Directions:(1-5) What should come in place of the question mark (?) in the following number series?

1. 54, 105, 174, 261, ?

Ans: 3
The pattern is 72+5=54, 102+5=105, 132+5=174, 162+5=261, 192+5=366

 

2. 32, 48, 120, 420, ?, 10395

Ans: 4
The pattern is:
32×1.5 = 48, 48×2.5=120, 120×3.5=420, 420×4.5=1890, 1890×5.5=10395

 

3. 647, 168, 48, ?, 6

Ans: 2
The next term is the product of digits of the previous terms.
6x4x7=168, 1x6x8=48, 4×8=32, 3×2=6

 

4. 13, 16, 24, 39, 63, 98, ?

Ans: 5
The pattern is:
13 + (22 – 1) = 16, 16 + (32 – 1) = 24, 24 + (42 – 1) = 39, 39 + (52 – 1) = 63, 63 + (62 – 1) = 98, 98 + (72 – 1) = 146

 

5. 362, 183, 64, 20, 9, ?

Ans: 5
The pattern is: 362÷2+2=183, 183÷3+3=64, 64÷4+4=20, 20÷5+5=9, 9÷6+6=7.5

 

Directions:(6-10) Find the next term in the series.

6. 3, 9, 36, 180, 1080, ?

Ans: 5
The pattern is as follows:
3 x 3 = 9
9 x 4 = 36
36 x 5 = 180
180 x 6 = 1080
1080 x 7 = 7560

 

7. 46656, 7776, 1296, 216, 36, ?

Ans: 5
The pattern is as follows:
3 x 3 = 9
9 x 4 = 36
36 x 5 = 180
180 x 6 = 1080
1080 x 7 = 7560

 

8. 5718, 5618, 5474, 5278, 5022, ?

Ans: 2
The pattern is as follows:
5718 – 102 = 5618
5618 – 122 = 5474
5474 – 142 = 5278
5278 – 162 = 5022
5022 – 182 = 4698

 

9. 66, 66, 132, 198, 330, 528, ?

Ans: 5
The pattern is as follows:
66 + 66 = 132
66 + 132 = 198
132 + 198 = 330
198 + 330 = 528
330 + 528 = 858

 

10. 748, 759, 768, 775, 780, ?

Ans: 3
The pattern is as follows:
34 x 22 = 748
33 x 23 = 759
32 x 24 = 768
31 x 25 = 775
30 x 26 = 780
29 x 27 = 783

 

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13 thoughts on “Number Series”

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