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Mathematics Quiz - Class 10 Mathematics Easy Level 65 Quiz

Question 1/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

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

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

Explanation opens after your attempt

Correct Answer

C. (26)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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Question 2/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $2,6,10,14,\ldots$ का (12)वाँ पद ज्ञात कीजिए।

Find the (12)th term of the AP $2,6,10,14,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (46)

Step 1

Concept

Here (a=2) and (d=4), so $a_{12}=2+11\times4=46$. First find the common difference.

Step 2

Why this answer is correct

The correct answer is B. (46). Here (a=2) and (d=4), so $a_{12}=2+11\times4=46$. First find the common difference.

Step 3

Exam Tip

यहाँ (a=2) और (d=4) है इसलिए $a_{12}=2+11\times4=46$। पहले सार्व अंतर निकालें।

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Question 3/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $7,11,15,19,\ldots$ में (10)वाँ पद क्या है?

What is the (10)th term in the AP $7,11,15,19,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

Here (d=4), so $a_{10}=7+9\times4=43$. Multiply by one less than the term number.

Step 2

Why this answer is correct

The correct answer is C. (43). Here (d=4), so $a_{10}=7+9\times4=43$. Multiply by one less than the term number.

Step 3

Exam Tip

यहाँ (d=4) है इसलिए $a_{10}=7+9\times4=43$। पद संख्या से (1) घटाकर गुणा करें।

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Question 4/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि (a=12), (d=5) और (n=6) हो तो $a_n$ का मान क्या होगा?

If (a=12), (d=5), and (n=6), what is the value of $a_n$?

Explanation opens after your attempt

Correct Answer

C. (37)

Step 1

Concept

(a_n=12+(6-1)\times5=37). Substituting values directly reduces mistakes.

Step 2

Why this answer is correct

The correct answer is C. (37). (a_n=12+(6-1)\times5=37). Substituting values directly reduces mistakes.

Step 3

Exam Tip

(a_n=12+(6-1)\times5=37)। सूत्र में सीधे मान रखने से गलती कम होती है।

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Question 5/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $20,18,16,14,\ldots$ का (9)वाँ पद क्या होगा?

What is the (9)th term of the AP $20,18,16,14,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

Here (d=-2), so (a_9=20+8(-2)=4). In a decreasing AP, (d) is negative.

Step 2

Why this answer is correct

The correct answer is B. (4). Here (d=-2), so (a_9=20+8(-2)=4). In a decreasing AP, (d) is negative.

Step 3

Exam Tip

यहाँ (d=-2) है इसलिए (a_9=20+8(-2)=4)। घटती एपी में (d) ऋणात्मक होता है।

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Question 6/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $-3,1,5,9,\ldots$ का (7)वाँ पद ज्ञात करें।

Find the (7)th term of the AP $-3,1,5,9,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (21)

Step 1

Concept

Here (a=-3) and (d=4), so $a_7=-3+6\times4=21$. Be careful with a negative first term.

Step 2

Why this answer is correct

The correct answer is C. (21). Here (a=-3) and (d=4), so $a_7=-3+6\times4=21$. Be careful with a negative first term.

Step 3

Exam Tip

यहाँ (a=-3) और (d=4) है इसलिए $a_7=-3+6\times4=21$। ऋणात्मक प्रथम पद से सावधानी रखें।

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Question 7/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $9,6,3,0,\ldots$ में (11)वाँ पद क्या है?

What is the (11)th term in the AP $9,6,3,0,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (-21)

Step 1

Concept

Here (d=-3), so (a_{11}=9+10(-3)=-21). Keep the negative sign correct.

Step 2

Why this answer is correct

The correct answer is B. (-21). Here (d=-3), so (a_{11}=9+10(-3)=-21). Keep the negative sign correct.

Step 3

Exam Tip

यहाँ (d=-3) है इसलिए (a_{11}=9+10(-3)=-21)। ऋण चिह्न को सही रखें।

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Question 8/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि किसी एपी का (a=4) और (d=7) है तो (5)वाँ पद क्या होगा?

If an AP has (a=4) and (d=7), what is its (5)th term?

Explanation opens after your attempt

Correct Answer

C. (32)

Step 1

Concept

$a_5=4+4\times7=32$. For the (5)th term, add (4d).

Step 2

Why this answer is correct

The correct answer is C. (32). $a_5=4+4\times7=32$. For the (5)th term, add (4d).

Step 3

Exam Tip

$a_5=4+4\times7=32$। (5)वें पद के लिए (4d) जोड़ते हैं।

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Question 9/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $1,4,7,10,\ldots$ का (15)वाँ पद क्या है?

