Search: easy-targets

Question Expert General Knowledge World History World Wars Class 10 Level 51

ब्रिटेन की लड़ाई में जर्मन लक्ष्य परिवर्तन का दीर्घकालीन प्रभाव क्या था?

What was the long-term effect of Germany changing targets in the Battle of Britain?

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Correct Answer

A. ब्रिटिश लड़ाकू कमान को पुनर्गठन का समय मिलाBritish Fighter Command got time to reorganize

Step 1

Concept

Shifting focus from airfields to cities gave relief to British defense. For exams understand the importance of target selection.

Step 2

Why this answer is correct

The correct answer is A. ब्रिटिश लड़ाकू कमान को पुनर्गठन का समय मिला / British Fighter Command got time to reorganize. Shifting focus from airfields to cities gave relief to British defense. For exams understand the importance of target selection.

Step 3

Exam Tip

वायु अड्डों से शहरों पर ध्यान हटना ब्रिटिश रक्षा के लिए राहत बना। परीक्षा में लक्ष्य चयन का महत्व समझें।

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Question Hard General Knowledge World History World Wars Class 10 Level 51

ब्रिटेन की लड़ाई में जर्मन लक्ष्य बदलना क्यों समस्या बना?

Why did changes in German targets become a problem in the Battle of Britain?

Explanation opens after your attempt

Correct Answer

A. वायु अड्डों से शहरों पर ध्यान हटने से ब्रिटिश वायु रक्षा को राहत मिलीShifting focus from airfields to cities gave British air defense relief

Step 1

Concept

Changing targets gave British fighter capacity time to recover. For exams understand the importance of strategic targets.

Step 2

Why this answer is correct

The correct answer is A. वायु अड्डों से शहरों पर ध्यान हटने से ब्रिटिश वायु रक्षा को राहत मिली / Shifting focus from airfields to cities gave British air defense relief. Changing targets gave British fighter capacity time to recover. For exams understand the importance of strategic targets.

Step 3

Exam Tip

लक्ष्य बदलने से ब्रिटिश लड़ाकू क्षमता को पुनर्गठित होने का समय मिला। परीक्षा में रणनीतिक लक्ष्य के महत्व को समझें।

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Question Easy Art Education Fundamentals of Visual Arts Line Class 10 Level 9

किस रेखा से वृक्ष की ऊंचाई दिखाना आसान है?

Which line makes it easy to show height of a tree?

Explanation opens after your attempt

Correct Answer

A. ऊर्ध्व रेखाVertical line

Step 1

Concept

Tree trunk grows vertically. Exam tip: observe vertical line for tall object.

Step 2

Why this answer is correct

The correct answer is A. ऊर्ध्व रेखा / Vertical line. Tree trunk grows vertically. Exam tip: observe vertical line for tall object.

Step 3

Exam Tip

वृक्ष का तना ऊर्ध्व दिशा में बढ़ता है। परीक्षा में tall object के लिए vertical line देखें।

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

किस स्थिति में आकृति और पृष्ठभूमि अलग पहचानना आसान होता है?

In which situation is it easy to identify figure and background separately?

Explanation opens after your attempt

Correct Answer

D. जब अच्छा विरोध होWhen there is good contrast

Step 1

Concept

Good contrast separates figure and background. Exam tip: remember contrast in figure-ground relation.

Step 2

Why this answer is correct

The correct answer is D. जब अच्छा विरोध हो / When there is good contrast. Good contrast separates figure and background. Exam tip: remember contrast in figure-ground relation.

Step 3

Exam Tip

अच्छा विरोध आकृति और पृष्ठभूमि को अलग करता है। परीक्षा में figure ground relation में contrast याद रखें।

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

क्रांति और सुधार में आसान अंतर क्या है?

What is an easy difference between revolution and reform?

Explanation opens after your attempt

Correct Answer

A. क्रांति बड़ा तेज बदलाव होती है सुधार क्रमिक बदलाव हो सकता हैRevolution is a major rapid change while reform can be gradual

Step 1

Concept

A revolution often brings deep change while reform can happen gradually. For exams understand the two terms separately.

Step 2

Why this answer is correct

The correct answer is A. क्रांति बड़ा तेज बदलाव होती है सुधार क्रमिक बदलाव हो सकता है / Revolution is a major rapid change while reform can be gradual. A revolution often brings deep change while reform can happen gradually. For exams understand the two terms separately.

Step 3

Exam Tip

क्रांति प्रायः गहरा बदलाव लाती है जबकि सुधार धीरे धीरे हो सकता है। परीक्षा में दोनों शब्दों को अलग समझें।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 56

यदि (x+y=13) और (x=9), तो (y) का सही मान चुनें।

If (x+y=13) and (x=9), choose the correct value of (y).

Explanation opens after your attempt

Correct Answer

C. (y=4)

Step 1

Concept

(9+y=13), so (y=4). After placing the given value, do simple subtraction.

Step 2

Why this answer is correct

The correct answer is C. (y=4). (9+y=13), so (y=4). After placing the given value, do simple subtraction.

Step 3

Exam Tip

(9+y=13), इसलिए (y=4)। दिए गए मान को रखने के बाद सरल घटाव करें।

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Question Easy Mathematics Pair of Linear Equations in Two Variables Algebraic methods: Substitution method and Elimination method. Class 10 Level 55

समीकरणों (x+2y=14) और (x=4) में (y) कितना है?

In the equations (x+2y=14) and (x=4), what is (y)?

Explanation opens after your attempt

Correct Answer

B. (y=5)

Step 1

Concept

Putting (x=4) gives (4+2y=14), so (y=5). When one variable is given, substitute immediately.

Step 2

Why this answer is correct

The correct answer is B. (y=5). Putting (x=4) gives (4+2y=14), so (y=5). When one variable is given, substitute immediately.

Step 3

Exam Tip

(x=4) रखने पर (4+2y=14), इसलिए (y=5)। जब एक चर दिया हो तो प्रतिस्थापन तुरंत करें।

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Question Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

$x^2+3x+2=0$ को हल करने के लिए सबसे उपयुक्त आसान विधि कौनसी है?

Which easy method is most suitable to solve $x^2+3x+2=0$?

Explanation opens after your attempt

Correct Answer

A. गुणनखंड विधिFactorisation method

Step 1

Concept

It easily factors as ((x+1)(x+2)=0). In exams, factorisation is fast for questions with small coefficients.

Step 2

Why this answer is correct

The correct answer is A. गुणनखंड विधि / Factorisation method. It easily factors as ((x+1)(x+2)=0). In exams, factorisation is fast for questions with small coefficients.

Step 3

Exam Tip

यह ((x+1)(x+2)=0) में आसानी से टूटता है। परीक्षा में छोटे गुणांकों वाले प्रश्नों में गुणनखंड विधि तेज रहती है।

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Question Medium Social Science Chapter 2: Nationalism in India The First World War, Khilafat, and Non-Cooperation Class 10 Level 16

गरीब लोगों के लिए खादी अपनाना हमेशा आसान क्यों नहीं था?

Why was adopting khadi not always easy for poor people?

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Correct Answer

A. क्योंकि खादी कभी कभी मिल के कपड़े से महंगी होती थीBecause khadi was sometimes costlier than mill-made cloth

Step 1

Concept

Khadi was an ideal symbol of swadeshi.

Step 2

Why this answer is correct

But price was very important for poor families.

Step 3

Exam Tip

This shows the gap between movement ideals and economic difficulty. चरण 1: खादी स्वदेशी का आदर्श प्रतीक थी। चरण 2: पर गरीब परिवारों के लिए कीमत बहुत महत्वपूर्ण थी। चरण 3: इससे आंदोलन के आदर्श और आर्थिक कठिनाई के बीच अंतर दिखता है।

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Question Expert Social Science Chapter 2: Nationalism in India The First World War, Khilafat, and Non-Cooperation Class 10 Level 16

खादी गरीब जनता के लिए हमेशा तुरंत सरल विकल्प क्यों नहीं थी?

Why was khadi not always an immediately easy option for poor people?

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Correct Answer

A. क्योंकि वह कई बार मिल के कपड़े से महंगी होती थीBecause it was often costlier than mill-made cloth

Step 1

Concept

Khadi was a symbol of swadeshi.

