10TH CBSE Maths QUIZ – Arithmetic Progressions 10 MCQ Tests × 10 Questions = 100 Questions

Class 10 Maths – Arithmetic Progressions

10 MCQ Tests × 10 Questions = 100 Questions

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Test 1 – Arithmetic Progressions

Q1. If k, 2k − 1 and 2k + 1 are consecutive terms of an A.P., k is:

A. 2 B. 3 C. −3 D. 5

Correct Answer: B. 3

Q2. The sum of the first 20 odd natural numbers is:

A. 100 B. 210 C. 400 D. 420

Correct Answer: C. 400

Q3. If 2x, x + 10 and 3x + 2 are consecutive terms of an A.P., x is:

A. 6 B. −6 C. 18 D. −18

Correct Answer: A. 6

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Q4. If p − 1, p + 1 and 2p + 3 are in A.P., p is:

A. −2 B. 4 C. 0 D. 2

Correct Answer: C. 0

Q5. The nth term of the A.P. a, 3a, 5a, … is:

A. na B. (2n − 1)a C. (2n + 1)a D. 2na

Correct Answer: B. (2n − 1)a

Q6. The common difference of an A.P. whose nth term is 3n + 7 is:

A. 3 B. 7 C. 10 D. 6

Correct Answer: A. 3

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Q7. If the nth term of an A.P. is 2n + 1, the sum of its first three terms is:

A. 6n + 3 B. 15 C. 12 D. 21

Correct Answer: B. 15

Q8. If the common difference of an A.P. is 3, then a20 − a15 is:

A. 5 B. 3 C. 15 D. 20

Correct Answer: C. 15

Q9. The 10th term of the A.P. 2, 7, 12, … is:

A. 49 B. 50 C. 48 D. 47

Correct Answer: D. 47

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Q10. If the first term is 7 and the 23rd term is 84, the number of terms is:

A. 22 B. 24 C. 23 D. 26

Correct Answer: C. 23

Test 2 – Arithmetic Progressions

Q1. If the first term is p and common difference is q, the 10th term is:

A. q + 9p B. p − 9q C. p + 9q D. 2p + 9q

Correct Answer: C. p + 9q

Q2. In an A.P., if d = −2, n = 5 and an = 0, the first term a is:

A. 10 B. 5 C. −8 D. 8

Correct Answer: D. 8

Q3. If the first term is 5, last term is 45 and the sum is 400, the number of terms is:

A. 20 B. 8 C. 10 D. 16

Correct Answer: D. 16

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Q4. If a = 3.5, d = 0 and n = 101, then an is:

A. 0 B. 103.5 C. 3.5 D. 1

Correct Answer: C. 3.5

Q5. The amount saved as Rs.1, Rs.2, Rs.3, … during a 31-day month is:

A. Rs.1000 B. Rs.500 C. Rs.496 D. Rs.498

Correct Answer: C. Rs.496

Q6. If a = −5 and d = 2, the sum of the first 6 terms is:

A. 0 B. 5 C. 6 D. 15

Correct Answer: A. 0

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Q7. The 9th term is 449 and the 449th term is 9. The term equal to zero is:

A. 501st B. 502nd C. 508th D. None of these

Correct Answer: D. None of these

Q8. The sum of three terms of an A.P. is 72. The middle term is:

A. 36 B. 18 C. 24 D. 20

Correct Answer: C. 24

Q9. If the sum of first n terms is 3n² + 5n, which term is 164?

A. 26th B. 27th C. 28th D. None

Correct Answer: B. 27th

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Q10. Four A.P. numbers have sum 50 and greatest is four times least. They are:

A. 5,10,15,20 B. 4,10,16,20 C. 3,7,11,15 D. 2,14,18,16

Correct Answer: A. 5,10,15,20

Test 3 – Arithmetic Progressions

Q1. Which term of the A.P. 21, 42, 63, 84, … is 210?

