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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 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)

Explanation

Simple Explanation

सूत्र (a_n=a+(n-1)d) लगाएं तो $5+7\times3=26$। परीक्षा में (n-1) लेना न भूलें। / Using (a_n=a+(n-1)d), $5+7\times3=26$. In exams, do not forget (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 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)

Explanation

Simple Explanation

यहाँ (a=2) और (d=4) है इसलिए $a_{12}=2+11\times4=46$। पहले सार्व अंतर निकालें। / Here (a=2) and (d=4), so $a_{12}=2+11\times4=46$. First find 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 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)

Explanation

Simple Explanation

यहाँ (d=4) है इसलिए $a_{10}=7+9\times4=43$। पद संख्या से (1) घटाकर गुणा करें। / Here (d=4), so $a_{10}=7+9\times4=43$. Multiply by one less than the term number.

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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)

Explanation

Simple Explanation

(a_n=12+(6-1)\times5=37)। सूत्र में सीधे मान रखने से गलती कम होती है। / (a_n=12+(6-1)\times5=37). Substituting values directly reduces mistakes.

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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)

Explanation

Simple Explanation

यहाँ (d=-2) है इसलिए (a_9=20+8(-2)=4)। घटती एपी में (d) ऋणात्मक होता है। / Here (d=-2), so (a_9=20+8(-2)=4). In a decreasing AP, (d) 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 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)

Explanation

Simple Explanation

यहाँ (a=-3) और (d=4) है इसलिए $a_7=-3+6\times4=21$। ऋणात्मक प्रथम पद से सावधानी रखें। / Here (a=-3) and (d=4), so $a_7=-3+6\times4=21$. Be careful with a negative first term.

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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)

Explanation

Simple Explanation

यहाँ (d=-3) है इसलिए (a_{11}=9+10(-3)=-21)। ऋण चिह्न को सही रखें। / Here (d=-3), so (a_{11}=9+10(-3)=-21). Keep the negative sign correct.

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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)

Explanation

Simple Explanation

$a_5=4+4\times7=32$। (5)वें पद के लिए (4d) जोड़ते हैं। / $a_5=4+4\times7=32$. For the (5)th term, add (4d).

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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)

Explanation

Simple Explanation

यहाँ (a=1) और (d=3) है इसलिए $a_{15}=1+14\times3=43$। क्रमांक से (1) कम लेना जरूरी है। / Here (a=1) and (d=3), so $a_{15}=1+14\times3=43$. Taking one less than the term number is necessary.

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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)

Explanation

Simple Explanation

यहाँ (d=-5) है इसलिए (a_6=30+5(-5)=5)। घटते क्रम में सार्व अंतर ऋणात्मक लें। / Here (d=-5), so (a_6=30+5(-5)=5). Take the common difference as negative in decreasing order.

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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)

Explanation

Simple Explanation

$a_{20}=8+19\times2=46$। $a_1$ ही प्रथम पद होता है। / $a_{20}=8+19\times2=46$. $a_1$ is the first term.

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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)

Explanation

Simple Explanation

यहाँ (d=4) है इसलिए $a_9=13+8\times4=45$। पहले दो पदों का अंतर जांचें। / Here (d=4), so $a_9=13+8\times4=45$. Check the difference between the first two terms.

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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)

Explanation

Simple Explanation

यहाँ (d=3) है इसलिए $a_{14}=-10+13\times3=29$। ऋणात्मक (a) के साथ जोड़ सही करें। / Here (d=3), so $a_{14}=-10+13\times3=29$. Add carefully with a negative (a).

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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)

Explanation

Simple Explanation

(a_8=15+7(-4)=-13)। ऋणात्मक (d) को कोष्ठक में लिखना उपयोगी है। / (a_8=15+7(-4)=-13). Writing negative (d) in brackets is useful.

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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)

Explanation

Simple Explanation

यहाँ (d=7) है इसलिए $a_{10}=6+9\times7=69$। (10)वें पद के लिए (9d) जोड़ें। / Here (d=7), so $a_{10}=6+9\times7=69$. For the (10)th term, add (9d).

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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)

Explanation

Simple Explanation

यहाँ (d=-10) है इसलिए (a_{12}=100+11(-10)=-10)। बड़े अंतर में भी वही सूत्र लगता है। / Here (d=-10), so (a_{12}=100+11(-10)=-10). The same formula works for large differences too.

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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)

Explanation

Simple Explanation

$a_7=3+6\times9=57$। (n) की जगह (7) रखने पर (6d) जुड़ता है। / $a_7=3+6\times9=57$. When (n=7), (6d) is added.