Step 2

Why this answer is correct

But price mattered a lot for poor people.

Step 3

Exam Tip

Therefore one must understand the gap between movement ideals and economic difficulty. चरण 1: खादी स्वदेशी का प्रतीक थी। चरण 2: पर गरीबों के लिए कीमत महत्वपूर्ण होती है। चरण 3: इसलिए आंदोलन के आदर्श और आर्थिक कठिनाई में अंतर समझना चाहिए।

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Question Easy Social Science The Age of Industrialisation Visualising the Nation Class 10 Level 15

मैरिआन और जर्मानिया में अंतर पहचानने का आसान तरीका क्या है?

What is an easy way to identify the difference between Marianne and Germania?

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Correct Answer

C. मैरिआन फ्रांस से और जर्मानिया जर्मनी से जुड़ी हैMarianne is linked with France and Germania with Germany

Step 1

Concept

Both are female allegories of the nation.

Step 2

Why this answer is correct

Marianne symbolises France and Germania symbolises Germany.

Step 3

Exam Tip

In exams identify them by their countries. चरण 1: दोनों राष्ट्र के महिला रूपक हैं। चरण 2: मैरिआन फ्रांस की और जर्मानिया जर्मनी की प्रतीक है। चरण 3: परीक्षा में देश के आधार पर दोनों को अलग पहचानें।

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Question Easy Science Chemical Substances – Nature and Behaviour Chemical Reactions and Equations Class 10 Level 7

अपचयन की आसान पहचान क्या है?

What is the easy identification of reduction?

Explanation opens after your attempt

Correct Answer

B. ऑक्सीजन का हटनाRemoval of oxygen

Step 1

Concept

Reduction generally involves removal of oxygen.

Step 2

Why this answer is correct

The substance losing oxygen is reduced.

Step 3

Exam Tip

Remember oxidation and reduction as opposite processes. चरण 1: अपचयन में सामान्यतः ऑक्सीजन हटती है। चरण 2: जिस पदार्थ से ऑक्सीजन हटती है वह अपचयित होता है। चरण 3: ऑक्सीकरण और अपचयन को विपरीत रूप में याद रखें।

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Question Easy Science Chemical Substances – Nature and Behaviour Chemical Reactions and Equations Class 10 Level 7

ऑक्सीकरण की आसान पहचान क्या है?

What is the easy identification of oxidation?

Explanation opens after your attempt

Correct Answer

A. ऑक्सीजन का जुड़नाAddition of oxygen

Step 1

Concept

Oxidation generally involves addition of oxygen.

Step 2

Why this answer is correct

The substance gaining oxygen is oxidised.

Step 3

Exam Tip

In easy questions check the direction of oxygen. चरण 1: ऑक्सीकरण में सामान्यतः ऑक्सीजन जुड़ती है। चरण 2: जिस पदार्थ में ऑक्सीजन जुड़ती है वह ऑक्सीकृत होता है। चरण 3: आसान प्रश्नों में ऑक्सीजन की दिशा देखें।

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

समांतर श्रेणी $22,25,28,\ldots$ के पहले (14) पदों का योग ज्ञात कीजिए।

Find the sum of the first (14) terms of the arithmetic progression $22,25,28,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (581)

Step 1

Concept

The fourteenth term is (61), so (S_{14}=\frac{14}{2}(22+61)=581). Correct calculation of the last term gives the correct sum.

Step 2

Why this answer is correct

The correct answer is B. (581). The fourteenth term is (61), so (S_{14}=\frac{14}{2}(22+61)=581). Correct calculation of the last term gives the correct sum.

Step 3

Exam Tip

चौदहवाँ पद (61) है, इसलिए (S_{14}=\frac{14}{2}(22+61)=581)। अंतिम पद की सही गणना से योग सही मिलता है।

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

पहले (16) विषम प्राकृतिक संख्याओं का योग कितना है?

What is the sum of the first (16) odd natural numbers?

Explanation opens after your attempt

Correct Answer

B. (256)

Step 1

Concept

The sum of the first (n) odd numbers is $n^2$, so $16^2=256$. This formula is worth remembering.

Step 2

Why this answer is correct

The correct answer is B. (256). The sum of the first (n) odd numbers is $n^2$, so $16^2=256$. This formula is worth remembering.

Step 3

Exam Tip

पहले (n) विषम संख्याओं का योग $n^2$ होता है, इसलिए $16^2=256$। यह सूत्र याद रखने योग्य है।

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

यदि (S_n=\frac{n}{2}(a+l)), (a=14), (l=84), और (n=15) है, तो योग ज्ञात कीजिए।

If (S_n=\frac{n}{2}(a+l)), (a=14), (l=84), and (n=15), find the sum.

Explanation opens after your attempt

Correct Answer

C. (735)

Step 1

Concept

(S_{15}=\frac{15}{2}(14+84)=735). Take the average of the first and last terms and multiply by (n).

Step 2

Why this answer is correct

The correct answer is C. (735). (S_{15}=\frac{15}{2}(14+84)=735). Take the average of the first and last terms and multiply by (n).

Step 3

Exam Tip

(S_{15}=\frac{15}{2}(14+84)=735)। पहले और अंतिम पद का औसत लेकर (n) से गुणा करें।

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

यदि किसी समांतर श्रेणी में $S_5=65$ और $S_{11}=242$ है, तो छठे से ग्यारहवें पदों का योग कितना है?

If an arithmetic progression has $S_5=65$ and $S_{11}=242$, what is the sum of the (6)th to (11)th terms?

Explanation opens after your attempt

Correct Answer

B. (177)

Step 1

Concept

The sum of the (6)th to (11)th terms is $S_{11}-S_5=177$. The difference of partial sums gives the answer directly.

Step 2

Why this answer is correct

The correct answer is B. (177). The sum of the (6)th to (11)th terms is $S_{11}-S_5=177$. The difference of partial sums gives the answer directly.

Step 3

Exam Tip

छठे से ग्यारहवें पदों का योग $S_{11}-S_5=177$ है। आंशिक योगों का अंतर सीधे उत्तर देता है।

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

समांतर श्रेणी $2,9,16,\ldots$ के पहले (13) पदों का योग क्या है?

What is the sum of the first (13) terms of the arithmetic progression $2,9,16,\ldots$?

Explanation opens after your attempt

Correct Answer

D. (572)

Step 1

Concept

The thirteenth term is (86), so (S_{13}=\frac{13}{2}(2+86)=572). Use ((n-1)d) when finding the last term.

Step 2

Why this answer is correct

The correct answer is D. (572). The thirteenth term is (86), so (S_{13}=\frac{13}{2}(2+86)=572). Use ((n-1)d) when finding the last term.

Step 3

Exam Tip

तेरहवाँ पद (86) है, इसलिए (S_{13}=\frac{13}{2}(2+86)=572)। अंतिम पद निकालते समय ((n-1)d) का उपयोग करें।

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

यदि किसी समांतर श्रेणी में (a=20), (d=-3), और (n=7) है, तो पहले (7) पदों का योग कितना होगा?

If an arithmetic progression has (a=20), (d=-3), and (n=7), what is the sum of the first (7) terms?

Explanation opens after your attempt

Correct Answer

A. (77)

Step 1

Concept

The seventh term is (2), and (S_7=\frac{7}{2}(20+2)=77). Do not make a sign error with negative (d).

Step 2

Why this answer is correct

The correct answer is A. (77). The seventh term is (2), and (S_7=\frac{7}{2}(20+2)=77). Do not make a sign error with negative (d).

Step 3

Exam Tip

सातवाँ पद (2) है और (S_7=\frac{7}{2}(20+2)=77)। ऋणात्मक (d) में चिन्ह की गलती न करें।

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

पहले (19) सम प्राकृतिक संख्याओं का योग कितना होगा?

What will be the sum of the first (19) even natural numbers?

Explanation opens after your attempt

Correct Answer

B. (380)

Step 1

Concept

The sum of the first (n) even numbers is (n(n+1)), so $19\times20=380$. Even numbers start from $2,4,6,\ldots$.

Step 2

Why this answer is correct

The correct answer is B. (380). The sum of the first (n) even numbers is (n(n+1)), so $19\times20=380$. Even numbers start from $2,4,6,\ldots$.