A. 9th B. 10th C. 11th D. 12th

Correct Answer: B. 10th

Q2. If d = 5, then a18 − a13 is:

A. 5 B. 20 C. 25 D. 30

Correct Answer: C. 25

Q3. The nth term of an A.P. whose sum of n terms is Sn is:

A. Sn + Sn−1 B. Sn − Sn−1 C. Sn + Sn+1 D. Sn − Sn+1

Correct Answer: B. Sn − Sn−1

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Q4. If the 18th and 11th terms are in the ratio 3:2, then the 21st and 5th terms are in the ratio:

A. 3:2 B. 3:1 C. 1:3 D. 2:3

Correct Answer: B. 3:1

Q5. If 9 times the 9th term equals 11 times the 11th term, the 20th term is:

A. 2 B. 3 C. 1 D. 0

Correct Answer: D. 0

Q6. The sum of the first n positive integers is:

A. n(n−1)/2 B. n(n+1)/2 C. n²/2 D. n(n+2)/2

Correct Answer: B. n(n+1)/2

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Q7. The sum of the first n odd natural numbers is:

A. 2n−1 B. 2n+1 C. n² D. n²−1

Correct Answer: C. n²

Q8. The 31st term of an A.P. whose first two terms are −3 and 4 is:

A. 210 B. 200 C. 137 D. 207

Correct Answer: D. 207

Q9. If Sn = 4n² + 2n, the nth term is:

A. 6n−2 B. 7n−3 C. 8n−2 D. 8n+2

Correct Answer: C. 8n−2

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Q10. The 9th term of an A.P. is 499 and the 499th is 9. The zero term is:

A. 504th B. 510th C. 500th D. 508th

Correct Answer: D. 508th

Test 4 – Arithmetic Progressions

Q1. The first term of an A.P. whose Sn = n² + 2n is:

A. 3 B. 0 C. 1 D. 2

Correct Answer: A. 3

Q2. If a, 7, b, 23, c are in A.P., c is:

A. 31 B. 0 C. 8 D. −1

Correct Answer: A. 31

Q3. If 4, x1, x2, x3, 28 are in A.P., x3 is:

A. 19 B. 23 C. 22 D. Cannot be determined

Correct Answer: C. 22

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Q4. The 4th term from the end of −11, −8, −5, …, 49 is:

A. 37 B. 40 C. 43 D. 58

Correct Answer: B. 40

Q5. If a18 − a14 = 32, the common difference is:

A. 8 B. −8 C. 4 D. −4

Correct Answer: A. 8

Q6. The 7th term is −1 and 16th term is 17. The nth term is:

A. 3n+8 B. 4n−7 C. 15−2n D. 2n−15

Correct Answer: D. 2n−15

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Q7. If Sn = 3n² + 7n, the common difference is:

A. 5 B. 1 C. 2 D. 6

Correct Answer: D. 6

Q8. The sum of first 16 terms of 10, 6, 2, … is:

A. 320 B. −320 C. −352 D. −400

Correct Answer: B. −320

Q9. If d = 5, then a20 − a13 is:

A. 25 B. 35 C. 40 D. 30

Correct Answer: B. 35

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Q10. Sn − Sn−1 equals:

A. an+1 B. None C. an−1 D. an

Correct Answer: D. an

Test 5 – Arithmetic Progressions

Q1. The 50th term of 5, 12, 19, … is:

A. 343 B. 353 C. 348 D. 362

Correct Answer: C. 348

Q2. If a, b and c are in A.P., the relation is:

A. 2c=a+b B. 2a=b+c C. a=b+c D. 2b=a+c

Correct Answer: D. 2b=a+c

Q3. If a = 2, d = 4, the sum of 40 terms is:

A. 3200 B. 1600 C. 200 D. 2800

Correct Answer: A. 3200

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Q4. If first term is m and common difference is n, the 10th term is:

A. 9m−n B. 9m+n C. m−9n D. m+9n

Correct Answer: D. m+9n

Q5. 200 logs are stacked as 20, 19, 18, … per row. Number of rows is:

A. 10 B. 15 C. 12 D. 16

Correct Answer: D. 16

Q6. If d = −4, n = 7 and an = 4, then a is:

A. 20 B. 6 C. 28 D. 7

Correct Answer: C. 28

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Q7. If the first 20 odd natural numbers are considered, their sum is:

A. 100 B. 210 C. 400 D. 420

Correct Answer: C. 400

Q8. If the nth term is 7 − 4n, its common difference is:

