Directions:(1-5) Find the wrong term in the series given below.

1. 51, 60, 79, 134, 215, 336

Ans:2
The pattern is as follows:

51 + 32 = 60

60 + 52 = 85

85 + 72 = 134

134 + 92 = 215

215 + 112 = 336

 

2. 151, 182, 251, 386, 605, 956

Ans:5
The pattern is as follows:

151 + 33 + 4 = 182

182 + 43 + 5 = 251

251 + 53 + 6 = 382

382 + 63 + 7 = 605

605 + 73 + 8 = 956

 

3. 2, 3, 60, 420, 3360, 30240

Ans:4
The pattern is as follows:

2 x 5 = 10

10 x 6 = 60

60 x 7 = 420

420 x 8 = 3360

3360 x 9 = 30240

 

4. 24, 24, 33, 39, 51, 57

Ans:2
The next number is obtained by adding sum of digits of the previous number:

24 + 2 + 4 = 30

30 + 3 + 0 = 33

33 + 3 + 3 = 39

39 + 3 + 9 = 51

51 + 5 + 1 = 57

 

5. 38, 52, 94, 164, 268, 388

Ans:5
The pattern is as follows:

38 + 14 x 1 = 52

52 + 14 x 3 = 94

94 + 14 x 5 = 164

164 + 14 x 7 = 262

262 + 14 x 9 = 388

 

Directions:(6-10) What should come in place of the question mark (?) in the following number series?

6. 15, 17, 22, 33, 50, ?

Ans:2
The pattern adds alternate prime numbers to the previous term:

15 + 2 = 17

17 + 5 = 22

22 + 11 = 33

33 + 17 = 50

50 + 23 = 73

 

7. 7529536, 537824, 38416, 2744, 196, ?

Ans:5
The pattern is as follows:

7529536/14 = 537824

537824/14 = 38416

38416/14 = 2744

2744/14 = 196

196/14 = 14

 

8.15.21, 16.81, 18.49, 20.25, ?

Ans:2
The pattern is (3.9)2, (4.1)2, (4.3)2, (4.5)2, (4.7)2

 

9. 5, 5, 12, 38, 101, ?

Ans:5
The pattern is,
5 + (13 – 1) = 5, 5 + (23 – 1) = 12, 12 + (33 – 1) = 38, 38 + (43 – 1) = 101, 101 + (53 – 1) = 225

 

10. 17, 27, 39, 53, ?

Ans:1
The pattern is 3×5+2=17, 4×6+3=27, 5×7+4=39, 6×8+5=53, 7×9+6=69

 

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13 thoughts on “Number Series”

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