Step 3

Exam Tip

पहले (n) सम संख्याओं का योग (n(n+1)) होता है, इसलिए $19\times20=380$। सम संख्याएँ $2,4,6,\ldots$ से शुरू होती हैं।

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

पहले (22) प्राकृतिक संख्याओं का योग कितना है?

What is the sum of the first (22) natural numbers?

Explanation opens after your attempt

Correct Answer

B. (253)

Step 1

Concept

The sum of the first (n) natural numbers is (\frac{n(n+1)}{2}), so the answer is (253). Put the value of (n) directly in such questions.

Step 2

Why this answer is correct

The correct answer is B. (253). The sum of the first (n) natural numbers is (\frac{n(n+1)}{2}), so the answer is (253). Put the value of (n) directly in such questions.

Step 3

Exam Tip

पहले (n) प्राकृतिक संख्याओं का योग (\frac{n(n+1)}{2}) होता है, इसलिए (253) मिलेगा। ऐसे प्रश्न में सीधे (n) का मान लगाएँ।

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

समांतर श्रेढ़ी $2,5,8,\ldots$ के पहले (14) पदों का योग ज्ञात कीजिए।

Find the sum of the first (14) terms of the arithmetic progression $2,5,8,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (301)

Step 1

Concept

The fourteenth term is (41), so (S_{14}=\frac{14}{2}(2+41)=301). Finding the last term correctly is the main step.

Step 2

Why this answer is correct

The correct answer is C. (301). The fourteenth term is (41), so (S_{14}=\frac{14}{2}(2+41)=301). Finding the last term correctly is the main step.

Step 3

Exam Tip

चौदहवाँ पद (41) है, इसलिए (S_{14}=\frac{14}{2}(2+41)=301)। अंतिम पद सही निकालना मुख्य कदम है।

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

समांतर श्रेढ़ी $14,17,20,\ldots$ के पहले (10) पदों का योग ज्ञात कीजिए।

Find the sum of the first (10) terms of the arithmetic progression $14,17,20,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (275)

Step 1

Concept

The tenth term is (41), and (S_{10}=\frac{10}{2}(14+41)=275). Finding the last term first makes the sum simple.

Step 2

Why this answer is correct

The correct answer is B. (275). The tenth term is (41), and (S_{10}=\frac{10}{2}(14+41)=275). Finding the last term first makes the sum simple.

Step 3

Exam Tip

दसवाँ पद (41) है और (S_{10}=\frac{10}{2}(14+41)=275)। अंतिम पद निकालकर योग लेना सरल है।

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

समांतर श्रेढ़ी $9,13,17,\ldots$ के पहले (15) पदों का योग ज्ञात कीजिए।

Find the sum of the first (15) terms of the arithmetic progression $9,13,17,\ldots$.

Explanation opens after your attempt

Correct Answer

A. (555)

Step 1

Concept

The last term is (65), so (S_{15}=\frac{15}{2}(9+65)=555). Using the last term can simplify calculation.

Step 2

Why this answer is correct

The correct answer is A. (555). The last term is (65), so (S_{15}=\frac{15}{2}(9+65)=555). Using the last term can simplify calculation.

Step 3

Exam Tip

अंतिम पद (65) है, इसलिए (S_{15}=\frac{15}{2}(9+65)=555)। अंतिम पद से गणना आसान हो सकती है।

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

किसी समांतर श्रेढ़ी के पहले (9) पदों का औसत (25) है। इन (9) पदों का योग कितना है?

The average of the first (9) terms of an arithmetic progression is (25). What is the sum of these (9) terms?

Explanation opens after your attempt

Correct Answer

C. (225)

Step 1

Concept

Sum equals average $\times$ number of terms, so $25\times9=225$. When the average is given, the long formula is not needed.

Step 2

Why this answer is correct

The correct answer is C. (225). Sum equals average $\times$ number of terms, so $25\times9=225$. When the average is given, the long formula is not needed.

Step 3

Exam Tip

योग (=) औसत $\times$ पदों की संख्या, इसलिए $25\times9=225$। औसत दिए होने पर लंबा सूत्र जरूरी नहीं।

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

समान्तर श्रेणी $17,22,27,\ldots$ के पहले (10) पदों का योग कितना है?

What is the sum of the first (10) terms of the AP $17,22,27,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (395)

Step 1

Concept

The tenth term is (62). (S_{10}=\frac{10}{2}(17+62)=395).

Step 2

Why this answer is correct

The correct answer is C. (395). The tenth term is (62). (S_{10}=\frac{10}{2}(17+62)=395).

Step 3

Exam Tip

दसवां पद (62) है। (S_{10}=\frac{10}{2}(17+62)=395)।

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

एक AP का (a=2), (l=38) और (n=10) है। $S_n$ क्या होगा?

An AP has (a=2), (l=38), and (n=10). What is $S_n$?

Explanation opens after your attempt

Correct Answer

C. (200)

Step 1

Concept

The first and last terms are given. (S_{10}=\frac{10}{2}(2+38)=200).

Step 2

Why this answer is correct

The correct answer is C. (200). The first and last terms are given. (S_{10}=\frac{10}{2}(2+38)=200).

Step 3

Exam Tip

पहला और अंतिम पद दिए हैं। (S_{10}=\frac{10}{2}(2+38)=200)।

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

समान्तर श्रेणी $2,5,8,\ldots$ के पहले (10) पदों का योग क्या है?

What is the sum of the first (10) terms of the AP $2,5,8,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (155)

Step 1

Concept

Here (a=2), (d=3), (n=10). $S_{10}=\frac{10}{2}[2\cdot2+9\cdot3]=155$.

Step 2

Why this answer is correct

The correct answer is C. (155). Here (a=2), (d=3), (n=10). $S_{10}=\frac{10}{2}[2\cdot2+9\cdot3]=155$.

Step 3

Exam Tip

यहां (a=2), (d=3), (n=10)। $S_{10}=\frac{10}{2}[2\cdot2+9\cdot3]=155$।

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

एपी $\frac{4}{5},\frac{9}{5},\frac{14}{5},\frac{19}{5},\ldots$ का (6)वाँ पद ज्ञात करें।

Find the (6)th term of the AP $\frac{4}{5},\frac{9}{5},\frac{14}{5},\frac{19}{5},\ldots$.

Explanation opens after your attempt

Correct Answer

B. $\frac{29}{5}$

Step 1

Concept

Here (d=1), so $a_6=\frac{4}{5}+5=\frac{29}{5}$. Convert the whole number to a fraction with the same denominator.

Step 2

Why this answer is correct

The correct answer is B. $\frac{29}{5}$. Here (d=1), so $a_6=\frac{4}{5}+5=\frac{29}{5}$. Convert the whole number to a fraction with the same denominator.

Step 3

Exam Tip

यहाँ (d=1) है इसलिए $a_6=\frac{4}{5}+5=\frac{29}{5}$। पूर्ण संख्या को समान हर वाली भिन्न में बदलें।

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

एपी $14,14,14,14,\ldots$ का (40)वाँ पद क्या होगा?

What is the (40)th term of the AP $14,14,14,14,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

Here (d=0), so every term remains (14). In a constant AP, $a_n=a$.

Step 2

Why this answer is correct

The correct answer is B. (14). Here (d=0), so every term remains (14). In a constant AP, $a_n=a$.

Step 3

Exam Tip

यहाँ (d=0) है इसलिए हर पद (14) रहेगा। स्थिर एपी में $a_n=a$ होता है।

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

यदि $a_9=70$ और (d=3) है तो (15)वाँ पद क्या होगा?

If $a_9=70$ and (d=3), what is the (15)th term?

Explanation opens after your attempt

Correct Answer

C. (88)

Step 1

Concept

The (15)th term is (6d) after the (9)th term, so (70+18=88). This method is simple for nearby terms.

Step 2

Why this answer is correct

The correct answer is C. (88). The (15)th term is (6d) after the (9)th term, so (70+18=88). This method is simple for nearby terms.

Step 3

Exam Tip

(15)वाँ पद (9)वें पद से (6d) आगे है इसलिए (70+18=88)। निकट पदों में यह विधि सरल है।

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

एपी $9,15,21,27,\ldots$ का (28)वाँ पद क्या है?

What is the (28)th term of the AP $9,15,21,27,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (171)

Step 1

Concept

Here (d=6), so $a_{28}=9+27\times6=171$. For the (28)th term, add (27d).