What is the (15)th term of the AP $1,4,7,10,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

Here (a=1) and (d=3), so $a_{15}=1+14\times3=43$. Taking one less than the term number is necessary.

Step 2

Why this answer is correct

The correct answer is C. (43). Here (a=1) and (d=3), so $a_{15}=1+14\times3=43$. Taking one less than the term number is necessary.

Step 3

Exam Tip

यहाँ (a=1) और (d=3) है इसलिए $a_{15}=1+14\times3=43$। क्रमांक से (1) कम लेना जरूरी है।

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Question 10/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $30,25,20,15,\ldots$ का (6)वाँ पद ज्ञात करें।

Find the (6)th term of the AP $30,25,20,15,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

Here (d=-5), so (a_6=30+5(-5)=5). Take the common difference as negative in decreasing order.

Step 2

Why this answer is correct

The correct answer is B. (5). Here (d=-5), so (a_6=30+5(-5)=5). Take the common difference as negative in decreasing order.

Step 3

Exam Tip

यहाँ (d=-5) है इसलिए (a_6=30+5(-5)=5)। घटते क्रम में सार्व अंतर ऋणात्मक लें।

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Question 11/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि $a_1=8$ और (d=2) है तो (20)वाँ पद क्या होगा?

If $a_1=8$ and (d=2), what is the (20)th term?

Explanation opens after your attempt

Correct Answer

B. (46)

Step 1

Concept

$a_{20}=8+19\times2=46$. $a_1$ is the first term.

Step 2

Why this answer is correct

The correct answer is B. (46). $a_{20}=8+19\times2=46$. $a_1$ is the first term.

Step 3

Exam Tip

$a_{20}=8+19\times2=46$। $a_1$ ही प्रथम पद होता है।

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Question 12/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $13,17,21,25,\ldots$ का (9)वाँ पद क्या होगा?

What is the (9)th term of the AP $13,17,21,25,\ldots$?

Explanation opens after your attempt

Correct Answer

C. (45)

Step 1

Concept

Here (d=4), so $a_9=13+8\times4=45$. Check the difference between the first two terms.

Step 2

Why this answer is correct

The correct answer is C. (45). Here (d=4), so $a_9=13+8\times4=45$. Check the difference between the first two terms.

Step 3

Exam Tip

यहाँ (d=4) है इसलिए $a_9=13+8\times4=45$। पहले दो पदों का अंतर जांचें।

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Question 13/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $-10,-7,-4,-1,\ldots$ में (14)वाँ पद क्या है?

What is the (14)th term in the AP $-10,-7,-4,-1,\ldots$?

Explanation opens after your attempt

Correct Answer

D. (29)

Step 1

Concept

Here (d=3), so $a_{14}=-10+13\times3=29$. Add carefully with a negative (a).

Step 2

Why this answer is correct

The correct answer is D. (29). Here (d=3), so $a_{14}=-10+13\times3=29$. Add carefully with a negative (a).

Step 3

Exam Tip

यहाँ (d=3) है इसलिए $a_{14}=-10+13\times3=29$। ऋणात्मक (a) के साथ जोड़ सही करें।

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Question 14/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

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

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

Explanation opens after your attempt

Correct Answer

A. (-13)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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Question 15/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $6,13,20,27,\ldots$ का (10)वाँ पद ज्ञात कीजिए।

Find the (10)th term of the AP $6,13,20,27,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (69)

Step 1

Concept

Here (d=7), so $a_{10}=6+9\times7=69$. For the (10)th term, add (9d).

Step 2

Why this answer is correct

The correct answer is B. (69). Here (d=7), so $a_{10}=6+9\times7=69$. For the (10)th term, add (9d).

Step 3

Exam Tip

यहाँ (d=7) है इसलिए $a_{10}=6+9\times7=69$। (10)वें पद के लिए (9d) जोड़ें।

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Question 16/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $100,90,80,70,\ldots$ का (12)वाँ पद क्या है?

What is the (12)th term of the AP $100,90,80,70,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (-10)

Step 1

Concept

Here (d=-10), so (a_{12}=100+11(-10)=-10). The same formula works for large differences too.

Step 2

Why this answer is correct

The correct answer is B. (-10). Here (d=-10), so (a_{12}=100+11(-10)=-10). The same formula works for large differences too.

Step 3

Exam Tip

यहाँ (d=-10) है इसलिए (a_{12}=100+11(-10)=-10)। बड़े अंतर में भी वही सूत्र लगता है।

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Question 17/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि (a=3) और (d=9) हो तो (7)वाँ पद क्या होगा?

If (a=3) and (d=9), what is the (7)th term?

Explanation opens after your attempt

Correct Answer

C. (57)

Step 1

Concept

$a_7=3+6\times9=57$. When (n=7), (6d) is added.

