Given
6 3 3 6 24 ?
Here
6
6 x 0.5 = 3
3 x 1 = 3
3 x 2 = 6
6 x 4 = 24
24 x 8 = 192
The next number in the given series is 192.
All except Parrot are birds of prey.
The given number series follows a pattern that
196, 169, 144, 121, 100, 81, ?
-27 -25 -23 -21 -19 -17
=> 81 - 17 = 64
Therefore, the series is 196, 169, 144, 121, 100, 81, 64.
The numbers are 7 x 8, 8 x 9, 9 x 10, 10 x 11, 11 x 12, 12 x 13.
So, 150 is wrong.
The terms of the series are products of two consecutive prime numbers i.e.
(2 x 3), (3 x 5), (5 x 7), (7 x 11),.....
So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.
343 = , 1331 = , 2197 = , 121 =
343, 1331, 2197 are perfect cubes, but not 121.
1 x 1 + 1 x 1 = (1 + 1) = 2
2 x 2 + 2 x 2 = (4 + 4) = 8
8 x 3 + 3 x 3 = (24 + 9) = 33
33 x 4 + 4 x 4 = (132 + 16) = 148
148 x 5 + 5 x 5 = (740 + 25) = 765.
The given series follows the pattern that,
18, 97, 26, 91, ?, 83
=> 18 + 8 = 26
=> 97 - 8 = 91
=> 26 + 8 = 34
=> 91 - 8 = 83
Hence, the missing number is 34.
48, 54, 63, 81 and 105 are divisible by 3 but not 35.
Except 437 all others are prime numbers.
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