Step 2

Why this answer is correct

The correct answer is B. (171). Here (d=6), so $a_{28}=9+27\times6=171$. For the (28)th term, add (27d).

Step 3

Exam Tip

यहाँ (d=6) है इसलिए $a_{28}=9+27\times6=171$। (28)वें पद के लिए (27d) जोड़ें।

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

यदि $a_1=22$ और (d=13) है तो (5)वाँ पद क्या होगा?

If $a_1=22$ and (d=13), what is the (5)th term?

Explanation opens after your attempt

Correct Answer

C. (74)

Step 1

Concept

$a_5=22+4\times13=74$. $a_1$ is treated as the first term.

Step 2

Why this answer is correct

The correct answer is C. (74). $a_5=22+4\times13=74$. $a_1$ is treated as the first term.

Step 3

Exam Tip

$a_5=22+4\times13=74$। $a_1$ को प्रथम पद माना जाता है।

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

एपी $33,29,25,21,\ldots$ का (14)वाँ पद ज्ञात करें।

Find the (14)th term of the AP $33,29,25,21,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (-19)

Step 1

Concept

Here (d=-4), so (a_{14}=33+13(-4)=-19). Add (-4) thirteen times.

Step 2

Why this answer is correct

The correct answer is B. (-19). Here (d=-4), so (a_{14}=33+13(-4)=-19). Add (-4) thirteen times.

Step 3

Exam Tip

यहाँ (d=-4) है इसलिए (a_{14}=33+13(-4)=-19)। (13) बार (-4) जोड़ें।

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

एपी $6,17,28,39,\ldots$ का (16)वाँ पद क्या होगा?

What is the (16)th term of the AP $6,17,28,39,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (171)

Step 1

Concept

Here (d=11), so $a_{16}=6+15\times11=171$. For the (16)th term, add (15) differences.

Step 2

Why this answer is correct

The correct answer is B. (171). Here (d=11), so $a_{16}=6+15\times11=171$. For the (16)th term, add (15) differences.

Step 3

Exam Tip

यहाँ (d=11) है इसलिए $a_{16}=6+15\times11=171$। (16)वें पद के लिए (15) अंतर जोड़ें।

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

यदि (a=120), (d=-9) और (n=13) है तो $a_n$ ज्ञात करें।

If (a=120), (d=-9), and (n=13), find $a_n$.

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

(a_{13}=120+12(-9)=12). First subtract $12\times9$.

Step 2

Why this answer is correct

The correct answer is B. (12). (a_{13}=120+12(-9)=12). First subtract $12\times9$.

Step 3

Exam Tip

(a_{13}=120+12(-9)=12)। पहले $12\times9$ घटाएं।

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

एपी $-15,-9,-3,3,\ldots$ का (18)वाँ पद क्या है?

What is the (18)th term of the AP $-15,-9,-3,3,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (87)

Step 1

Concept

Here (d=6), so $a_{18}=-15+17\times6=87$. Add the negative first term correctly.

Step 2

Why this answer is correct

The correct answer is C. (87). Here (d=6), so $a_{18}=-15+17\times6=87$. Add the negative first term correctly.

Step 3

Exam Tip

यहाँ (d=6) है इसलिए $a_{18}=-15+17\times6=87$। ऋणात्मक प्रथम पद को सही जोड़ें।

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

एपी $12,17,22,27,\ldots$ का (24)वाँ पद ज्ञात कीजिए।

Find the (24)th term of the AP $12,17,22,27,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (127)

Step 1

Concept

Here (d=5), so $a_{24}=12+23\times5=127$. For the (24)th term, add (23d).

Step 2

Why this answer is correct

The correct answer is B. (127). Here (d=5), so $a_{24}=12+23\times5=127$. For the (24)th term, add (23d).

Step 3

Exam Tip

यहाँ (d=5) है इसलिए $a_{24}=12+23\times5=127$। (24)वें पद के लिए (23d) जोड़ें।

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

यदि $a_8=44$ और (d=-2) है तो (12)वाँ पद क्या होगा?

If $a_8=44$ and (d=-2), what is the (12)th term?

Explanation opens after your attempt

Correct Answer

B. (36)

Step 1

Concept

The (12)th term is (4d) after the (8)th term, so (44+4(-2)=36). Add the negative difference carefully.

Step 2

Why this answer is correct

The correct answer is B. (36). The (12)th term is (4d) after the (8)th term, so (44+4(-2)=36). Add the negative difference carefully.

Step 3

Exam Tip

(12)वाँ पद (8)वें पद से (4d) आगे है इसलिए (44+4(-2)=36)। ऋणात्मक अंतर को ध्यान से जोड़ें।

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

एपी $7,16,25,34,\ldots$ का (21)वाँ पद क्या होगा?

What is the (21)st term of the AP $7,16,25,34,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (187)

Step 1

Concept

Here (d=9), so $a_{21}=7+20\times9=187$. Up to the (21)st term, (20) differences are added.

Step 2

Why this answer is correct

The correct answer is B. (187). Here (d=9), so $a_{21}=7+20\times9=187$. Up to the (21)st term, (20) differences are added.

Step 3

Exam Tip

यहाँ (d=9) है इसलिए $a_{21}=7+20\times9=187$। (21)वें पद तक (20) अंतर जुड़ते हैं।

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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 में (a=2.5), (d=2.5) और (n=10) है तो $a_n$ क्या होगा?

If an AP has (a=2.5), (d=2.5), and (n=10), what is $a_n$?

Explanation opens after your attempt

Correct Answer

B. (25.0)

Step 1

Concept

$a_{10}=2.5+9\times2.5=25.0$. Treat decimals like ordinary numbers.

Step 2

Why this answer is correct

The correct answer is B. (25.0). $a_{10}=2.5+9\times2.5=25.0$. Treat decimals like ordinary numbers.

Step 3

Exam Tip

$a_{10}=2.5+9\times2.5=25.0$। दशमलव को सामान्य संख्या की तरह रखें।

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

एपी $48,42,36,30,\ldots$ का (11)वाँ पद ज्ञात करें।

Find the (11)th term of the AP $48,42,36,30,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (-12)

Step 1

Concept

Here (d=-6), so (a_{11}=48+10(-6)=-12). For the (11)th term, add (10d).

Step 2

Why this answer is correct

The correct answer is B. (-12). Here (d=-6), so (a_{11}=48+10(-6)=-12). For the (11)th term, add (10d).

Step 3

Exam Tip

यहाँ (d=-6) है इसलिए (a_{11}=48+10(-6)=-12)। (11)वें पद के लिए (10d) जोड़ें।

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

यदि $a_2=12$ और (d=9) है तो (7)वाँ पद क्या होगा?

If $a_2=12$ and (d=9), what is the (7)th term?

Explanation opens after your attempt

Correct Answer

B. (57)

Step 1

Concept

The (7)th term is (5d) after the (2)nd term, so (12+45=57). Solve by moving forward from the given term.

Step 2

Why this answer is correct

The correct answer is B. (57). The (7)th term is (5d) after the (2)nd term, so (12+45=57). Solve by moving forward from the given term.

Step 3

Exam Tip

(7)वाँ पद (2)रे पद से (5d) आगे है इसलिए (12+45=57)। दिए पद से आगे बढ़कर हल करें।

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

एपी $18,28,38,48,\ldots$ का (9)वाँ पद क्या है?

What is the (9)th term of the AP $18,28,38,48,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (98)

Step 1

Concept

Here (d=10), so $a_9=18+8\times10=98$. Up to the (9)th term, (8) differences are added.

Step 2

Why this answer is correct

The correct answer is C. (98). Here (d=10), so $a_9=18+8\times10=98$. Up to the (9)th term, (8) differences are added.

Step 3

Exam Tip

यहाँ (d=10) है इसलिए $a_9=18+8\times10=98$। (9)वें पद तक (8) अंतर जुड़ते हैं।

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

यदि (a=5) और (d=-1) है तो (30)वाँ पद क्या होगा?

If (a=5) and (d=-1), what is the (30)th term?

Explanation opens after your attempt

Correct Answer

C. (-24)

Step 1

Concept

(a_{30}=5+29(-1)=-24). For the (30)th term, add (29d).

