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

Students are advised to solve the Arithmetic Progressions Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Arithmetic Progressions Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Arithmetic Progressions Class 10 with answers provided with detailed solutions by looking below.

Question 1.

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

## Answer

Answer: (c) 7

Question 2.

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

## Answer

Answer: (d) 18 or 19

Question 3.

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

(a) 4,8

(b) -4,-8

(c) 2,6

(d) 6,10

## Answer

Answer: (c) 2,6

Question 4.

How many terms are there in 20, 25, 30………, 140

(a) 22

(b) 25

(c) 23

(d) 24

## Answer

Answer: (b) 25

Question 5.

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

(a) 4

(b) 28

(c) 16

(d) 40

## Answer

Answer: (b) 28

Question 6.

The sum of all two digit odd numbers is

(a) 2575

(b) 2475

(c) 2524

(d) 2425

## Answer

Answer: (b) 2475

Question 7.

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

## Answer

Answer: (c) 9.5 Km

Question 8.

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

## Answer

Answer: (b) -6pqr

Question 9.

The number of multiples lie between n and x^{2} which are divisible by n is

(a) n + 1

(b) n

(c) n – 1

(d) n – 2

## Answer

Answer: (d) n – 2

Question 10.

The weights of 11 students selected for a team are noted in ascending order and are in A. P. The lowest value is 45 Kg, and the middle value is 55 Kg. What is the difference between the two values placed consecutively ?

(a) 4

(b) 2

(c) 6

(d) 3

## Answer

Answer: (b) 2

Question 11.

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

(a) 3255

(b) 3825

(c) 4325

(d) 4455

## Answer

Answer: (b) 3825

Question 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

## Answer

Answer: (d) 5n – 3

Question 13.

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

Answer: (c) s – r

Question 14.

If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is

(a) 13

(b) 9

(c) 21

(d) 17

## Answer

Answer: (c) 21

Question 15.

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

## Answer

Answer: (c) 5

Question 16.

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

## Answer

Answer: (c) 5

Question 17.

The n^{th} term of an A.P. 5, 2, -1, -4, -7 … is

(a) 2n + 5

(b) 2n – 5

(c) 8 – 3n

(d) 3n – 8

## Answer

Answer: (c) 8 – 3n

Question 18.

If p, q, r, s, t are the terms of an A.P. with common difference -1 the relation between p and t is:

(a) t = p – 5

(b) t = p – 4

(c) t = p – 6

(d) t = p + 4

## Answer

Answer: (b) t = p – 4

Question 19.

If the sum of n terms of an AP is 3n^{2}+5n then which of its terms is 164?

(a) 27th

(b) 29th

(c) 28th

(c) 26th

## Answer

Answer: (a) 27th

Question 20.

n^{th} term of the sequence a, a + d, a + 2d,… is

(a) a + nd

(b) a – (n – 1)d

(c) a + (n – 1)d

(d) n + nd

## Answer

Answer: (a) a + nd

Question 21.

If 2x, x + 10, 3x + 2 are in A.P., then x is equal to

(a) 0

(b) 2

(c) 4

(d) 6

## Answer

Answer: (d) 6

Question 22.

Find the sum of 12 terms of an A.P. whose nth term is given by a_{n} = 3n + 4

(a) 262

(b) 272

(c) 282

(d) 292

## Answer

Answer: (a) 262

Question 23.

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

## Answer

Answer: (c) 89

Question 24.

The number of two digit numbers divisible by 5 is

(a) 19

(b) 18

(c) 16

(d) 17

## Answer

Answer: (b) 18

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