### Class 10 Maths MCQs Chapter 5 Arithmetic Progressions

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

2. If p, q, r and s are in A.P. then r â€“ q is

(a) s â€“ p

(b) s â€“ q

(c) s â€“ r

(d) none of these

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

4. The (n â€“ 1)th term of an A.P. is given by 7,12,17, 22,â€¦ is

(a) 5n + 2

(b) 5n + 3

(c) 5n â€“ 5

(d) 5n â€“ 3

5. The nth term of an A.P. 5, 2, -1, -4, -7 â€¦ is

(a) 2n + 5

(b) 2n â€“ 5

(c) 8 â€“ 3n

(d) 3n â€“ 8

6. The 10th term from the end of the A.P. -5, -10, -15,â€¦, -1000 is

(a) -955

(b) -945

(c) -950

(d) -965

7. 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

8. The sum of all two digit odd numbers is

(a) 2575

(b) 2475

(c) 2524

(d) 2425

9. The sum of first n odd natural numbers is

(a) 2nÂ²

(b) 2n + 1

(c) 2n â€“ 1

(d) nÂ²

10. If (p + q)th term of an A.P. is m and (p â€“ q)tn term is n, then pth term is

11. If a, b, c are in A.P. then (aâˆ’b)/(bâˆ’c) is equal to

12. The number of multiples lie between n and nÂ² which are divisible by n is

(a) n + 1

(b) n

(c) n â€“ 1

(d) n â€“ 2

13. nth term of the sequence a, a + d, a + 2d,â€¦ is

(a) a + nd

(b) a â€“ (n â€“ 1)d

(c) a + (n â€“ 1)d

(d) n + nd

14. The 10th term from the end of the A.P. 4, 9,14, â€¦, 254 is

(a) 209

(b) 205

(c) 214

(d) 213

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

(a) 0

(b) 2

(c) 4

(d) 6

16. The sum of all odd integers between 2 and 100 divisible by 3 is

(a) 17

(b) 867

(c) 876

(d) 786

17. If the numbers a, b, c, d, e form an A.P., then the value of a â€“ 4b + 6c â€“ 4d + e is

(a) 0

(b) 1

(c) -1

(d) 2

18. If 7 times the 7th term of an A.P. is equal to 11 times its 11th term, then 18th term is

(a) 18

(b) 9

(c) 77

(d) 0

19. The sum of the first 15 multiples of 8 is

(a) 920

(b) 860

(c) 900

(d) 960

20. Next term of the AP âˆš2, 3âˆš2, 5âˆš2, â€¦â€¦. is

(a) 2âˆš7

(6) 6âˆš2

(c) 9âˆš2

(d) 7âˆš2

21. First four terms of the sequence an = 2n + 3 are

(a) 3, 5, 7, 9

(b) 5, 7, 9, 11

(c) 5, 8, 11, 14

(d) 1, 3, 5, 7

22. 20th term of the AP -5, -3, -1, 1, is

(a) 33

(b) 30

(c) 20

(d) 25

23. If nth term of an AP is 7 â€“ 4n, then its common difference is

(a) 4

(b) -4

(c) 3

(d) 11

24. If the sum of first n terms of an AP is An + BnÂ² where A and B are constants. The common difference of AP will be

(a) A + B

(b) A â€“ B

(c) 2A

(d) 2B

25. In an Arithmetic Progression, if a = 28, d = -4, n = 7, then an is:

(a) 4

(b) 5

(c) 3

(d) 7

26. If a = 10 and d = 10, then first four terms will be:

(a) 10, 30, 50, 60

(b) 10, 20, 30, 40

(c) 10, 15, 20, 25

(d) 10, 18, 20, 30

27. The first term and common difference for the A.P. 3, 1, -1, -3 is:

(a) 1 and 3

(b) -1 and 3

(c) 3 and -2

(d) 2 and 3

28. 30th term of the A.P: 10, 7, 4, â€¦, is

(a) 97

(b) 77

(c) -77

(d) -87

29. 11th term of the A.P. -3, -1/2, 2 â€¦. Is

(a) 28

(b) 22

(c) -38

(d) -48

30. The missing terms in AP: __, 13, __, 3 are:

(a) 11 and 9

(b) 17 and 9

(c) 18 and 8

(d) 18 and 9

31. Which term of the A.P. 3, 8, 13, 18, â€¦ is 78?

(a) 12th

(b) 13th

(c) 15th

(d) 16th

32. The 21st term of AP whose first two terms are -3 and 4 is:

(a) 17

(b) 137

(c) 143

(d) -143

33. If 17th term of an A.P. exceeds its 10th term by 7. The common difference is:

(a) 1

(b) 2

(c) 3

(d) 4

34. The** number of multiples of 4 between 10 and 250 is:**

(a) 50

(b) 40

(c) 60

(d) 30

35. 20th term from the last term of the A.P. 3, 8, 13, â€¦, 253 is:

(a) 147

(b) 151

(c) 154

(d) 158

36. The 10th term of the AP: 5, 8, 11, 14, â€¦ is

(a) 32

(b) 35

(c) 38

(d) 185

37. In an AP, if d = -4, n = 7, an = 4, then a is

(a) 6

(b) 7

(c) 20

(d) 28

38. If the 2nd term of an AP is 13 and the 5th term is 25, then its 7th term is

(a) 30

(b) 33

(c) 37

(d) 38

39. Which term of the AP: 21, 42, 63, 84,â€¦ is 210?

(a) 9th

(b) 10th

(c) 11th

(d) 12th

40. What is the common difference of an AP in which a18 â€“ a14 = 32?

(a) 8

(b) -8

(c) -4

(d) 4

41. The sum of first 16 terms of the AP: 10, 6, 2,â€¦ is

(a) â€“320

(b) 320

(c) â€“352

(d) â€“400

42.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

43. 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

44. 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

45. 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

46. 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

47.The 10th term from the end of the A.P. -5, -10, -15,…, -1000 is

(a) -955

(b) -945

(c) -950

(d) -965

48.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

49. The sum of all two digit odd numbers is

(a) 2575

(b) 2475

(c) 2524

(d) 2425

50. 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

## Class 10 Maths MCQs Chapter 5 Arithmetic Progressions

Class 10 Maths MCQs Chapter 5 Arithmetic Progressions

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