Step 2

Why this answer is correct

The correct answer is C. (-24). (a_{30}=5+29(-1)=-24). For the (30)th term, add (29d).

Step 3

Exam Tip

(a_{30}=5+29(-1)=-24)। (30)वें पद के लिए (29d) जोड़ना है।

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

एपी $31,34,37,40,\ldots$ का (22)वाँ पद क्या होगा?

What is the (22)nd term of the AP $31,34,37,40,\ldots$?

Explanation opens after your attempt

Correct Answer

D. (94)

Step 1

Concept

Here (d=3), so $a_{22}=31+21\times3=94$. The (22)nd term includes (21) differences.

Step 2

Why this answer is correct

The correct answer is D. (94). Here (d=3), so $a_{22}=31+21\times3=94$. The (22)nd term includes (21) differences.

Step 3

Exam Tip

यहाँ (d=3) है इसलिए $a_{22}=31+21\times3=94$। (22)वें पद में (21) अंतर जुड़ते हैं।

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

एपी $\frac{5}{4},\frac{7}{4},\frac{9}{4},\frac{11}{4},\ldots$ का (9)वाँ पद ज्ञात करें।

Find the (9)th term of the AP $\frac{5}{4},\frac{7}{4},\frac{9}{4},\frac{11}{4},\ldots$.

Explanation opens after your attempt

Correct Answer

C. $\frac{21}{4}$

Step 1

Concept

Here $d=\frac{1}{2}$, so $a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}$. Use the fractional difference carefully.

Step 2

Why this answer is correct

The correct answer is C. $\frac{21}{4}$. Here $d=\frac{1}{2}$, so $a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}$. Use the fractional difference carefully.

Step 3

Exam Tip

यहाँ $d=\frac{1}{2}$ है इसलिए $a_9=\frac{5}{4}+8\times\frac{1}{2}=\frac{21}{4}$। भिन्न वाले अंतर को सरल रूप में लें।

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

यदि (a=0), (d=11) और (n=11) है तो $a_n$ क्या होगा?

If (a=0), (d=11), and (n=11), what is $a_n$?

Explanation opens after your attempt

Correct Answer

B. (110)

Step 1

Concept

$a_{11}=0+10\times11=110$. Even when the first term is (0), use (n-1).

Step 2

Why this answer is correct

The correct answer is B. (110). $a_{11}=0+10\times11=110$. Even when the first term is (0), use (n-1).

Step 3

Exam Tip

$a_{11}=0+10\times11=110$। प्रथम पद (0) होने पर भी (n-1) ही लेते हैं।

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

एपी $200,190,180,170,\ldots$ का (16)वाँ पद क्या है?

What is the (16)th term of the AP $200,190,180,170,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (50)

Step 1

Concept

Here (d=-10), so (a_{16}=200+15(-10)=50). Watch the sign even with large terms.

Step 2

Why this answer is correct

The correct answer is B. (50). Here (d=-10), so (a_{16}=200+15(-10)=50). Watch the sign even with large terms.

Step 3

Exam Tip

यहाँ (d=-10) है इसलिए (a_{16}=200+15(-10)=50)। बड़े पदों में भी चिह्न पर ध्यान दें।

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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

एपी $5,14,23,32,\ldots$ का (14)वाँ पद ज्ञात कीजिए।

Find the (14)th term of the AP $5,14,23,32,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (122)

Step 1

Concept

Here (d=9), so $a_{14}=5+13\times9=122$. Use (n-1=13).

Step 2

Why this answer is correct

The correct answer is C. (122). Here (d=9), so $a_{14}=5+13\times9=122$. Use (n-1=13).

Step 3

Exam Tip

यहाँ (d=9) है इसलिए $a_{14}=5+13\times9=122$। (n-1=13) का उपयोग करें।

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

एपी $64,60,56,52,\ldots$ का (18)वाँ पद क्या होगा?

What is the (18)th term of the AP $64,60,56,52,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (-4)

Step 1

Concept

Here (d=-4), so (a_{18}=64+17(-4)=-4). Add the negative difference (17) times.

Step 2

Why this answer is correct

The correct answer is A. (-4). Here (d=-4), so (a_{18}=64+17(-4)=-4). Add the negative difference (17) times.

Step 3

Exam Tip

यहाँ (d=-4) है इसलिए (a_{18}=64+17(-4)=-4)। (17) बार ऋणात्मक अंतर जोड़ें।

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

यदि $a_6=38$ और (d=5) है तो (13)वाँ पद क्या होगा?

If $a_6=38$ and (d=5), what is the (13)th term?

Explanation opens after your attempt

Correct Answer

C. (73)

Step 1

Concept

The (13)th term is (7d) after the (6)th term, so (38+35=73). Count the forward gap correctly.

Step 2

Why this answer is correct

The correct answer is C. (73). The (13)th term is (7d) after the (6)th term, so (38+35=73). Count the forward gap correctly.

Step 3

Exam Tip

(13)वाँ पद (6)वें पद से (7d) आगे है इसलिए (38+35=73)। दिए पद से आगे का अंतर सही गिनें।

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

एपी $1.5,3.0,4.5,6.0,\ldots$ का (8)वाँ पद ज्ञात करें।

Find the (8)th term of the AP $1.5,3.0,4.5,6.0,\ldots$.

Explanation opens after your attempt

Correct Answer

D. (12.0)

Step 1

Concept

Here (a=1.5) and (d=1.5), so $a_8=12.0$. The same formula applies to decimals too.

Step 2

Why this answer is correct

The correct answer is D. (12.0). Here (a=1.5) and (d=1.5), so $a_8=12.0$. The same formula applies to decimals too.

Step 3

Exam Tip

यहाँ (a=1.5) और (d=1.5) है इसलिए $a_8=12.0$। दशमलव में भी वही सूत्र लागू होता है।

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

एपी $11,19,27,35,\ldots$ का (19)वाँ पद क्या है?

What is the (19)th term of the AP $11,19,27,35,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (155)

Step 1

Concept

Here (d=8), so $a_{19}=11+18\times8=155$. For the (19)th term, add (18d).

Step 2

Why this answer is correct

The correct answer is C. (155). Here (d=8), so $a_{19}=11+18\times8=155$. For the (19)th term, add (18d).

Step 3

Exam Tip

यहाँ (d=8) है इसलिए $a_{19}=11+18\times8=155$। (19)वें पद के लिए (18d) जोड़ें।

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

यदि (a=18) और (d=-7) है तो (6)वाँ पद क्या होगा?

If (a=18) and (d=-7), what is the (6)th term?

Explanation opens after your attempt

Correct Answer

A. (-17)

Step 1

Concept

(a_6=18+5(-7)=-17). In a decreasing AP, the answer can be negative.

Step 2

Why this answer is correct

The correct answer is A. (-17). (a_6=18+5(-7)=-17). In a decreasing AP, the answer can be negative.

Step 3

Exam Tip

(a_6=18+5(-7)=-17)। घटती एपी में उत्तर ऋणात्मक भी हो सकता है।

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

एपी $-20,-15,-10,-5,\ldots$ में (15)वाँ पद क्या होगा?

What is the (15)th term in the AP $-20,-15,-10,-5,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (50)

Step 1

Concept

Here (d=5), so $a_{15}=-20+14\times5=50$. Do not get confused by the negative start.

Step 2

Why this answer is correct

The correct answer is C. (50). Here (d=5), so $a_{15}=-20+14\times5=50$. Do not get confused by the negative start.

Step 3

Exam Tip

यहाँ (d=5) है इसलिए $a_{15}=-20+14\times5=50$। ऋणात्मक शुरुआत से भ्रमित न हों।

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

एपी $13,23,33,43,\ldots$ का (12)वाँ पद ज्ञात करें।

Find the (12)th term of the AP $13,23,33,43,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (123)

Step 1

Concept

Here (d=10), so $a_{12}=13+11\times10=123$. The (12)th term includes (11) common differences.

Step 2

Why this answer is correct

The correct answer is B. (123). Here (d=10), so $a_{12}=13+11\times10=123$. The (12)th term includes (11) common differences.

Step 3

Exam Tip

यहाँ (d=10) है इसलिए $a_{12}=13+11\times10=123$। (12)वें पद में (11) सार्व अंतर जुड़ते हैं।

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

यदि $a_3=16$ और (d=7) है तो (8)वाँ पद क्या होगा?

