## MCQ Questions for Class 10 Maths: Ch 5 Arithmetic Progressions 1. 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
► (d) 5n – 3

2. The number of two digit numbers divisible by 5 is
(a) 19
(b) 18
(c) 16
(d) 17
► (b) 18

3. What is the sum of the first 50 multiples of 3?​
(a) 3255
(b) 3825
(c) 4325
(d) 4455
► (b) 3825

4. 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

5. 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
► (b) 2

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
► (a) 262

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
► (d) n – 2

8. If 2x, x + 10, 3x + 2 are in A.P., then x is equal to
(a) 0
(b) 2
(c) 4
(d) 6
► (d) 6

9. If p, q, r are in AP, then p3 + r3 – 8q3 is equal to
(a) 4pqr
(b) -6pqr
(c) 2pqr
(d) 8pqr
► (b) -6pqr

10. nth 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
► (a) a + nd

11. 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

12. If the sum of n terms of an AP is 3n2+5n then which of its terms is 164?​
(a) 27th
(b) 29th
(c) 28th
(c) 26th
► (a) 27th

13. The sum of all two digit odd numbers is
(a) 2575
(b) 2475
(c) 2524
(d) 2425
► (b) 2475

14. 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
► (b) t = p – 4

15. 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
► (b) 28

16. The nth term of an A.P. 5, 2, -1, -4, -7 … is
(a) 2n + 5
(b) 2n – 5
(c) 8 – 3n
(d) 3n – 8
► (c) 8 – 3n

17. How many terms are there in 20, 25, 30......... 140
(a) 22
(b) 25
(c) 23
(d) 24
► (b) 25

18. 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
► (c) 5

19. Find the next two terms of the A.P.:- -10, -6,-2…
(a) 4,8
(b) -4,-8
(c) 2,6
(d) 6,10
► (c) 2,6

20. 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
► (c) 5

21. 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

22. 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
► (c) 21

23. 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

24. 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
► (c) s – r