Below you will find **MCQ Questions of Chapter 5 Arithmetic Progressions Class 10 Maths** that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.

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

1. 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

► (c) 7

2. An athlete wants to improve his stamina, so he decides to increase the distance he runs by half a kilometer every day. If he starts with 5 km on first day, find how much he runs on the 10 th day

(a) 6 Km

(b) 7.5 Km

(c) 9.5 Km

(d) 10 Km

► (c) 9.5 Km

3. The list of numbers -10, -6, -2, 2, ... is

(a) an AP with d = -16

(b) an AP with d = 4

(c) an AP with d = - 4

(d) not an AP

► (b) an AP with d = 4

4. Which term of the A.P 10,8,6,… will be the first negative term?

(a) 4

(b) 6

(c) 7

(d) 5

► (c) 7

5. If the numbers a,b,c,d,e form an A.P. then the value of a – 4b + 6c – 4d + e is equal to :

(a) 1

(b) 2

(c) 0

(d) None of these

► (c) 0

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

(a) 3255

(b) 3825

(c) 4325

(d) 4455

► (b) 3825

7. If p, q, r are in AP, then p^{3} + r^{3} - 8q^{3} is equal to

(a) 4pqr

(b) -6pqr

(c) 2pqr

(d) 8pqr

► (b) -6pqr

8. The first negative term of the sequence 114, 109, 104 ………… is

(a) 21

(b) 23

(c) 24

(d) 22

► (c) 24

9. How many terms are there in the AP 7, 13, 19, 25…205

(a) 34

(b) 25

(c) 22

(d) 38

► (a) 34

10. Find the sum of the first 15 multiples of 8.

(a) 960

(b) 520

(c) 440

(d) 600

► (a) 960

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

(a) -16

(b) -19

(c) -22

(d) -25

► (a) -16

12. If {a_{n}} = {2.5, 2.51, 2.52,...} and {b_{n}} = {3.72, 3.73, 3.74,...} be two AP's, then a_{100005} – b_{100005} =

(a) –1.22

(b) 1.22

(c) 1.2

(d) -1.02

► (a) – 1.22

13. The common difference and the next two terms of the A.P are….1.8, 2.0, 2.2, 2.4,….

(a) 3.1, 6.2, 9.3

(b) 0.2, 3.4,3.6

(c) 0.2, 2.6, 2.8

(d) 1.0, 3.0,4.0

► (c) 0.2, 2.6, 2.8

14. The common difference of an A.P. in which a_{25} – a_{12} = -52 is:

(a) -3

(b) 3

(c) 4

(d) -4

► (d) -4

15. The common difference and the next two terms of the A.P are…. 75, 67, 59, 51,……

(a) 3, 6,9

(b) 2, 3,5

(c) 10, 30,40

(d) -8, 43, 35

► (d) -8, 43, 35

16. How many terms of AP 54, 51, 48… are required to give a sum of 513?

(a) 21 or 25

(b) 22 or 23

(c) 23 or 24

(d) 18 or 19

► (d) 18 or 19

17. In given AP 210 is …………. th term of: 2,6,10……..

(a) 50th

(b) 53rd

(c) 54th

(d) 52nd

► (b) 53rd

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

(a) 33

(b) 40

(c) 7

(d) None of these

► (c) 7

19. The 12th term of the A.P. with first term 1/2 and common difference 1/12 is …

(a) 15/12

(b) 19/12

(c) 17/12

(d) 21/12

► (c) 17/12

20. Find the fifth term of an A.P whose first term is -1 and common difference is -3

(a) 10

(b) -13

(c) -16

(d) 4

► (b) -13

21. 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

► (c) 89

22. 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

► (b) 15

23. In an AP, if a = 3.5, d = 0, n = 101, then an will be

(a) 0

(b) 3.5

(c) 105.5

(d) 104.5

► (b) 3.5

24. 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 these

► (c) 1605

Hope the given MCQ Questions will help you in cracking exams with good marks. These **Arithmetic Progressions MCQ Questions** will help you in practising more and more questions in less time.