If $a_3=16$ and (d=7), what is the (8)th term?

Explanation opens after your attempt

Correct Answer

B. (51)

Step 1

Concept

The (8)th term is (5d) after the (3)rd term, so (16+35=51). Count the gap between terms.

Step 2

Why this answer is correct

The correct answer is B. (51). The (8)th term is (5d) after the (3)rd term, so (16+35=51). Count the gap between terms.

Step 3

Exam Tip

(8)वाँ पद (3)रे पद से (5d) आगे है इसलिए (16+35=51)। पदों के बीच का अंतर गिनें।

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

एपी $100,97,94,91,\ldots$ का (25)वाँ पद क्या है?

What is the (25)th term of the AP $100,97,94,91,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (28)

Step 1

Concept

Here (d=-3), so (a_{25}=100+24(-3)=28). Up to the (25)th term, (24) differences are added.

Step 2

Why this answer is correct

The correct answer is A. (28). Here (d=-3), so (a_{25}=100+24(-3)=28). Up to the (25)th term, (24) differences are added.

Step 3

Exam Tip

यहाँ (d=-3) है इसलिए (a_{25}=100+24(-3)=28)। (25)वें पद तक (24) अंतर जुड़ते हैं।

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

यदि (a=7), (d=12) और (n=8) है तो $a_n$ क्या है?

If (a=7), (d=12), and (n=8), what is $a_n$?

Explanation opens after your attempt

Correct Answer

B. (91)

Step 1

Concept

$a_8=7+7\times12=91$. When (n=8), (7d) is added.

Step 2

Why this answer is correct

The correct answer is B. (91). $a_8=7+7\times12=91$. When (n=8), (7d) is added.

Step 3

Exam Tip

$a_8=7+7\times12=91$। (n=8) होने पर (7d) जुड़ता है।

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

एपी $55,52,49,46,\ldots$ का (20)वाँ पद ज्ञात करें।

Find the (20)th term of the AP $55,52,49,46,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (-2)

Step 1

Concept

Here (d=-3), so (a_{20}=55+19(-3)=-2). For the (20)th term, add (19d).

Step 2

Why this answer is correct

The correct answer is B. (-2). Here (d=-3), so (a_{20}=55+19(-3)=-2). For the (20)th term, add (19d).

Step 3

Exam Tip

यहाँ (d=-3) है इसलिए (a_{20}=55+19(-3)=-2)। (20)वें पद के लिए (19d) जोड़ें।

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

एपी $25,31,37,43,\ldots$ का (10)वाँ पद क्या होगा?

What is the (10)th term of the AP $25,31,37,43,\ldots$?

Explanation opens after your attempt

Correct Answer

D. (79)

Step 1

Concept

Here (d=6), so $a_{10}=25+9\times6=79$. The (10)th term has (9) differences.

Step 2

Why this answer is correct

The correct answer is D. (79). Here (d=6), so $a_{10}=25+9\times6=79$. The (10)th term has (9) differences.

Step 3

Exam Tip

यहाँ (d=6) है इसलिए $a_{10}=25+9\times6=79$। (10)वें पद में (9) अंतर होते हैं।

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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

एपी $2,11,20,29,\ldots$ का (18)वाँ पद ज्ञात कीजिए।

Find the (18)th term of the AP $2,11,20,29,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (155)

Step 1

Concept

Here (d=9), so $a_{18}=2+17\times9=155$. Use the same formula even for a large term number.

Step 2

Why this answer is correct

The correct answer is C. (155). Here (d=9), so $a_{18}=2+17\times9=155$. Use the same formula even for a large term number.

Step 3

Exam Tip

यहाँ (d=9) है इसलिए $a_{18}=2+17\times9=155$। बड़ी पद संख्या में भी वही सूत्र लगाएं।

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

एपी $90,82,74,66,\ldots$ का (9)वाँ पद क्या है?

What is the (9)th term of the AP $90,82,74,66,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (26)

Step 1

Concept

Here (d=-8), so (a_9=90+8(-8)=26). Keep the sign of the common difference correct.

Step 2

Why this answer is correct

The correct answer is B. (26). Here (d=-8), so (a_9=90+8(-8)=26). Keep the sign of the common difference correct.

Step 3

Exam Tip

यहाँ (d=-8) है इसलिए (a_9=90+8(-8)=26)। सार्व अंतर का चिह्न सही रखें।

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

यदि $a_5=27$ और (d=4) है तो (11)वाँ पद क्या होगा?

If $a_5=27$ and (d=4), what is the (11)th term?

Explanation opens after your attempt

Correct Answer

C. (51)

Step 1

Concept

The (11)th term is (6d) after the (5)th term, so (27+24=51). Moving ahead from the given term is quick.

Step 2

Why this answer is correct

The correct answer is C. (51). The (11)th term is (6d) after the (5)th term, so (27+24=51). Moving ahead from the given term is quick.

Step 3

Exam Tip

(11)वाँ पद (5)वें पद से (6d) आगे है इसलिए (27+24=51)। दिए पद से आगे बढ़ना तेज तरीका है।

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

एपी $\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots$ का (12)वाँ पद ज्ञात करें।

Find the (12)th term of the AP $\frac{1}{3},\frac{2}{3},1,\frac{4}{3},\ldots$.

Explanation opens after your attempt

Correct Answer

D. (4)

Step 1

Concept

Here $a=\frac{1}{3}$ and $d=\frac{1}{3}$, so $a_{12}=4$. Keep denominators common in fractions.

Step 2

Why this answer is correct

The correct answer is D. (4). Here $a=\frac{1}{3}$ and $d=\frac{1}{3}$, so $a_{12}=4$. Keep denominators common in fractions.

Step 3

Exam Tip

यहाँ $a=\frac{1}{3}$ और $d=\frac{1}{3}$ है इसलिए $a_{12}=4$। भिन्नों में हर समान रखें।

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

एपी $15,22,29,36,\ldots$ का (17)वाँ पद क्या होगा?

What is the (17)th term of the AP $15,22,29,36,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (127)

Step 1

Concept

Here (d=7), so $a_{17}=15+16\times7=127$. For the (17)th term, add (16) differences.

Step 2

Why this answer is correct

The correct answer is B. (127). Here (d=7), so $a_{17}=15+16\times7=127$. For the (17)th term, add (16) differences.

Step 3

Exam Tip

यहाँ (d=7) है इसलिए $a_{17}=15+16\times7=127$। (17)वें पद के लिए (16) अंतर जोड़ें।

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

यदि (a=80), (d=-5) और (n=14) हो तो $a_n$ ज्ञात करें।

If (a=80), (d=-5), and (n=14), find $a_n$.

Explanation opens after your attempt

Correct Answer

B. (15)

Step 1

Concept

(a_{14}=80+13(-5)=15). Write negative (d) in brackets.

Step 2

Why this answer is correct

The correct answer is B. (15). (a_{14}=80+13(-5)=15). Write negative (d) in brackets.

Step 3

Exam Tip

(a_{14}=80+13(-5)=15)। ऋणात्मक (d) को कोष्ठक में लिखें।

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

एपी $4,12,20,28,\ldots$ का (15)वाँ पद क्या है?

What is the (15)th term of the AP $4,12,20,28,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (116)

Step 1

Concept

Here (a=4) and (d=8), so $a_{15}=4+14\times8=116$. Keep (n-1) correct.

Step 2

Why this answer is correct

The correct answer is C. (116). Here (a=4) and (d=8), so $a_{15}=4+14\times8=116$. Keep (n-1) correct.

Step 3

Exam Tip

यहाँ (a=4) और (d=8) है इसलिए $a_{15}=4+14\times8=116$। (n-1) को सही रखें।

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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 66

एपी $72,66,60,54,\ldots$ में (8)वाँ पद क्या होगा?

What is the (8)th term in the AP $72,66,60,54,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (30)

Step 1

Concept

Here (d=-6), so (a_8=72+7(-6)=30). For the (8)th term, add (7d).

Step 2

Why this answer is correct

The correct answer is C. (30). Here (d=-6), so (a_8=72+7(-6)=30). For the (8)th term, add (7d).

