)7) से (119=7(n-1)) इसलिए (n=18)। पद संख्या पूर्णांक आनी चाहिए।
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यदि (a=13), (d=6) और \(a_n=121\) है तो (n) का मान क्या है?
If (a=13), (d=6), and \(a_n=121\), what is the value of (n)?
#ap
#term-number
#nth-term
#class10
A (17)
B (18)
C (19)
D (20)
Explanation opens after your attempt
Step 1
Concept
From (121=13+(n-1)6), (108=6(n-1)) so (n=19). After finding (n-1), add (1).
Step 2
Why this answer is correct
The correct answer is C. (19). From (121=13+(n-1)6), (108=6(n-1)) so (n=19). After finding (n-1), add (1).
Step 3
Exam Tip
(121=13+(n-1)6) से (108=6(n-1)) इसलिए (n=19)। (n-1) मिलने के बाद (1) जरूर जोड़ें।
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समान्तर श्रेणी \(8,14,20,\ldots\) में \(a_n=74\) है। (n) का मान ज्ञात कीजिए।
In the AP \(8,14,20,\ldots\), \(a_n=74\). Find the value of (n).
#ap
#term-number
#nth-term
#class10
A (11)
B (12)
C (13)
D (14)
Explanation opens after your attempt
Step 1
Concept
From (74=8+(n-1)6), (66=6(n-1)), so (n=12). The term number must always be an integer.
Step 2
Why this answer is correct
The correct answer is B. (12). From (74=8+(n-1)6), (66=6(n-1)), so (n=12). The term number must always be an integer.
Step 3
Exam Tip
(74=8+(n-1)6) से (66=6(n-1)), इसलिए (n=12)। उत्तर में पद संख्या हमेशा पूर्णांक होनी चाहिए।
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यदि समान्तर श्रेणी का (n)वां पद \(a_n=9n+2\) है, तो \(a_{11}-a_5\) का मान क्या होगा?
If the (n)th term of an AP is \(a_n=9n+2\), what is the value of \(a_{11}-a_5\)?
#ap
#direct-formula
#difference-of-terms
#class10
A (45)
B (54)
C (63)
D (72)
Explanation opens after your attempt
Step 1
Concept
(a_{11}-a_5=(101)-(47)=54), or \(6d=6\times9=54\). Use the difference of positions for term differences.
Step 2
Why this answer is correct
The correct answer is B. (54). (a_{11}-a_5=(101)-(47)=54), or \(6d=6\times9=54\). Use the difference of positions for term differences.
Step 3
Exam Tip
(a_{11}-a_5=(101)-(47)=54), या \(6d=6\times9=54\)। पदों के अंतर में स्थानों का अंतर उपयोग करें।
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किसी समान्तर श्रेणी में (a=5), (d=7) और \(a_n=103\) है। (n) का मान क्या है?
In an AP, (a=5), (d=7), and \(a_n=103\). What is the value of (n)?
#ap
#term-number
#nth-term
#class10
A (13)
B (14)
C (15)
D (16)
Explanation opens after your attempt
Step 1
Concept
From (103=5+(n-1)7), (98=7(n-1)), so (n=15). When finding the term number, remember to add (1) at the end.
Step 2
Why this answer is correct
The correct answer is C. (15). From (103=5+(n-1)7), (98=7(n-1)), so (n=15). When finding the term number, remember to add (1) at the end.
Step 3
Exam Tip
(103=5+(n-1)7) से (98=7(n-1)), अतः (n=15)। पद संख्या निकालते समय अंत में (1) जोड़ना न भूलें।
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अरावली की कम ऊंचाई और अधिक कटाव किस दीर्घकालिक प्रक्रिया का संकेत है?
The low height and heavy erosion of Aravalli indicate which long-term process?
#indian geography
#aravalli
#erosion
#ancient mountains
A नई पर्वत निर्माण क्रिया / Recent mountain building
B समुद्री प्रवाल जमाव / Marine coral deposition
C हिमनदी जमाव / Glacial deposition
D दीर्घकालीन अपक्षय और अपरदन / Long-term weathering and erosion
Explanation opens after your attempt
Correct Answer
D. दीर्घकालीन अपक्षय और अपरदन / Long-term weathering and erosion
Step 1
Concept
Aravalli is a very ancient mountain range and has been eroded for a long time. For exams, identify old ranges by low height and erosion.
Step 2
Why this answer is correct
The correct answer is D. दीर्घकालीन अपक्षय और अपरदन / Long-term weathering and erosion. Aravalli is a very ancient mountain range and has been eroded for a long time. For exams, identify old ranges by low height and erosion.
Step 3
Exam Tip
अरावली अत्यंत प्राचीन पर्वत श्रृंखला है और लंबे समय तक अपरदित हुई है। परीक्षा में पुरानी पर्वत श्रृंखला को कम ऊंचाई और कटाव से पहचानें।
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