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Placement Questions & Answers :: IBM

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11. Find the next term of the following series.
3, 1, 13, 11, 31, 29, ?

Answer: 57

Explanation:

1^2+2=3, 2^2-3=1, 3^2+4=13, 4^2-5=11, 5^2+6=31, 6^2-7=29, 7^2+8=57.

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12. Find the next term of the following series.
6,120, 504, 1320, ?

Answer: 2730

Explanation:

2^3-2-=6, 5^3-5=120, 8^3-8=504, 11^3=1320, 14^3=2730.

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13. Find the next term of the following series.
2, 7, 36, 4, 14, 225, 6, 21, ?

Answer: 576

Explanation:

2, 7, 36, 4, 14, 225, 6, 21, ?
Break the above series as below
2, 4, 6 -------- (1)
7,14,21 -------- (2)
6^2, 15^2 ------- (3)
from (3) 6,15, diff is (+9) so it will 15+9 = 24
24^2 = 576

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14. Find the next term of the following series.
23,8,34,81,33,?

Answer: 27

Explanation:

23 => 2^3=8
34 => 3^4=81
33 => 3^3=27.

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15. Find the next term of the following series.
20,21,23,24,27,28,32,33,?

Answer: 38

Explanation:

20,21 / 23,24 / 27,28 / 32,33 / 37
+1 , +2, +3, +4

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16. 

Find the next term of the following series.



16,19,23,26,30,?


Answer: 33

Explanation:

16,19 / 23,26 / 30, 33



+3, +4

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17. Find the next term of the following series.
21,24,22,25,23,26,24,?

Answer: 27

Explanation:

Break the series as below
21 __, 22,__,23,__24,
__,24,__,25,__,26,__,27

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18. Find the next term of the following series.
1/4,1/4,1/2,3/2,6,?

Answer: 30

Explanation:

1/4 * 1 = 1/4, 1/4 * 2 = 1/2
1/2*3 = 3/2, 3/2 * 4 = 6, 6 * 5 = 30.

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19. Find the next term of the following series.
-16, -8, -4, -24, -12, -6, -40,?

Answer: -20

Explanation:

-16, -8, 4 / 24, 12, -6 / -40, -20,
divide by 2 to get element.

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20. Find the next term of the following series.
42,44,28,29,30,42,43,27,28,?

Answer: 29

Explanation:

"42,44 / 28,29,30 / 42,43 / 27,28,29
+1 in second sub-series."

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