Step 2

Why this answer is correct

The correct answer is C. (57). $a_7=3+6\times9=57$. When (n=7), (6d) is added.

Step 3

Exam Tip

$a_7=3+6\times9=57$। (n) की जगह (7) रखने पर (6d) जुड़ता है।

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Question 18/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $11,14,17,20,\ldots$ में (18)वाँ पद क्या होगा?

What is the (18)th term in the AP $11,14,17,20,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (62)

Step 1

Concept

Here (d=3), so $a_{18}=11+17\times3=62$. Use (n-1) even for a larger term number.

Step 2

Why this answer is correct

The correct answer is B. (62). Here (d=3), so $a_{18}=11+17\times3=62$. Use (n-1) even for a larger term number.

Step 3

Exam Tip

यहाँ (d=3) है इसलिए $a_{18}=11+17\times3=62$। लंबी पद संख्या में भी (n-1) का उपयोग करें।

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Question 19/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $50,47,44,41,\ldots$ का (13)वाँ पद ज्ञात करें।

Find the (13)th term of the AP $50,47,44,41,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (14)

Step 1

Concept

Here (d=-3), so (a_{13}=50+12(-3)=14). In a decreasing AP, terms keep getting smaller.

Step 2

Why this answer is correct

The correct answer is B. (14). Here (d=-3), so (a_{13}=50+12(-3)=14). In a decreasing AP, terms keep getting smaller.

Step 3

Exam Tip

यहाँ (d=-3) है इसलिए (a_{13}=50+12(-3)=14)। घटती एपी में पद छोटे होते जाते हैं।

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Question 20/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि एपी $4,9,14,19,\ldots$ है तो (16)वाँ पद क्या होगा?

If the AP is $4,9,14,19,\ldots$, what is the (16)th term?

Explanation opens after your attempt

Correct Answer

C. (79)

Step 1

Concept

Here (d=5), so $a_{16}=4+15\times5=79$. For the (16)th term, add (15d).

Step 2

Why this answer is correct

The correct answer is C. (79). Here (d=5), so $a_{16}=4+15\times5=79$. For the (16)th term, add (15d).

Step 3

Exam Tip

यहाँ (d=5) है इसलिए $a_{16}=4+15\times5=79$। (16)वें पद के लिए (15d) जोड़ें।

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Question 21/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $0,5,10,15,\ldots$ का (21)वाँ पद क्या है?

What is the (21)st term of the AP $0,5,10,15,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (100)

Step 1

Concept

Here (a=0) and (d=5), so $a_{21}=0+20\times5=100$. The first term can be (0).

Step 2

Why this answer is correct

The correct answer is B. (100). Here (a=0) and (d=5), so $a_{21}=0+20\times5=100$. The first term can be (0).

Step 3

Exam Tip

यहाँ (a=0) और (d=5) है इसलिए $a_{21}=0+20\times5=100$। प्रथम पद (0) हो सकता है।

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Question 22/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $\frac{1}{2},1,\frac{3}{2},2,\ldots$ का (10)वाँ पद ज्ञात करें।

Find the (10)th term of the AP $\frac{1}{2},1,\frac{3}{2},2,\ldots$.

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

Here $a=\frac{1}{2}$ and $d=\frac{1}{2}$, so $a_{10}=5$. Use a common denominator while adding fractions.

Step 2

Why this answer is correct

The correct answer is C. (5). Here $a=\frac{1}{2}$ and $d=\frac{1}{2}$, so $a_{10}=5$. Use a common denominator while adding fractions.

Step 3

Exam Tip

यहाँ $a=\frac{1}{2}$ और $d=\frac{1}{2}$ है इसलिए $a_{10}=5$। भिन्नों में हर समान रखकर जोड़ें।

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Question 23/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $3,3,3,3,\ldots$ का (25)वाँ पद क्या होगा?

What is the (25)th term of the AP $3,3,3,3,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (3)

Step 1

Concept

Here (d=0), so every term remains (3). In a constant AP, $a_n=a$.

Step 2

Why this answer is correct

The correct answer is B. (3). Here (d=0), so every term remains (3). In a constant AP, $a_n=a$.

Step 3

Exam Tip

यहाँ (d=0) है इसलिए हर पद (3) रहेगा। समान पदों वाली एपी में $a_n=a$ होता है।

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Question 24/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

यदि (a=25), (d=-2) और (n=17) हो तो $a_n$ क्या है?

If (a=25), (d=-2), and (n=17), what is $a_n$?

Explanation opens after your attempt

Correct Answer

B. (-7)

Step 1

Concept

(a_{17}=25+16(-2)=-7). Multiply the negative common difference carefully.

