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21. What will come at the place of question mark ?
2816, ? , 176, 44, 11.

Discuss
Solution:

Logic: Next term = Previous term /4
2816 /4 = 704
704 /4 = 176.
176 /4 = 44.
44 /4 = 11.

22. What will come at the place of question mark ?
113, 225, 449, ? , 1793

Discuss
Solution:

113
113 * 2 = 226 -1 = 225
225 * 2 = 450 -1 = 449
449 * 2 = 898 - 1 = 897
897 * 2 = 1794 -1 = 1793

23. Which of the following will come in place of the question mark (?) in the following sequence?

PRODUCTIVITY, RODUCTIVIT, ODUCTIVI, ?

Discuss
Solution:


PRODUCTIVITY = RODUCTIVIT.(First and last letters are removed.)

RODUCTIVIT = ODUCTIVI.

ODUCTIVI = DUCTIV.

24. What will come at the place of question mark ?
6, 24, 60,120, 210, ?

Discuss
Solution:

First Number = 1 *2 *3 = 6
Second Number = 2*3*4 = 24
Third Number = 3*4*5 = 60
Fourth Number = 4*5*6 = 120
Fifth Number = 5*6*7 = 210
Sixth Number = 6*7*8 = 336.

Alternatively,

2*2*2-2=6
3*3*3-3=24
4*4*4-4=60
5*5*5-5=120
6*6*6-6=210
7*7*7-7=336.

25. What will come at the place of question mark ?
6, 11, 31, 121, 601, ?

Discuss
Solution:

Logic:
First Term = 6.

Second term = 6*2 -1 = 11.

Third term = 11* 3 - 2 = 31.

Fourth term = 31 *4 - 3 = 124 -3 = 121.

Fifth term = 121*5 - 4 = 601.

Sixth term = 601 *6 = 3606 - 5 = 3601.

26. What will come at the place of question mark ?
7, 11, 19, 35, 67, ?

Discuss
Solution:
Logic:
Last Term *2 - 3 = Next Term.
First Term = 7
Second Term = 7 * 2 -3 = 11
Third Term = 11 * 2 - 3 = 19
Fourth Term = 19 * 2 - 3 = 35
Fifth Term = 35 * 2 - 3 = 67
Sixth Term = 67 * 2 -3 = 131
Alternative Solution :
Last term + 2n = Next Term
First Term = 7
Second Term = 7 + 22 = 11
Third Term = 11 + 23 = 19
Fourth Term = 19 + 24 = 35
Fifth Term = 35 + 25 = 67
Sixth Term = 67 + 26 = 131
27. What will come at the place of question mark ?
8, 22, 64, 190, 568, ?

Discuss
Solution:
Logic:
Previous Term * 3 - 2 = Next term.
First Term = 8
Second term = 8 * 3 - 2 = 24 - 2 = 22
Third term = 22 * 3 - 2 = 64
Fourth term = 64 * 3 - 2 = 190
Fifth Term = 190 * 3 - 2 = 568
Sixth Term = 568 * 3 - 2 = 1704 - 2 = 1702
28. What will come at the place of question mark ?
5760,2880,960, 240, 48, ?

Discuss
Solution:

First Term = 5760.

Second term = 5760 /2 = 2880.

Third Term = 2880/3 = 960.

Fourth term = 960/4 = 240.

Fifth term = 240/5 = 48.

So,Required term = 48/6 = 8.

29. 2, 1, 1/2, 1/4, . . . . . . What number should come next?

Discuss
Solution:
This is a simple division series; each number is one-half of the previous number.
In other terms to say, the number is divided by 2 successively to get the next result.
4/2 = 2
2/2 = 1
1/2 = 1/2
1/2/2 = 1/4
1/4/2 = 1/8 and so on.
30. 7, 10, 8, 11, 9, 12, ... What number should come next?

Discuss
Solution:
This is a simple alternating addition and subtraction series. In the first pattern, 3 is added; in the second, 2 is subtracted.
Alternate Solution :
Above Series contains two sub series in it
Series 1st = 7, 8, 9, 10
Series 2nd = 10, 11, 12

Note : Both sub series is in ascending order. Next number is greater by 1 from the previous one.

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