A. −4 B. −3 C. 3 D. 4

Correct Answer: A. −4

Q9. The sum of first 20 terms of 10, 6, 2, … is:

A. −480 B. −500 C. −400 D. −560

Correct Answer: D. −560

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Q10. An A.P. 5, 12, 19, … has 50 terms. Its last term is:

A. 343 B. 353 C. 348 D. 362

Correct Answer: C. 348

Test 6 – Arithmetic Progressions

Q1. A sum of Rs.700 is used for 7 prizes, each Rs.20 less than the preceding prize. The first prize is:

A. Rs.100 B. Rs.160 C. Rs.200 D. Rs.180

Correct Answer: B. Rs.160

Q2. Which term of 72, 63, 54, … is 0?

A. 8th B. 9th C. 10th D. 11th

Correct Answer: B. 9th

Q3. Which sequence is NOT an A.P.?

A. −1.2,−3.2,−5.2,… B. a,2a,3a,4a,… C. 2,4,8,16,… D. 2,5,8,11,…

Correct Answer: C. 2,4,8,16,…

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Q4. If the common difference of an A.P. is 5, a20 − a13 is:

A. 25 B. 35 C. 40 D. 30

Correct Answer: B. 35

Q5. The 10th term of an A.P. with first term 2 and difference 4 is:

A. 34 B. 38 C. 36 D. 40

Correct Answer: B. 38

Q6. The 16th term from the end of an A.P. can be found using:

A. l+(n−1)d B. l−(n−1)d C. a+(n−1)d D. nd−a

Correct Answer: B. l−(n−1)d

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Q7. If the first, second and last terms are a, b and 2a, then the common difference is:

A. a−b B. b−a C. a+b D. 2a−b

Correct Answer: B. b−a

Q8. If k, 2k−1, 2k+1 are consecutive A.P. terms, k is:

A. −2 B. 3 C. −3 D. 6

Correct Answer: B. 3

Q9. The first term of an A.P. with Sn = n² + 2n is:

A. 3 B. 0 C. 1 D. 2

Correct Answer: A. 3

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Q10. If a20 − a13 = 35 and d = 5, the statement is:

A. True B. False C. Cannot determine D. Only if a=0

Correct Answer: A. True

Test 7 – Arithmetic Progressions

Q1. If d = −4, n = 7 and an = 4, the first term is:

A. 20 B. 6 C. 28 D. 7

Correct Answer: C. 28

Q2. If a = 10, d = −4 and n = 16, S16 is:

A. −320 B. 320 C. −352 D. −400

Correct Answer: A. −320

Q3. If a = 5, d = 7, the 50th term is:

A. 343 B. 353 C. 348 D. 362

Correct Answer: C. 348

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Q4. The middle term of three A.P. terms whose sum is 72 is:

A. 18 B. 24 C. 36 D. 20

Correct Answer: B. 24

Q5. If a18 − a13 = 25, then d is:

A. 4 B. 5 C. 6 D. 7

Correct Answer: B. 5

Q6. If a7 = −1 and a16 = 17, the common difference is:

A. 1 B. 2 C. 3 D. 4

Correct Answer: B. 2

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Q7. If the first term is 7 and the 23rd term is 84, n is:

A. 22 B. 23 C. 24 D. 26

Correct Answer: B. 23

Q8. If the sum of n terms is 3n² + 5n, the nth term is:

A. 6n+2 B. 6n−2 C. 3n+5 D. 3n²

Correct Answer: B. 6n−2

Q9. If four A.P. terms have sum 50 and first is 5, the common difference is:

A. 4 B. 5 C. 6 D. 7

Correct Answer: B. 5

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Q10. The relation for three consecutive A.P. terms a,b,c is:

A. a+c=b B. a+c=2b C. 2a=b+c D. a=b+c

Correct Answer: B. a+c=2b

Test 8 – Arithmetic Progressions

Q1. The common difference of an A.P. whose nth term is 7 − 4n is:

A. −4 B. −3 C. 3 D. 4

Correct Answer: A. −4

Q2. The sum of the first 20 odd natural numbers is:

A. 200 B. 210 C. 400 D. 420

Correct Answer: C. 400

Q3. The 31st term of −3, 4, 11, … is:

