mat quiz 1

NMMS MAT Number Series Quiz (Pages 18-19)

Identify the missing number in the series.

1. 4, 6, 8, 15, 16, 24, 32, 33, 64, ?

64 42 55 48

Answer: 42 (Series 1: 4, 8, 16, 32, 64; Series 2: 6, 15, 24, 33, 33+9=42)

2. 5, 6, 8, 11, 15, 20, ?

31 25 26 46

Answer: 26 (Difference increases by 1: +1, +2, +3, +4, +5, +6)

3. 1, 4, 9, 16, 25, ?

64 81 49 36

Answer: 36 (Squares of natural numbers: 1², 2², 3², 4², 5², 6²)

4. 1, 1, 2, 3, 5, 8, 13, 21, ?

34 30 29 37

Answer: 34 (Fibonacci series: 13 + 21 = 34)

5. 1, 1, 4, 8, 9, 27, 16, 64, ?

36 25 49 16

Answer: 25 (Pairs of n² and n³: 1,1; 2,8; 3,27; 4,64; Next is 5²=25)

6. 0, 3, 8, 15, 24, ?

80 48 63 35

Answer: 35 (n² - 1: 6² - 1 = 35)

7. 11, 12, 20, 47, ?

91 101 111 121

Answer: 111 (Add cubes: +1³, +2³, +3³; Next is +4³=64. 47+64=111)

8. 5, 7, 10, 15, 22, ?

31 33 35 37

Answer: 33 (Differences are prime numbers: 2, 3, 5, 7; Next is 11. 22+11=33)

9. 2, 3, 5, 8, 13, 21, ?

34 29 30 32

Answer: 34 (Fibonacci Series)

10. 10, 16, 26, 42, ?, 110

58 68 48 66

Answer: 68 (Sum of previous two numbers: 26+42=68)

11. 19, 23, 29, 31, ?

37 33 35 39

Answer: 37 (Successive prime numbers)

12. 2, 8, 18, 32, ?

9 50 64 16

Answer: 50 (2n²: 2x1², 2x2², 2x3², 2x4²; Next is 2x5²=50)

13. 999, 728, 511, ?

342 343 311 340

Answer: 342 (n³ - 1: 10³-1, 9³-1, 8³-1; Next is 7³-1 = 342)

14. 48, 32, 24, 20, ?

16 18 22 14

Answer: 18 (Difference is halved: -16, -8, -4, -2)

15. 72, 68, 60, 48, 32, ?

22 14 12 8

Answer: 12 (Difference increases by 4: -4, -8, -12, -16, -20)

16. 15, 14, 12, 9, ?

6 3 8 5

Answer: 5 (Subtracting -1, -2, -3; Next is -4)

17. 16, 49, 100, 169, ?

196 225 265 256

Answer: 256 (Squares: 4², 7², 10², 13²; Base increases by +3; Next is 16²=256)

18. 1, 1, 2, 8, 3, 27, 4, ?

5 16 64 20

Answer: 64 (Pairs of n, n³: 4, 4³=64)

19. 28, 66, 128, ?

216 220 182 121

Answer: 220 (n³ + (n-2): 3³+1, 4³+2, 5³+3; Next is 6³+4 = 220)

20. 840, 210, 42, 7, ?

0 1 294 49

Answer: 1 (Divide by 4, 5, 6; Next is /7. 7/7=1)

21. 4/5, 8/15, 16/45, ?, 64/405

32/90 32/135 16/135 64/90

Answer: 32/135 (Numerator x2, Denominator x3)

22. 160, 80, 120, 300, ?

1050 1000 1040 1020

Answer: 1050 (x0.5, x1.5, x2.5; Next is x3.5)

23. 24, 28, 19, 35, 10, ?

45 46 44 47

Answer: 46 (Difference squares with alternating signs: +2², -3², +4², -5²; Next +6²=36. 10+36=46)

24. 17, 18, 14, 23, 7, ?

31 32 33 34

Answer: 32 (Squares with alternating signs: +1², -2², +3², -4²; Next +5²=25. 7+25=32)

25. 18, 8, 6, 8, 24, ?

6 48 176 167

Answer: 176 (x0.5 -1, x1 -2, x2 -4, x4 -8; Next x8 -16. 24x8-16 = 176)