Step 3

Exam Tip

यहाँ (d=-6) है इसलिए (a_8=72+7(-6)=30)। (8)वें पद के लिए (7d) जोड़ें।

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

एपी $-4,2,8,14,\ldots$ का (13)वाँ पद ज्ञात करें।

Find the (13)th term of the AP $-4,2,8,14,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (68)

Step 1

Concept

Here (d=6), so $a_{13}=-4+12\times6=68$. Add carefully when the first term is negative.

Step 2

Why this answer is correct

The correct answer is C. (68). Here (d=6), so $a_{13}=-4+12\times6=68$. Add carefully when the first term is negative.

Step 3

Exam Tip

यहाँ (d=6) है इसलिए $a_{13}=-4+12\times6=68$। ऋणात्मक प्रथम पद के साथ जोड़ सावधानी से करें।

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

यदि (a=6) और (d=8) है तो (12)वाँ पद क्या होगा?

If (a=6) and (d=8), what is the (12)th term?

Explanation opens after your attempt

Correct Answer

C. (94)

Step 1

Concept

$a_{12}=6+11\times8=94$. Up to the (12)th term, (11) differences are added.

Step 2

Why this answer is correct

The correct answer is C. (94). $a_{12}=6+11\times8=94$. Up to the (12)th term, (11) differences are added.

Step 3

Exam Tip

$a_{12}=6+11\times8=94$। (12)वें पद तक (11) अंतर जुड़ते हैं।

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

एपी $45,41,37,33,\ldots$ का (10)वाँ पद क्या है?

What is the (10)th term of the AP $45,41,37,33,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (9)

Step 1

Concept

Here (d=-4), so (a_{10}=45+9(-4)=9). In a decreasing AP, take (d) as negative.

Step 2

Why this answer is correct

The correct answer is A. (9). Here (d=-4), so (a_{10}=45+9(-4)=9). In a decreasing AP, take (d) as negative.

Step 3

Exam Tip

यहाँ (d=-4) है इसलिए (a_{10}=45+9(-4)=9)। घटती एपी में (d) ऋणात्मक लें।

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

एपी $3,8,13,18,\ldots$ का (9)वाँ पद ज्ञात कीजिए।

Find the (9)th term of the AP $3,8,13,18,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

Here (a=3) and (d=5), so $a_9=3+8\times5=43$. First identify the common difference.

Step 2

Why this answer is correct

The correct answer is C. (43). Here (a=3) and (d=5), so $a_9=3+8\times5=43$. First identify the common difference.

Step 3

Exam Tip

यहाँ (a=3) और (d=5) है इसलिए $a_9=3+8\times5=43$। पहले सार्व अंतर पहचानें।

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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 में (a=14), (d=3) और (n=11) है तो $a_n$ क्या होगा?

If an AP has (a=14), (d=3), and (n=11), what is $a_n$?

Explanation opens after your attempt

Correct Answer

B. (44)

Step 1

Concept

Using (a_n=a+(n-1)d), $a_{11}=14+10\times3=44$. In exams, first find (n-1).

Step 2

Why this answer is correct

The correct answer is B. (44). Using (a_n=a+(n-1)d), $a_{11}=14+10\times3=44$. In exams, first find (n-1).

Step 3

Exam Tip

(a_n=a+(n-1)d) से $a_{11}=14+10\times3=44$। परीक्षा में पहले (n-1) निकालें।

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

एपी $\frac{2}{3},\frac{5}{3},\frac{8}{3},\frac{11}{3},\ldots$ का (7)वाँ पद ज्ञात करें।

Find the (7)th term of the AP $\frac{2}{3},\frac{5}{3},\frac{8}{3},\frac{11}{3},\ldots$.

Explanation opens after your attempt

Correct Answer

C. $\frac{20}{3}$

Step 1

Concept

Here (d=1), so $a_7=\frac{2}{3}+6=\frac{20}{3}$. Convert the whole number into a fraction before adding.

Step 2

Why this answer is correct

The correct answer is C. $\frac{20}{3}$. Here (d=1), so $a_7=\frac{2}{3}+6=\frac{20}{3}$. Convert the whole number into a fraction before adding.

Step 3

Exam Tip

यहाँ (d=1) है इसलिए $a_7=\frac{2}{3}+6=\frac{20}{3}$। पूर्ण संख्या को भिन्न में बदलकर जोड़ें।

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

एपी $6,6,6,6,\ldots$ का (100)वाँ पद क्या होगा?

What is the (100)th term of the AP $6,6,6,6,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

Here (d=0), so $a_{100}=6$. In a constant AP, every term is the same.

Step 2

Why this answer is correct

The correct answer is A. (6). Here (d=0), so $a_{100}=6$. In a constant AP, every term is the same.

Step 3

Exam Tip

यहाँ (d=0) है इसलिए $a_{100}=6$। स्थिर एपी में हर पद समान 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 $a_2=10$ और (d=4) है तो (6)वाँ पद क्या होगा?

If $a_2=10$ and (d=4), what is the (6)th term?

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

The (6)th term is (4d) after the (2)nd term, so (10+16=26). Solve by moving forward from the given term.

Step 2

Why this answer is correct

The correct answer is C. (26). The (6)th term is (4d) after the (2)nd term, so (10+16=26). Solve by moving forward from the given term.

Step 3

Exam Tip

(6)वाँ पद (2)रे पद से (4d) आगे है इसलिए (10+16=26)। दिए पद से आगे बढ़कर हल करें।

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

एपी $35,30,25,20,\ldots$ का (18)वाँ पद ज्ञात करें।

Find the (18)th term of the AP $35,30,25,20,\ldots$.

Explanation opens after your attempt

Correct Answer

A. (-50)

Step 1

Concept

Here (d=-5), so (a_{18}=35+17(-5)=-50). You need to add (-5) seventeen times.

Step 2

Why this answer is correct

The correct answer is A. (-50). Here (d=-5), so (a_{18}=35+17(-5)=-50). You need to add (-5) seventeen times.

Step 3

Exam Tip

यहाँ (d=-5) है इसलिए (a_{18}=35+17(-5)=-50)। (17) बार (-5) जोड़ना है।

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

एपी $1,8,15,22,\ldots$ का (22)वाँ पद क्या है?

What is the (22)nd term of the AP $1,8,15,22,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (148)

Step 1

Concept

Here (d=7), so $a_{22}=1+21\times7=148$. For the (22)nd term, add (21d).

Step 2

Why this answer is correct

The correct answer is B. (148). Here (d=7), so $a_{22}=1+21\times7=148$. For the (22)nd term, add (21d).

Step 3

Exam Tip

यहाँ (d=7) है इसलिए $a_{22}=1+21\times7=148$। (22)वें पद के लिए (21d) जोड़ें।

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

यदि (a=60) और (d=-6) है तो (9)वाँ पद क्या होगा?

If (a=60) and (d=-6), what is the (9)th term?

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

(a_9=60+8(-6)=12). First calculate (8d), then add it to the first term.

Step 2

Why this answer is correct

The correct answer is B. (12). (a_9=60+8(-6)=12). First calculate (8d), then add it to the first term.

Step 3

Exam Tip

(a_9=60+8(-6)=12)। पहले (8d) निकालें फिर प्रथम पद में जोड़ें।

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

एपी $-8,-3,2,7,\ldots$ का (11)वाँ पद ज्ञात करें।

Find the (11)th term of the AP $-8,-3,2,7,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (42)

Step 1

Concept

Here (d=5), so $a_{11}=-8+10\times5=42$. The formula remains the same even with a negative start.

Step 2

Why this answer is correct

The correct answer is B. (42). Here (d=5), so $a_{11}=-8+10\times5=42$. The formula remains the same even with a negative start.

Step 3

Exam Tip

यहाँ (d=5) है इसलिए $a_{11}=-8+10\times5=42$। ऋणात्मक शुरुआत के बाद भी सूत्र वही रहता है।

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

एपी $17,24,31,38,\ldots$ का (6)वाँ पद क्या होगा?

What is the (6)th term of the AP $17,24,31,38,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (52)

Step 1

Concept

Here (d=7), so $a_6=17+5\times7=52$. The (6)th term has (5) differences.

Step 2

Why this answer is correct

The correct answer is B. (52). Here (d=7), so $a_6=17+5\times7=52$. The (6)th term has (5) differences.

