Class 10 nth term MCQ Questions

Question 121/254 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)

Explanation

Simple Explanation

(a_{30}=5+29(-1)=-24)। (30)वें पद के लिए (29d) जोड़ना है। / (a_{30}=5+29(-1)=-24). For the (30)th term, add (29d).

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Question 122/254 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)

Explanation

Simple Explanation

यहाँ (d=3) है इसलिए $a_{22}=31+21\times3=94$। (22)वें पद में (21) अंतर जुड़ते हैं। / Here (d=3), so $a_{22}=31+21\times3=94$. The (22)nd term includes (21) differences.

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Question 123/254 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. $\frac{21}{4}$

Explanation

Simple Explanation

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

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Question 124/254 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)

Explanation

Simple Explanation

$a_{11}=0+10\times11=110$। प्रथम पद (0) होने पर भी (n-1) ही लेते हैं। / $a_{11}=0+10\times11=110$. Even when the first term is (0), use (n-1).

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Question 125/254 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)

Explanation

Simple Explanation

यहाँ (d=-10) है इसलिए (a_{16}=200+15(-10)=50)। बड़े पदों में भी चिह्न पर ध्यान दें। / Here (d=-10), so (a_{16}=200+15(-10)=50). Watch the sign even with large terms.

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Question 126/254 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)

Explanation

Simple Explanation

(10)वाँ पद (4)थे पद से (6d) आगे है इसलिए (21+36=57)। पद संख्या का अंतर सीधे उपयोग करें। / The (10)th term is (6d) after the (4)th term, so (21+36=57). Use the difference in term numbers directly.

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Question 127/254 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)

Explanation

Simple Explanation

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

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Question 128/254 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)

Explanation

Simple Explanation

यहाँ (d=-4) है इसलिए (a_{18}=64+17(-4)=-4)। (17) बार ऋणात्मक अंतर जोड़ें। / Here (d=-4), so (a_{18}=64+17(-4)=-4). Add the negative difference (17) times.

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Question 129/254 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)

Explanation

Simple Explanation

(13)वाँ पद (6)वें पद से (7d) आगे है इसलिए (38+35=73)। दिए पद से आगे का अंतर सही गिनें। / The (13)th term is (7d) after the (6)th term, so (38+35=73). Count the forward gap correctly.

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Question 130/254 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)

Explanation

Simple Explanation

यहाँ (a=1.5) और (d=1.5) है इसलिए $a_8=12.0$। दशमलव में भी वही सूत्र लागू होता है। / Here (a=1.5) and (d=1.5), so $a_8=12.0$. The same formula applies to decimals too.

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Question 131/254 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)

Explanation

Simple Explanation

यहाँ (d=8) है इसलिए $a_{19}=11+18\times8=155$। (19)वें पद के लिए (18d) जोड़ें। / Here (d=8), so $a_{19}=11+18\times8=155$. For the (19)th term, add (18d).

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Question 132/254 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)

Explanation

Simple Explanation

(a_6=18+5(-7)=-17)। घटती एपी में उत्तर ऋणात्मक भी हो सकता है। / (a_6=18+5(-7)=-17). In a decreasing AP, the answer can be negative.

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Question 133/254 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)

Explanation

Simple Explanation

यहाँ (d=5) है इसलिए $a_{15}=-20+14\times5=50$। ऋणात्मक शुरुआत से भ्रमित न हों। / Here (d=5), so $a_{15}=-20+14\times5=50$. Do not get confused by the negative start.

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Question 134/254 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)

Explanation

Simple Explanation

यहाँ (d=10) है इसलिए $a_{12}=13+11\times10=123$। (12)वें पद में (11) सार्व अंतर जुड़ते हैं। / Here (d=10), so $a_{12}=13+11\times10=123$. The (12)th term includes (11) common differences.

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Question 135/254 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)

Explanation

Simple Explanation

(8)वाँ पद (3)रे पद से (5d) आगे है इसलिए (16+35=51)। पदों के बीच का अंतर गिनें। / The (8)th term is (5d) after the (3)rd term, so (16+35=51). Count the gap between terms.

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Question 136/254 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)

Explanation

Simple Explanation

यहाँ (d=-3) है इसलिए (a_{25}=100+24(-3)=28)। (25)वें पद तक (24) अंतर जुड़ते हैं। / Here (d=-3), so (a_{25}=100+24(-3)=28). Up to the (25)th term, (24) differences are added.

