Arithmetic Progressions MCQs Mock Test of 10th Class Mathematics

Welcome to your Arithmetic Progressions MCQs Mock Test of 10th Class Mathematics

1.

Question 1. The sum of first n terms of the series a, 3a, 5a, …….. is

(a) na

(b) (2n – 1) a

(c) n²a

(d) n²a²

2.

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

(a) 4

(b) 5

(c) 3

(d) 7

3.

Question 3. 37th term of the AP: √x, 3√x, 5√x, …….. is

(a) 37 √x

(b) 39 √x

(c) 73 √x

(d) 75 √x

4.

4. 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

5.

Question 5. Which term of the AP: 92, 88, 84, 80 … is 0?

(a) 23

(b) 32

(c) 22

(d) 24

6.

6. 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

7.

Question 7. The common difference of the AP … -4, -2, 0, 2, …. is

(a) 2

(b) -2

(c) 12

(d) –12

8.

8. 30th term of the A.P: 10, 7, 4, …, is

(a) 97

(b) 77

(c) -77

(d) -87

9.

9. 11th term of the A.P. -3, -1/2, 2 …. Is

(a) 28

(b) 22

(c) -38

(d) -48

10.

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

(a) 11 and 9

(b) 17 and 9

(c) 18 and 8

(d) 18 and 9

11.

11. Which term of the A.P. 3, 8, 13, 18, … is 78?

(a) 12th

(b) 13th

(c) 15th

(d) 16th

12.

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

(a) 17

(b) 137

(c) 143

(d) -143

13.

13. 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

14.

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

(a) 50

(b) 40

(c) 60

(d) 30

15.

15. 20th term from the last term of the A.P. 3, 8, 13, …, 253 is:

(a) 147

(b) 151

(c) 154

(d) 158

16.

16. The sum of the first five multiples of 3 is:

(a) 45

(b) 55

(c) 65

(d) 75

17.

17. The 10th term of the AP: 5, 8, 11, 14, … is

(a) 32

(b) 35

(c) 38

(d) 185

18.

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

(a) 6

(b) 7

(c) 20

(d) 28

19.

19. 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

20.

20. 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

21.

21. Which term of the AP: 21, 42, 63, 84,… is 210?

(a) 9th

(b) 10th

(c) 11th

(d) 12th

22.

22. What is the common difference of an AP in which a18 – a14 = 32?

(a) 8

(b) -8

(c) -4

(d) 4

23.

23. The famous mathematician associated with finding the sum of the first 100 natural numbers is

(a) Pythagoras

(b) Newton

(c) Gauss

(d) Euclid

24.

24. The sum of first 16 terms of the AP: 10, 6, 2,… is

(a) –320

(b) 320

(c) –352

(d) –400

25.

25. 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

26.

26. 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

27.

27. 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

28.

28. 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

29.

29. 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

30.

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

(a) -955

(b) -945

(c) -950

(d) -965

31.

31. 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

32.

32. The sum of all two digit odd numbers is

(a) 2575

(b) 2475

(c) 2524

(d) 2425

33.

33. The sum of first n odd natural numbers is

(a) 2n²

(b) 2n + 1

(c) 2n – 1

(d) n²

34.

34. 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

35.

35. If a, b, c, d, e are in A.P., then the value of a – 4b + 6c – 4d + e is

(a) 0

(b) 1

(c) -1.

(d) 2

36.

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

(a) 17

(b) 867

(c) 876

(d) 786

37.

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

(a) 0

(b) 1

(c) -1

(d) 2

38.

38. 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

39.

Question 39. The sum of the first 15 multiples of 8 is

(a) 920

(b) 860

(c) 900

(d) 960

40.

Question 40. Next term of the AP √2, 3√2, 5√2, ……. is

(a) 2√7

(6) 6√2

(c) 9√2

(d) 7√2

41.

Question 41. 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

42.

Question 42. 20th term of the AP -5, -3, -1, 1, is

(a) 33

(b) 30

(c) 20

(d) 25

43.

Question 43. If nth term of an AP is 7 – 4n, then its common difference is

(a) 4

(b) -4

(c) 3

(d) 11

44.

Question 44. If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be

(a) A + B

(b) A – B

(c) 2A

(d) 2B

45.

Question 45. The 10th term of the sequence √3, 12−−√, 27−−√; …… is

(a) 243−−−√

(b) 300−−−√

(c) 363−−−√

(d) 432

46.

Question 46. Sum of n terms of the series √2 + √8 + 18−−√ + 32−−√ + …… is

(a) n(n+2)√2

(b) √2 n(n+1)

(c) n(n+1)√2

(d) 1

47.

Question 47. If p – 1, p + 3, 3p – 1 are in AP, then p is equal to

(a) 4

(b) -4

(c) 2

(d) -2

48.

Question 48. The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to.

(a) 10

(b) 11

(c) 12

(d) 13

49.

Question 49. If the sum of the first m terms of an AP is n and the sum of its n terms is m, then the sum of its (m + n) terms will be

(a) m + n

(b) -(m + n)

(c) m – n

(d) 0

50.

Question 50. If nth term of an AP is given by fn = 3n + 4, find the common difference of the AP

(a) 3

(b) 2

(c) 4

(d) 7

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