Step 2

Why this answer is correct

The correct answer is B. (-7). (a_{17}=25+16(-2)=-7). Multiply the negative common difference carefully.

Step 3

Exam Tip

(a_{17}=25+16(-2)=-7)। ऋणात्मक सार्व अंतर को सही से गुणा करें।

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Question 25/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $8,15,22,29,\ldots$ का (11)वाँ पद क्या होगा?

What is the (11)th term of the AP $8,15,22,29,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (78)

Step 1

Concept

Here (d=7), so $a_{11}=8+10\times7=78$. Start from the first term and add (10) differences.

Step 2

Why this answer is correct

The correct answer is B. (78). Here (d=7), so $a_{11}=8+10\times7=78$. Start from the first term and add (10) differences.

Step 3

Exam Tip

यहाँ (d=7) है इसलिए $a_{11}=8+10\times7=78$। पहले पद से शुरू करके (10) अंतर जोड़ें।

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Question 26/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $18,23,28,33,\ldots$ में (8)वाँ पद ज्ञात करें।

Find the (8)th term in the AP $18,23,28,33,\ldots$.

Explanation opens after your attempt

Correct Answer

B. (53)

Step 1

Concept

Here (d=5), so $a_8=18+7\times5=53$. The (8)th term includes (7) differences.

Step 2

Why this answer is correct

The correct answer is B. (53). Here (d=5), so $a_8=18+7\times5=53$. The (8)th term includes (7) differences.

Step 3

Exam Tip

यहाँ (d=5) है इसलिए $a_8=18+7\times5=53$। (8)वें पद में (7) अंतर शामिल होते हैं।

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Question 27/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

एपी $-5,-2,1,4,\ldots$ का (20)वाँ पद क्या है?

What is the (20)th term of the AP $-5,-2,1,4,\ldots$?

Explanation opens after your attempt

Correct Answer

B. (52)

Step 1

Concept

Here (d=3), so $a_{20}=-5+19\times3=52$. Subtract the negative first term effect carefully.

Step 2

Why this answer is correct

The correct answer is B. (52). Here (d=3), so $a_{20}=-5+19\times3=52$. Subtract the negative first term effect carefully.

Step 3

Exam Tip

यहाँ (d=3) है इसलिए $a_{20}=-5+19\times3=52$। ऋणात्मक प्रथम पद को अंत में घटाएं।

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Question 28/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

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

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

Explanation opens after your attempt

Correct Answer

C. (43)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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Question 29/50 Easy Mathematics Arithmetic Progressions (AP) Finding the $n$th term of an AP Class 10 Level 65

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

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

Explanation opens after your attempt

Correct Answer

D. (40)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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Question 30/50 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 31/50 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 32/50 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 33/50 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 34/50 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 35/50 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 36/50 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 37/50 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 38/50 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 39/50 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 40/50 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 41/50 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 42/50 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 43/50 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 44/50 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 45/50 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 46/50 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 47/50 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 48/50 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 49/50 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 50/50 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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Class 10 Mathematics Easy Quiz

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

Concept

Why this answer is correct

Exam Tip

एपी \(2,6,10,14,\ldots\) का (12)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

एपी \(7,11,15,19,\ldots\) में (10)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (a=12), (d=5) और (n=6) हो तो \(a_n\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

एपी \(20,18,16,14,\ldots\) का (9)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

एपी \(-3,1,5,9,\ldots\) का (7)वाँ पद ज्ञात करें।

Concept

Why this answer is correct

Exam Tip

एपी \(9,6,3,0,\ldots\) में (11)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

यदि किसी एपी का (a=4) और (d=7) है तो (5)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

एपी \(1,4,7,10,\ldots\) का (15)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

एपी \(30,25,20,15,\ldots\) का (6)वाँ पद ज्ञात करें।

Concept

Why this answer is correct

Exam Tip

यदि \(a_1=8\) और (d=2) है तो (20)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

एपी \(13,17,21,25,\ldots\) का (9)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

एपी \(-10,-7,-4,-1,\ldots\) में (14)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

एपी \(6,13,20,27,\ldots\) का (10)वाँ पद ज्ञात कीजिए।

Concept

Why this answer is correct

Exam Tip

एपी \(100,90,80,70,\ldots\) का (12)वाँ पद क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (a=3) और (d=9) हो तो (7)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

एपी \(11,14,17,20,\ldots\) में (18)वाँ पद क्या होगा?

Concept

Why this answer is correct

Exam Tip

एपी \(50,47,44,41,\ldots\) का (13)वाँ पद ज्ञात करें।

Concept

Why this answer is correct

Exam Tip

यदि एपी \(4,9,14,19,\ldots\) है तो (16)वाँ पद क्या होगा?

Concept

Why this answer is correct