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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)

Explanation

Simple Explanation

यहाँ (d=3) है इसलिए $a_{18}=11+17\times3=62$। लंबी पद संख्या में भी (n-1) का उपयोग करें। / Here (d=3), so $a_{18}=11+17\times3=62$. Use (n-1) even for a larger term number.

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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)

Explanation

Simple Explanation

यहाँ (d=-3) है इसलिए (a_{13}=50+12(-3)=14)। घटती एपी में पद छोटे होते जाते हैं। / Here (d=-3), so (a_{13}=50+12(-3)=14). In a decreasing AP, terms keep getting smaller.

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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)

Explanation

Simple Explanation

यहाँ (d=5) है इसलिए $a_{16}=4+15\times5=79$। (16)वें पद के लिए (15d) जोड़ें। / Here (d=5), so $a_{16}=4+15\times5=79$. For the (16)th term, add (15d).

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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)

Explanation

Simple Explanation

यहाँ (a=0) और (d=5) है इसलिए $a_{21}=0+20\times5=100$। प्रथम पद (0) हो सकता है। / Here (a=0) and (d=5), so $a_{21}=0+20\times5=100$. The first term can be (0).

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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)

Explanation

Simple Explanation

यहाँ $a=\frac{1}{2}$ और $d=\frac{1}{2}$ है इसलिए $a_{10}=5$। भिन्नों में हर समान रखकर जोड़ें। / Here $a=\frac{1}{2}$ and $d=\frac{1}{2}$, so $a_{10}=5$. Use a common denominator while adding fractions.

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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)

Explanation

Simple Explanation

यहाँ (d=0) है इसलिए हर पद (3) रहेगा। समान पदों वाली एपी में $a_n=a$ होता है। / Here (d=0), so every term remains (3). In a constant AP, $a_n=a$.

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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)

Explanation

Simple Explanation

(a_{17}=25+16(-2)=-7)। ऋणात्मक सार्व अंतर को सही से गुणा करें। / (a_{17}=25+16(-2)=-7). Multiply the negative common difference carefully.

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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)

Explanation

Simple Explanation

यहाँ (d=7) है इसलिए $a_{11}=8+10\times7=78$। पहले पद से शुरू करके (10) अंतर जोड़ें। / Here (d=7), so $a_{11}=8+10\times7=78$. Start from the first term and add (10) differences.

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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)

Explanation

Simple Explanation

यहाँ (d=5) है इसलिए $a_8=18+7\times5=53$। (8)वें पद में (7) अंतर शामिल होते हैं। / Here (d=5), so $a_8=18+7\times5=53$. The (8)th term includes (7) differences.

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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)

Explanation

Simple Explanation

यहाँ (d=3) है इसलिए $a_{20}=-5+19\times3=52$। ऋणात्मक प्रथम पद को अंत में घटाएं। / Here (d=3), so $a_{20}=-5+19\times3=52$. Subtract the negative first term effect carefully.

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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)

Explanation

Simple Explanation

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

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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)

Explanation

Simple Explanation

(8)वाँ पद (5)वें पद से (3d) आगे है इसलिए (22+18=40)। पदों का अंतर गिनना आसान तरीका है। / The (8)th term is (3d) after the (5)th term, so (22+18=40). Counting the gap between terms is an easy method.

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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)

Explanation

Simple Explanation

यहाँ (d=-4) है इसलिए (a_{15}=40+14(-4)=-16)। (14) बार सार्व अंतर जोड़ना है। / Here (d=-4), so (a_{15}=40+14(-4)=-16). The common difference is added (14) times.

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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)

Explanation

Simple Explanation

यहाँ (d=7) है इसलिए $a_{13}=2+12\times7=86$। सही पद संख्या के लिए (12d) जोड़ें। / Here (d=7), so $a_{13}=2+12\times7=86$. Add (12d) for the correct term number.

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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)

Explanation

Simple Explanation

$a_9=1+8\times11=89$। (9)वें पद के लिए (8) अंतर जुड़ते हैं। / $a_9=1+8\times11=89$. For the (9)th term, (8) differences are added.

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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)

Explanation

Simple Explanation

यहाँ (d=-4) है इसलिए (a_{10}=16+9(-4)=-20)। घटते क्रम में उत्तर ऋणात्मक भी हो सकता है। / Here (d=-4), so (a_{10}=16+9(-4)=-20). In decreasing order, the answer can be negative.

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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)

Explanation

Simple Explanation

यहाँ (a=5) और (d=5) है इसलिए $a_{30}=5+29\times5=150$। समान गुणकों वाली एपी में सूत्र जल्दी काम करता है। / Here (a=5) and (d=5), so $a_{30}=5+29\times5=150$. The formula works quickly for APs with equal multiples.

