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Mathematics Quiz - Class 10 Mathematics Arithmetic...

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)

Explanation

Simple Explanation

(a_n=a+(n-1)d) से $a_{11}=14+10\times3=44$। परीक्षा में पहले (n-1) निकालें। / Using (a_n=a+(n-1)d), $a_{11}=14+10\times3=44$. In exams, first find (n-1).

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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)

Explanation

Simple Explanation

यहाँ (a=3) और (d=5) है इसलिए $a_9=3+8\times5=43$। पहले सार्व अंतर पहचानें। / Here (a=3) and (d=5), so $a_9=3+8\times5=43$. First identify the common difference.

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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)

Explanation

Simple Explanation

यहाँ (d=-4) है इसलिए (a_{10}=45+9(-4)=9)। घटती एपी में (d) ऋणात्मक लें। / Here (d=-4), so (a_{10}=45+9(-4)=9). In a decreasing AP, take (d) as negative.

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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)

Explanation

Simple Explanation

$a_{12}=6+11\times8=94$। (12)वें पद तक (11) अंतर जुड़ते हैं। / $a_{12}=6+11\times8=94$. Up to the (12)th term, (11) differences are added.

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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)

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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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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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)

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 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. $\frac{21}{4}$

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 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)

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 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)

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 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)

Explanation

Simple Explanation

यहाँ (d=10) है इसलिए $a_9=18+8\times10=98$। (9)वें पद तक (8) अंतर जुड़ते हैं। / Here (d=10), so $a_9=18+8\times10=98$. Up to the (9)th term, (8) differences are added.

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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)

Explanation

Simple Explanation

(7)वाँ पद (2)रे पद से (5d) आगे है इसलिए (12+45=57)। दिए पद से आगे बढ़कर हल करें। / The (7)th term is (5d) after the (2)nd term, so (12+45=57). Solve by moving forward from the given term.

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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)

Explanation

Simple Explanation

यहाँ (d=-6) है इसलिए (a_{11}=48+10(-6)=-12)। (11)वें पद के लिए (10d) जोड़ें। / Here (d=-6), so (a_{11}=48+10(-6)=-12). For the (11)th term, add (10d).

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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)

Explanation

Simple Explanation

$a_{10}=2.5+9\times2.5=25.0$। दशमलव को सामान्य संख्या की तरह रखें। / $a_{10}=2.5+9\times2.5=25.0$. Treat decimals like ordinary numbers.

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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)

Explanation

Simple Explanation

यहाँ (d=9) है इसलिए $a_{21}=7+20\times9=187$। (21)वें पद तक (20) अंतर जुड़ते हैं। / Here (d=9), so $a_{21}=7+20\times9=187$. Up to the (21)st term, (20) differences are added.

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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)

Explanation

Simple Explanation

(12)वाँ पद (8)वें पद से (4d) आगे है इसलिए (44+4(-2)=36)। ऋणात्मक अंतर को ध्यान से जोड़ें। / The (12)th term is (4d) after the (8)th term, so (44+4(-2)=36). Add the negative difference carefully.

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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)

Explanation

Simple Explanation

यहाँ (d=5) है इसलिए $a_{24}=12+23\times5=127$। (24)वें पद के लिए (23d) जोड़ें। / Here (d=5), so $a_{24}=12+23\times5=127$. For the (24)th term, add (23d).

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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)

Explanation

Simple Explanation

यहाँ (d=6) है इसलिए $a_{18}=-15+17\times6=87$। ऋणात्मक प्रथम पद को सही जोड़ें। / Here (d=6), so $a_{18}=-15+17\times6=87$. Add the negative first term correctly.

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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)

Explanation

Simple Explanation

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

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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)

Explanation

Simple Explanation

यहाँ (d=11) है इसलिए $a_{16}=6+15\times11=171$। (16)वें पद के लिए (15) अंतर जोड़ें। / Here (d=11), so $a_{16}=6+15\times11=171$. For the (16)th term, add (15) differences.

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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)

Explanation

Simple Explanation

यहाँ (d=-4) है इसलिए (a_{14}=33+13(-4)=-19)। (13) बार (-4) जोड़ें। / Here (d=-4), so (a_{14}=33+13(-4)=-19). Add (-4) thirteen times.

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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)

Explanation

Simple Explanation

$a_5=22+4\times13=74$। $a_1$ को प्रथम पद माना जाता है। / $a_5=22+4\times13=74$. $a_1$ is treated as the first term.

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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)

Explanation

Simple Explanation

यहाँ (d=6) है इसलिए $a_{28}=9+27\times6=171$। (28)वें पद के लिए (27d) जोड़ें। / Here (d=6), so $a_{28}=9+27\times6=171$. For the (28)th term, add (27d).

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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)

Explanation

Simple Explanation

(15)वाँ पद (9)वें पद से (6d) आगे है इसलिए (70+18=88)। निकट पदों में यह विधि सरल है। / The (15)th term is (6d) after the (9)th term, so (70+18=88). This method is simple for nearby terms.

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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)

Explanation

Simple Explanation

यहाँ (d=0) है इसलिए हर पद (14) रहेगा। स्थिर एपी में $a_n=a$ होता है। / Here (d=0), so every term remains (14). In a constant AP, $a_n=a$.

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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. $\frac{29}{5}$

Explanation

Simple Explanation

यहाँ (d=1) है इसलिए $a_6=\frac{4}{5}+5=\frac{29}{5}$। पूर्ण संख्या को समान हर वाली भिन्न में बदलें। / Here (d=1), so $a_6=\frac{4}{5}+5=\frac{29}{5}$. Convert the whole number to a fraction with the same denominator.

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Class 10 Mathematics - Arithmetic Progressions (AP) - Word problems based on APs Easy Quiz

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

एपी \(15,22,29,36,\ldots\) का (17)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

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

यदि किसी एपी में (a=2.5), (d=2.5) और (n=10) है तो \(a_n\) क्या होगा?

Simple Explanation

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

Simple Explanation

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