Directions:(1-5) Find the next term in the series.

1. 1328, 996, 724, 506, 336, ?

Ans: 2
The pattern is as follows:
113 – 3 = 1328
103 – 4 = 996
93 – 5 = 724
83 – 6 = 506
73 – 7 = 336
63 – 8 = 208

 

2. 16, 24, 34, 46, 60, ?

Ans: 5
The pattern is as follows:
2 x 4 + 8 = 16
3 x 5 + 9 = 24
4 x 6 + 10 = 34
5 x 7 + 11 = 46
6 x 8 + 12 = 60
7 x 9 + 13 = 76

 

3. 361, 432, 505, 584, 667, ?

Ans: 2
Consecutive prime numbers are added to the number:
361 + 71 = 432
432 + 73 = 505
505 + 79 = 584
584 + 83 = 667
667 + 89 = 756

 

4. 492, 448, 406, 366, 328, ?

Ans: 1
The pattern is as follows:
222 + 8 = 492|
212 + 7 = 448
202 + 6 = 406
192 + 5 = 366
182 + 4 = 328
172 + 3 = 292

 

5. 6, 20, 48, 90, 146, ?

Ans: 1
The pattern is as follows:
6 + 14 x 1 = 20
20 + 14 x 2 = 48
48 + 14 x 3 = 90
90 + 14 x 4 = 146
146 + 14 x 5 = 216

 

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

6. 4, 6, 10, 14, 22, 26, ?

Ans: 1
The series is 2×2, 2×3, 2×5, 2×7, 2×11, 2×13, 2×17. (2,3,5,7,11,13,17 are prime numbers.)

 

7. 8, 20, 70, 315, ?

Ans: 4
The pattern is:
8 X 2.5 = 20, 20 X 3.5 = 70, 70 X 4.5 = 315, 315 X 5.5 = 1732.5

 

8. 69, 72, 76, 77, 83, 82, 90 ?

Ans: 2
The numbers at odd positions increase by 7 and the numbers at even positions increase by 5.
The number is 82+5 = 87.

 

9. 11, 10, 18, 51, 200, ?

Ans: 4
(11-1)x1 = 10, (10-1)x2 = 18, (18-1)x3 = 51, (51-1)x4 = 200, (200-1)x5 = 995

 

10. 4, 200, 369, 513, 634, ?,

Ans: 3
4+142 = 200, 200+132 = 369, 369+122 = 513, 513+112 = 634, 634+102 = 734

 

8 thoughts on “Number Series”

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