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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)

Explanation

Simple Explanation

$a_{12}=-2+11\times6=64$। पहले गुणा करें फिर (-2) जोड़ें। / $a_{12}=-2+11\times6=64$. Multiply first and then add (-2).

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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)

Explanation

Simple Explanation

यहाँ (d=-2) है इसलिए (a_{16}=21+15(-2)=-9)। (16)वें पद तक (15) बार अंतर जुड़ता है। / Here (d=-2), so (a_{16}=21+15(-2)=-9). Up to the (16)th term, the difference is added (15) times.

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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)

Explanation

Simple Explanation

(9)वाँ पद (4)वें पद से (5d) आगे है इसलिए (18+15=33)। दिए हुए पद से आगे बढ़ना तेज तरीका है। / The (9)th term is (5d) after the (4)th term, so (18+15=33). Moving forward from the given term is quick.

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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)

Explanation

Simple Explanation

यहाँ (d=8) है इसलिए $a_{14}=12+13\times8=116$। (13d) जोड़ना सही है। / Here (d=8), so $a_{14}=12+13\times8=116$. Adding (13d) is correct.

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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. $\frac{17}{2}$

Explanation

Simple Explanation

यहाँ $a=\frac{3}{2}$ और (d=1) है इसलिए $a_8=\frac{17}{2}$। भिन्न वाले पदों में हर को ध्यान से देखें। / Here $a=\frac{3}{2}$ and (d=1), so $a_8=\frac{17}{2}$. Watch the denominator carefully in fractional terms.

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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)

Explanation

Simple Explanation

(7)वाँ पद (3)रे पद से (4d) आगे है इसलिए (14+20=34)। बीच के पदों की संख्या सही गिनें। / The (7)th term is (4d) after the (3)rd term, so (14+20=34). Count the gap between terms correctly.

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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)

Explanation

Simple Explanation

यहाँ (d=-3) है इसलिए (a_{19}=24+18(-3)=-30)। (19)वें पद के लिए (18d) जुड़ता है। / Here (d=-3), so (a_{19}=24+18(-3)=-30). For the (19)th term, (18d) is added.

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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)

Explanation

Simple Explanation

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

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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)

Explanation

Simple Explanation

यहाँ (d=7) है इसलिए $a_6=17+5\times7=52$। (6)वें पद में (5) अंतर होते हैं। / Here (d=7), so $a_6=17+5\times7=52$. The (6)th term has (5) differences.

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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)

Explanation

Simple Explanation

यहाँ (d=5) है इसलिए $a_{11}=-8+10\times5=42$। ऋणात्मक शुरुआत के बाद भी सूत्र वही रहता है। / Here (d=5), so $a_{11}=-8+10\times5=42$. The formula remains the same even with a negative start.

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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)

Explanation

Simple Explanation

(a_9=60+8(-6)=12)। पहले (8d) निकालें फिर प्रथम पद में जोड़ें। / (a_9=60+8(-6)=12). First calculate (8d), then add it to the first term.

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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)

Explanation

Simple Explanation

यहाँ (d=7) है इसलिए $a_{22}=1+21\times7=148$। (22)वें पद के लिए (21d) जोड़ें। / Here (d=7), so $a_{22}=1+21\times7=148$. For the (22)nd term, add (21d).

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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)

Explanation

Simple Explanation

यहाँ (d=-5) है इसलिए (a_{18}=35+17(-5)=-50)। (17) बार (-5) जोड़ना है। / Here (d=-5), so (a_{18}=35+17(-5)=-50). You need to add (-5) seventeen times.

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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)

Explanation

Simple Explanation

(6)वाँ पद (2)रे पद से (4d) आगे है इसलिए (10+16=26)। दिए पद से आगे बढ़कर हल करें। / The (6)th term is (4d) after the (2)nd term, so (10+16=26). Solve by moving forward from the given term.

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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)

Explanation

Simple Explanation

यहाँ (d=0) है इसलिए $a_{100}=6$। स्थिर एपी में हर पद समान होता है। / Here (d=0), so $a_{100}=6$. In a constant AP, every term is the same.

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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. $\frac{20}{3}$

Explanation

Simple Explanation

यहाँ (d=1) है इसलिए $a_7=\frac{2}{3}+6=\frac{20}{3}$। पूर्ण संख्या को भिन्न में बदलकर जोड़ें। / Here (d=1), so $a_7=\frac{2}{3}+6=\frac{20}{3}$. Convert the whole number into a fraction before adding.

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

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

यदि एपी का प्रथम पद (-2) और सार्व अंतर (6) है तो (12)वाँ पद क्या होगा?

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

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

Simple Explanation

यदि किसी एपी का (3)रा पद (14) और (d=5) है तो (7)वाँ पद क्या होगा?