A. 207 B. 210 C. 200 D. 137

Correct Answer: A. 207

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Q4. If the sum of first n terms is 4n² + 2n, the nth term is:

A. 8n−2 B. 8n+2 C. 6n−2 D. 7n−3

Correct Answer: A. 8n−2

Q5. The 4th term from the end of −11, −8, −5, …, 49 is:

A. 37 B. 40 C. 43 D. 58

Correct Answer: B. 40

Q6. If 9a9 = 11a11, then a20 is:

A. 0 B. 1 C. 2 D. 3

Correct Answer: A. 0

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Q7. The 50th term of 5,12,19,… is:

A. 343 B. 348 C. 353 D. 362

Correct Answer: B. 348

Q8. If a,7,b,23,c are in A.P., c is:

A. 31 B. 30 C. 32 D. 29

Correct Answer: A. 31

Q9. If a18 − a14 = 32, d is:

A. 4 B. 8 C. −8 D. −4

Correct Answer: B. 8

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Q10. If Sn − Sn−1 is simplified, the result is:

A. a(n−1) B. an C. a(n+1) D. Sn

Correct Answer: B. an

Test 9 – Arithmetic Progressions

Q1. If the first term is p and common difference q, the 10th term is:

A. p+9q B. p+10q C. 9p+q D. 10p+q

Correct Answer: A. p+9q

Q2. If d = −2, n = 5 and an = 0, a is:

A. −8 B. 8 C. 10 D. 5

Correct Answer: B. 8

Q3. If first term 5, last term 45 and sum 400, n is:

A. 8 B. 10 C. 16 D. 20

Correct Answer: C. 16

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Q4. For a = 3.5 and d = 0, every term equals:

A. 0 B. 3.5 C. 101 D. 103.5

Correct Answer: B. 3.5

Q5. The sum of 1+2+3+…+31 is:

A. 465 B. 496 C. 505 D. 496? no

Correct Answer: B. 496

Q6. The 10th term of 2,7,12,… is:

A. 47 B. 48 C. 49 D. 50

Correct Answer: A. 47

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Q7. The 210th term question for 21,42,63,… gives:

A. 9th B. 10th C. 11th D. 12th

Correct Answer: B. 10th

Q8. If d = 3, a20 − a15 equals:

A. 12 B. 15 C. 18 D. 20

Correct Answer: B. 15

Q9. The first term when Sn = n² + 2n is:

A. 1 B. 2 C. 3 D. 4

Correct Answer: C. 3

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Q10. A sequence with unequal successive differences is:

A. An A.P. B. Not an A.P. C. Always constant D. A geometric progression necessarily

Correct Answer: B. Not an A.P.

Test 10 – Arithmetic Progressions

Q1. If 2x, x+10 and 3x+2 are consecutive A.P. terms, x is:

A. 6 B. −6 C. 18 D. −18

Correct Answer: A. 6

Q2. If p−1, p+1 and 2p+3 are in A.P., p is:

A. −2 B. 4 C. 0 D. 2

Correct Answer: C. 0

Q3. The nth term of a,3a,5a,… is:

A. (2n−1)a B. (2n+1)a C. na D. 2na

Correct Answer: A. (2n−1)a

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Q4. The common difference of an A.P. with nth term 3n+7 is:

A. 3 B. 7 C. 10 D. 6

Correct Answer: A. 3

Q5. If nth term is 2n+1, first three terms are:

A. 2,4,6 B. 3,5,7 C. 1,3,5 D. 5,7,9

Correct Answer: B. 3,5,7

Q6. The sum of first 20 odd numbers is:

A. 200 B. 400 C. 420 D. 210

Correct Answer: B. 400

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Q7. The 31st term of −3,4,11,… is:

A. 207 B. 200 C. 210 D. 137

Correct Answer: A. 207

Q8. If Sn = 4n²+2n, an is:

A. 6n−2 B. 8n−2 C. 8n+2 D. 7n−3

Correct Answer: B. 8n−2

Q9. If d=5, a20−a13 is:

A. 25 B. 30 C. 35 D. 40

Correct Answer: C. 35

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Q10. The key property of three consecutive A.P. terms a,b,c is:

A. a+b=c B. 2b=a+c C. 2a=b+c D. a=b+c

Correct Answer: B. 2b=a+c

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