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Placement Questions & Answers :: IBM

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21. 

Find the next term of the following series.



4,3,6,5,11,10,19,18,30,29,?


Answer: 44

Explanation:

Break the series as below, Alternate series 4,6,11,19,30,?



Difference +2,+5,+8,+11,+14



so next element 30+14 = 44

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22. Find the next term of the following series.
16,18,21,25,?

Answer: 30

Explanation:

16,18,21,25,30
+2, +3, +4, +5

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23. Find the next term of the following series.17,18,17,19,20,19,21,22,21,23,24,?

Answer: 23

Explanation:

Break the series as below
17,18,17 / 19,20,19 / 21,22,21 / 23,24,24

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24. Find the next term of the following series.56,89,33,21,7,88,35,19,60,85,30,?

Answer: 15

Explanation:

Arrange the series as below
(56,89,33,21) / (57,88,35,19) / (60,85,39,?)
Do the group comparison
56+1=57
89-1=88
33+2=35
21-2=19
similarly for other group
57+3=60
88-3=85
35+4=39
19-4=15
so next element will be 15.

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25. Find the next term of the following series.1/2,16,4,15,3,56,?

Answer: 28/3

Explanation:

Break the series as below
1/2, 4, 3
16/4 = 4
15/5 = 3
56/6 =28/3
So next occurrence = 28/3.

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26. Find the next term of the following series.
4 ,3 ,144 ,1.5 ,2 ,9 ,3.2 ,2, ?

Answer: 40.96

Explanation:

4*3=12.........12^2 = 144
1.5*2=3........3^2 = 9
3.2*2 = 6.4.........6.4^2 = 40.96.

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27. Find the next term of the following series.
27,28,43,29,30,41,31,32,?

Answer: 39

Explanation:

27,28 / 43 / 29,3 / ,41 / 31,32 / 39

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28. Find the next term of the following series.
38,37,35,34,32,31,?

Answer: 29

Explanation:

38,37 / 35,34 / 32,31 / 29
-2 for next sub-series.

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29. Find the next term of the following series.
38,33,28,37,32,27,36,?

Answer: 31

Explanation:

---1-----2------1------2-----1--
38,33 / 28 / 37,32 / 27 / 36,31
-5 in first sub-series.

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30. Find the next term of the following series.
3, 10, 13, 20, 23, 30, ?

Answer: 33

Explanation:

3, 10, 13, 20, 23, 30, ?
For given series +7, +3, +7, +3, +7, +3 3+10=13,
10+3=13,
13+7=20,
20+3 = 23,
23+7=30.
similarly 30+3=33

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