# MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions with Answers

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**NCERT MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions with Answers**which is very helpful during the preparation of examinations. These MCQ Online Test are one marks questions which will give you overview of the chapter in no time. One should try to understand Class 10 MCQ Questions as it is based on latest exam pattern released by CBSE.Also, students can check NCERT Solutions for Class 10 Maths Chapter 5 for improving their marks and have good understanding of the chapter.

## Chapter 5 Arithmetic Progressions MCQ Questions for Class 10 Maths with Answers

1. If a + 1, 2a + 1, 4a – 1 are in A.P., then value of ‘a’ is:

(a) 4

(b) 3

(c) 2

(d) 1

**Solution**(c) 2

2. Find the next two terms of the A.P.: -10, -6,-2__

(a) 4,8

(b) -4,-8

(c) 2,6

(d) 6,10

**Solution**(c) 2,6

3. If 7th and 13th terms of an A.P. be 34 and 64, respectively, then it's 18th term is :

(a) 87

(b) 88

(c) 89

(d) 90

**Solution**(c) 89

4. The number of terms common to the two A.P. s 2+5+8+11+ ....+98 and 3 + 8 +13 + 18 +...+198

(a) 7

(b) 40

(c) 33

(d) None of the above

**Solution**(a) 7

5. The 6th term from the end of the AP: 5, 2, -1 , -4 ,..., -31 is

(a) -16

(b) -19

(c) -22

(d) -25

**Solution**(a) -16

6. If the sum of n terms of an AP is 2n

^{2}+ 5n, then its nth term is –(a) 4n - 3

(b) 3n - 4

(c) 4n + 3

(d) 3n + 4

**Solution**(c) 4n + 3

7. The fourth term of an A.P. is 4. Then the sum of the first 7 terms is:

(a) 4

(b) 16

(c) 28

(d) 40

**Solution**(c) 28

8. If the last term of an AP is 119 and the 8th term from the end is 91 then the common difference of the AP is

(a) 2

(b) 4

(c) 3

(d) -3

**Solution**(b) 4

9. The sum of all two digit odd numbers is

(a) 2575

(b) 2475

(c) 2524

(d) 2425

**Solution**(b) 2475

10. The sum of all 2-digited numbers which leave remainder 1 when divided by 3 is :

(a) 1616

(b) 1602

(c) 1605

(d) None of the above

**Solution**(c) 1605

11. Two APs have the same common difference. The first term of one of these is -1 and that of the other is -8. Then the difference between their 4th terms is

(a) -1

(b) -8

(c) 7

(d) -9

**Solution**(c) 7

12. 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

**Solution**(d) 5n-3

13. The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

(a) 10

(b) 12

(c) 11

(d) None of the above

**Solution**(c) 11

14. For an A.P the sum of first 30 terms is -1155,the common difference is -3and the thirtieth term is -82. What is the first term?

(a) 10

(b) 8

(c) 5

(d) 12

**Solution**(c) 5

15. What is the sum of the first 50 multiples of 3?

(a) 3255

(b) 3825

(c) 4325

(d) 4455

**Solution**(b) 3825

16. The number of numbers between 105 and 1000 which are divisible by 7 is :

(a) 142

(b) 127

(c) 128

(d) None of the above

**Solution**(c) 128

17. Given an A.P. few of whose terms are x, y, 2, 4, 6, 8,… What must be the values of x and y?

(a) x = 2, y = -4

(b) x = -2, y = 0

(c) x = 0, y = -2

(d) x = -4, y = 2

**Solution**(b) x = -2, y = 0

18. If the nth term of an AP is (2n + 1), then the sum of its first three terms is

(a) 6n + 3

(b) 15

(c) 12

(d) 21

**Solution**(b) 15

19. If p, q, r and s are in A.P. then r - q is

(a) s-p

(b) s-a

(c) s-r

(d) none of the above

**Solution**(c) s-r

20. Two APs have same common difference. The first term of one of these is -1 and that of the other is - 8. Then the difference between their 4th term is

(a) -1

(b) -8

(c) 7

(d) -9

**Solution**(c) 7

21. If 4/5, a, 2 are three consecutive terms of an A.P., then the value of a is:

(a) 7/5

(b) 2/5

(c) 9/5

(d) 1/5

**Solution**(a) 7/5

22. The common difference of the A.P for which 20th term is 10 more than the 18th term is:

(a) 2

(b) 3

(c) 5

(d) 10

**Solution**(c) 5