16, 33, 65, 131, 261, (....)
523
521
613
721
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Answer : Option A
Explanation :
Each number is twice the preceding one with 1 added or subtracted alternatively.
So, the next number is (2 x 261 + 1) = 523.
10, 5, 13, 10, 16, 20, 19, (....)
22
40
38
23
Answer : Option B
There are two series (10, 13, 16, 19) and (5, 10, 20, 40), one increasing by 3 and the other multiplied by 2.
1, 4, 9, 16, 25, 36, 49, (....)
54
56
64
81
Answer : Option C
Numbers are 12, 22, 32, 42, 52, 62, 72.
So, the next number is 82 = 64.
2, 4, 12, 48, 240, (....)
960
1440
1080
1920
Go on multiplying the given numbers by 2, 3, 4, 5, 6.
So, the correct next number is 1440.
8, 7, 11, 12, 14, 17, 17, 22, (....)
27
20
24
There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively.
11, 13, 17, 19, 23, 29, 31, 37, 41, (....)
43
47
53
51
Numbers are all primes. The next prime is 43.
8, 24, 12, 36, 18, 54, (....)
108
68
72
Numbers are alternatively multiplied by 3 and divided by 2.
So, the next number = 54 ÷ 2 = 27.
2, 6, 12, 20, 30, 42, 56, (....)
61
70
The pattern is 1 x 2, 2 x 3, 3 x 4, 4 x 5, 5 x 6, 6 x 7, 7 x 8.
So, the next number is 8 x 9 = 72.
4, -8, 16, -32, 64, (....)
128
-128
192
-192
Each number is the proceeding number multiplied by -2.
So, the required number is -128.
7, 26, 63, 124, 215, 342, (....)
481
511
391
421
Numbers are (23 - 1), (33 - 1), (43 - 1), (53 - 1), (63 - 1), (73 - 1) etc.
So, the next number is (83 - 1) = (512 - 1) = 511.
5, 10, 13, 26, 29, 58, 61, (....)
122
125
Numbers are alternatively multiplied by 2 and increased by 3.
So, the missing number = 61 x 2 = 122.
15, 31, 63, 127, 255, (....)
513
517
Each number is double the preceding one plus 1.
So, the next number is (255 x 2) + 1 = 511.
1, 8, 27, 64, 125, 216, (....)
354
343
392
245
Numbers are 13, 23, 33, 43, 53, 63.
So, the missing number is 73 = 343.
3, 7, 6, 5, 9, 3, 12, 1, 15, (....)
18
13
-1
3
There are two series, beginning respectively with 3 and 7. In one 3 is added and in another 2 is subtracted.
The next number is 1 - 2 = -1.
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