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Mathematics Quiz - Class 10 Mathematics Easy Level 66 Quiz

Question 1/50 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 2/50 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 3/50 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 4/50 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 5/50 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 6/50 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 7/50 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 8/50 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 9/50 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 10/50 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 11/50 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 12/50 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 13/50 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 14/50 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 15/50 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 16/50 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 17/50 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 18/50 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 19/50 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 20/50 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 21/50 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 22/50 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 23/50 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 24/50 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 25/50 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 26/50 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 27/50 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 28/50 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 29/50 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 30/50 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 31/50 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 32/50 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 33/50 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 34/50 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 35/50 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 36/50 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 37/50 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 38/50 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 39/50 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 40/50 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 41/50 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 42/50 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 43/50 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 44/50 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 45/50 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 46/50 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 47/50 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 48/50 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 49/50 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 50/50 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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Class 10 Mathematics Easy Quiz

यदि किसी एपी में (a=14), (d=3) और (n=11) है तो \(a_n\) क्या होगा?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct