MCQ Questions for Class 10 Maths Arithmetic Progressions

Maths is an important subject and is comparatively more difficult than other subjects. The students preparing for class 10th board exams should practice the concepts for solving the MCQs of Chapter 5 Arithmetic Progression. The Arithmetic Progressions Multiple Choice Questions with answers are curated keeping in mind the latest CBSE curriculum and exam pattern to help students to secure good grades in the exam.Excellence comes with practice. Maths’s Chapter 5 Arithmetic Progression has long and tricky calculations. Practicing MCQs helps students strategize their time and make them well-versed to perform quick calculations to save time and answer them with accuracy. So, study hard and practice smart, and you will pass with flying colors.

Maths Class 10 Chapter 5 Arithmetic Progressions MCQs

1. The nth term of an A.P. is given by an= 3 + 4n. The common difference is
A. 7
B. 3
C. 4
D. 1

Answer: C

2. If p, q, r and s are in A.P. then r – q is
A. s – p
B. s – q
C. s – r
D. none of these

Answer: C

3. If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are
A. 2, 4, 6
B. 1, 5, 3
C. 2, 8, 4
D. 2, 3, 4

Answer: D

4. The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is
A. 5n + 2
B. 5n + 3
C. 5n – 5
D. 5n – 3

Answer: D

5. The 10th term from the end of the A.P. -5, -10, -15,…, -1000 is
A. -955
B. -945
C. -950
D. -965

Answer: A

6. Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4
A. 262
B. 272
C. 282
D. 292

Answer: A

7. The number of multiples lie between n and n² which are divisible by n is
A. n + 1
B. n
C. n – 1
D. n – 2

Answer: D

8. The 10th term from the end of the A.P. 4, 9,14, …, 254 is
A. 209
B. 205
C. 214
D. 213

Answer: A

9. The sum of all odd integers between 2 and 100 divisible by 3 is
A. 17
B. 867
C. 876
D. 786

Answer: B

10. If the numbers a, b, c, d, e form an A.P., then the value of a – 4b + 6c – 4d + e is
A. 0
B. 1
C. -1
D. 2

Answer: A

11. The 21st term of the AP whose first two terms are –3 and 4 is
A. 17
B. 137
C. 143
D. –143

Answer: B

12. If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?
A. 30
B. 33
C. 37
D. 38

Answer: B

13. If the common difference of an AP is 5, then what is a18 – a13?
A. 5
B. 20
C. 25
D. 30

Answer: C

14. The sum of the first 15 multiples of 8 is
A. 920
B. 860
C. 900
D. 960

Answer: D

15. 20th term of the AP -5, -3, -1, 1, is
A. 33
B. 30
C. 20
D. 25

Answer: A

16. If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be
A. A + B
B. A – B
C. 2A
D. 2B

Answer: D

17. If p – 1, p + 3, 3p – 1 are in AP, then p is equal to
A. 4
B. -4
C. 2
D. -2

Answer: A

18. The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to.
A. 10
B. 11
C. 12
D. 13

Answer: B

19. If the sum of the first m terms of an AP is n and the sum of its n terms is m, then the sum of its (m + n) terms will be
A. m + n
B. -(m + n)
C. m – n
D. 0

Answer: B

20. If nth term of an AP is given by fn = 3n + 4, find the common difference of the AP
A. 3
B. 2
C. 4
D. 7

Answer: A