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Question 137/254 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)

Explanation

Simple Explanation

$a_8=7+7\times12=91$। (n=8) होने पर (7d) जुड़ता है। / $a_8=7+7\times12=91$. When (n=8), (7d) is added.

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Question 138/254 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)

Explanation

Simple Explanation

यहाँ (d=-3) है इसलिए (a_{20}=55+19(-3)=-2)। (20)वें पद के लिए (19d) जोड़ें। / Here (d=-3), so (a_{20}=55+19(-3)=-2). For the (20)th term, add (19d).

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Question 139/254 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)

Explanation

Simple Explanation

यहाँ (d=6) है इसलिए $a_{10}=25+9\times6=79$। (10)वें पद में (9) अंतर होते हैं। / Here (d=6), so $a_{10}=25+9\times6=79$. The (10)th term has (9) differences.

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Question 140/254 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)

Explanation

Simple Explanation

$a_{16}=-12+15\times5=63$। पहले (15d) निकालें फिर प्रथम पद जोड़ें। / $a_{16}=-12+15\times5=63$. First calculate (15d), then add the first term.

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Question 141/254 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)

Explanation

Simple Explanation

यहाँ (d=9) है इसलिए $a_{18}=2+17\times9=155$। बड़ी पद संख्या में भी वही सूत्र लगाएं। / Here (d=9), so $a_{18}=2+17\times9=155$. Use the same formula even for a large term number.

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Question 142/254 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)

Explanation

Simple Explanation

यहाँ (d=-8) है इसलिए (a_9=90+8(-8)=26)। सार्व अंतर का चिह्न सही रखें। / Here (d=-8), so (a_9=90+8(-8)=26). Keep the sign of the common difference correct.

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Question 143/254 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)

Explanation

Simple Explanation

(11)वाँ पद (5)वें पद से (6d) आगे है इसलिए (27+24=51)। दिए पद से आगे बढ़ना तेज तरीका है। / The (11)th term is (6d) after the (5)th term, so (27+24=51). Moving ahead from the given term is quick.

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Question 144/254 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)

Explanation

Simple Explanation

यहाँ $a=\frac{1}{3}$ और $d=\frac{1}{3}$ है इसलिए $a_{12}=4$। भिन्नों में हर समान रखें। / Here $a=\frac{1}{3}$ and $d=\frac{1}{3}$, so $a_{12}=4$. Keep denominators common in fractions.

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Question 145/254 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)

Explanation

Simple Explanation

यहाँ (d=7) है इसलिए $a_{17}=15+16\times7=127$। (17)वें पद के लिए (16) अंतर जोड़ें। / Here (d=7), so $a_{17}=15+16\times7=127$. For the (17)th term, add (16) differences.

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Question 146/254 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)

Explanation

Simple Explanation

(a_{14}=80+13(-5)=15)। ऋणात्मक (d) को कोष्ठक में लिखें। / (a_{14}=80+13(-5)=15). Write negative (d) in brackets.

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Question 147/254 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)

Explanation

Simple Explanation

यहाँ (a=4) और (d=8) है इसलिए $a_{15}=4+14\times8=116$। (n-1) को सही रखें। / Here (a=4) and (d=8), so $a_{15}=4+14\times8=116$. Keep (n-1) correct.

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Question 148/254 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)

Explanation

Simple Explanation

$a_7=9+6\times10=69$। (7)वें पद के लिए (6d) जोड़ना होता है। / $a_7=9+6\times10=69$. For the (7)th term, (6d) is added.

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Question 149/254 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)

Explanation

Simple Explanation

यहाँ (d=-6) है इसलिए (a_8=72+7(-6)=30)। (8)वें पद के लिए (7d) जोड़ें। / Here (d=-6), so (a_8=72+7(-6)=30). For the (8)th term, add (7d).

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Question 150/254 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)

Explanation

Simple Explanation

यहाँ (d=6) है इसलिए $a_{13}=-4+12\times6=68$। ऋणात्मक प्रथम पद के साथ जोड़ सावधानी से करें। / Here (d=6), so $a_{13}=-4+12\times6=68$. Add carefully when the first term is negative.

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nth_term MCQ Questions for Class 10

Practice Questions

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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