Step 3

Exam Tip

यहाँ (d=7) है इसलिए $a_6=17+5\times7=52$। (6)वें पद में (5) अंतर होते हैं।

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

यदि (a=9), (d=6) और (n=13) है तो $a_n$ ज्ञात करें।

If (a=9), (d=6), and (n=13), find $a_n$.

Explanation opens after your attempt

Correct Answer

C. (81)

Step 1

Concept

$a_{13}=9+12\times6=81$. Use (n-1=12).

Step 2

Why this answer is correct

The correct answer is C. (81). $a_{13}=9+12\times6=81$. Use (n-1=12).

Step 3

Exam Tip

$a_{13}=9+12\times6=81$। (n-1=12) का उपयोग करें।

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

एपी $24,21,18,15,\ldots$ का (19)वाँ पद क्या है?

What is the (19)th term of the AP $24,21,18,15,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (-30)

Step 1

Concept

Here (d=-3), so (a_{19}=24+18(-3)=-30). For the (19)th term, (18d) is added.

Step 2

Why this answer is correct

The correct answer is A. (-30). Here (d=-3), so (a_{19}=24+18(-3)=-30). For the (19)th term, (18d) is added.

Step 3

Exam Tip

यहाँ (d=-3) है इसलिए (a_{19}=24+18(-3)=-30)। (19)वें पद के लिए (18d) जुड़ता 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

एपी $\frac{3}{2},\frac{5}{2},\frac{7}{2},\frac{9}{2},\ldots$ का (8)वाँ पद क्या है?

What is the (8)th term of the AP $\frac{3}{2},\frac{5}{2},\frac{7}{2},\frac{9}{2},\ldots$?

Explanation opens after your attempt

Correct Answer

B. $\frac{17}{2}$

Step 1

Concept

Here $a=\frac{3}{2}$ and (d=1), so $a_8=\frac{17}{2}$. Watch the denominator carefully in fractional terms.

Step 2

Why this answer is correct

The correct answer is B. $\frac{17}{2}$. Here $a=\frac{3}{2}$ and (d=1), so $a_8=\frac{17}{2}$. Watch the denominator carefully in fractional terms.

Step 3

Exam Tip

यहाँ $a=\frac{3}{2}$ और (d=1) है इसलिए $a_8=\frac{17}{2}$। भिन्न वाले पदों में हर को ध्यान से देखें।

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

एपी $12,20,28,36,\ldots$ का (14)वाँ पद ज्ञात करें।

Find the (14)th term of the AP $12,20,28,36,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (116)

Step 1

Concept

Here (d=8), so $a_{14}=12+13\times8=116$. Adding (13d) is correct.

Step 2

Why this answer is correct

The correct answer is C. (116). Here (d=8), so $a_{14}=12+13\times8=116$. Adding (13d) is correct.

Step 3

Exam Tip

यहाँ (d=8) है इसलिए $a_{14}=12+13\times8=116$। (13d) जोड़ना सही है।

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

यदि $a_4=18$ और (d=3) है तो (9)वाँ पद क्या होगा?

If $a_4=18$ and (d=3), what is the (9)th term?

Explanation opens after your attempt

Correct Answer

D. (33)

Step 1

Concept

The (9)th term is (5d) after the (4)th term, so (18+15=33). Moving forward from the given term is quick.

Step 2

Why this answer is correct

The correct answer is D. (33). The (9)th term is (5d) after the (4)th term, so (18+15=33). Moving forward from the given term is quick.

Step 3

Exam Tip

(9)वाँ पद (4)वें पद से (5d) आगे है इसलिए (18+15=33)। दिए हुए पद से आगे बढ़ना तेज तरीका है।

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

एपी $21,19,17,15,\ldots$ का (16)वाँ पद क्या है?

What is the (16)th term of the AP $21,19,17,15,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (-9)

Step 1

Concept

Here (d=-2), so (a_{16}=21+15(-2)=-9). Up to the (16)th term, the difference is added (15) times.

Step 2

Why this answer is correct

The correct answer is A. (-9). Here (d=-2), so (a_{16}=21+15(-2)=-9). Up to the (16)th term, the difference is added (15) times.

Step 3

Exam Tip

यहाँ (d=-2) है इसलिए (a_{16}=21+15(-2)=-9)। (16)वें पद तक (15) 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 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

एपी $5,10,15,20,\ldots$ का (30)वाँ पद ज्ञात कीजिए।

Find the (30)th term of the AP $5,10,15,20,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (150)

Step 1

Concept

Here (a=5) and (d=5), so $a_{30}=5+29\times5=150$. The formula works quickly for APs with equal multiples.

Step 2

Why this answer is correct

The correct answer is B. (150). Here (a=5) and (d=5), so $a_{30}=5+29\times5=150$. The formula works quickly for APs with equal multiples.

Step 3

Exam Tip

यहाँ (a=5) और (d=5) है इसलिए $a_{30}=5+29\times5=150$। समान गुणकों वाली एपी में सूत्र जल्दी काम करता है।

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

एपी $16,12,8,4,\ldots$ का (10)वाँ पद क्या है?

What is the (10)th term of the AP $16,12,8,4,\ldots$?

Explanation opens after your attempt

Correct Answer

A. (-20)

Step 1

Concept

Here (d=-4), so (a_{10}=16+9(-4)=-20). In decreasing order, the answer can be negative.

Step 2

Why this answer is correct

The correct answer is A. (-20). Here (d=-4), so (a_{10}=16+9(-4)=-20). In decreasing order, the answer can be negative.

Step 3

Exam Tip

यहाँ (d=-4) है इसलिए (a_{10}=16+9(-4)=-20)। घटते क्रम में उत्तर ऋणात्मक भी हो सकता है।

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

यदि (a=1) और (d=11) है तो (9)वाँ पद क्या होगा?

If (a=1) and (d=11), what is the (9)th term?

Explanation opens after your attempt

Correct Answer

C. (89)

Step 1

Concept

$a_9=1+8\times11=89$. For the (9)th term, (8) differences are added.

Step 2

Why this answer is correct

The correct answer is C. (89). $a_9=1+8\times11=89$. For the (9)th term, (8) differences are added.

Step 3

Exam Tip

$a_9=1+8\times11=89$। (9)वें पद के लिए (8) अंतर जुड़ते हैं।

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

एपी $2,9,16,23,\ldots$ में (13)वाँ पद क्या होगा?

What is the (13)th term in the AP $2,9,16,23,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (86)

Step 1

Concept

Here (d=7), so $a_{13}=2+12\times7=86$. Add (12d) for the correct term number.

Step 2

Why this answer is correct

The correct answer is C. (86). Here (d=7), so $a_{13}=2+12\times7=86$. Add (12d) for the correct term number.

Step 3

Exam Tip

यहाँ (d=7) है इसलिए $a_{13}=2+12\times7=86$। सही पद संख्या के लिए (12d) जोड़ें।

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

एपी $40,36,32,28,\ldots$ का (15)वाँ पद ज्ञात करें।

Find the (15)th term of the AP $40,36,32,28,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (-16)

Step 1

Concept

Here (d=-4), so (a_{15}=40+14(-4)=-16). The common difference is added (14) times.

Step 2

Why this answer is correct

The correct answer is C. (-16). Here (d=-4), so (a_{15}=40+14(-4)=-16). The common difference is added (14) times.

Step 3

Exam Tip

यहाँ (d=-4) है इसलिए (a_{15}=40+14(-4)=-16)। (14) बार सार्व अंतर जोड़ना 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 (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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ब्रिटेन की लड़ाई में जर्मन लक्ष्य परिवर्तन का दीर्घकालीन प्रभाव क्या था?

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ब्रिटेन की लड़ाई में जर्मन लक्ष्य बदलना क्यों समस्या बना?

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समांतर श्रेणी \(22,25,28,\ldots\) के पहले (14) पदों का योग ज्ञात कीजिए।

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Exam Tip

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Exam Tip

यदि (S_n=\frac{n}{2}(a+l)), (a=14), (l=84), और (n=15) है, तो योग ज्ञात कीजिए।

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यदि किसी समांतर श्रेणी में \(S_5=65\) और \(S_{11}=242\) है, तो छठे से ग्यारहवें पदों का योग कितना है?

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Concept

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Exam Tip

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