Tuesday, July 21, 2015

Reasoning Quiz On Numerical Series

1.       16, 33, 65, 131, 261, (....)
        A. 523           
        B. 521
        C. 613           
        D. 721


2.       10, 5, 13, 10, 16, 20, 19, (....)
        A. 22             
        B. 40
        C. 38             
        D. 23

3.       1, 4, 9, 16, 25, 36, 49, (....)
        A.    54          
        B.    56
        C.    64          
        D.    81

4.       2, 4, 12, 48, 240, (....)
        A.    960        
        B.    1440
        C.    1080      
        D.    1920

5.       8, 7, 11, 12, 14, 17, 17, 22, (....)
        A.    27          
        B.    20
        C.    22          
        D.    24

6.       11, 13, 17, 19, 23, 29, 31, 37, 41, (....)
        A.    43          
        B.    47
        C.    53          
        D.    51
.
7.       8, 24, 12, 36, 18, 54, (....)
        A.    27          
        B.    108
        C.    68          
        D.    72

8.       2, 6, 12, 20, 30, 42, 56, (....)
        A.    61          
        B.    64
        C.    72          
        D.    70

9.       4, -8, 16, -32, 64, (....)
        A.    128        
        B.    -128
        C.    192        
        D.    -192

10.   7, 26, 63, 124, 215, 342, (....)
        A.    481        
        B.    511
        C.    391        
        D.    421

Answers with Explanation:-
1.       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.
2.       B
        Explanation:
        There are two series (10, 13, 16, 19) and (5, 10, 20, 40), one increasing by 3 and the other multiplied by 2.
3.       C
        Explanation:
        Numbers are 1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2.
        So, the next number is 8^2 = 64.
4.       B
        Explanation:
        Go on multiplying the given numbers by 2, 3, 4, 5, 6.
        So, the correct next number is 1440.
5.       B
        Explanation:
        There are two series (8, 11, 14, 17, 20) and (7, 12, 17, 22) increasing by 3 and 5 respectively.
6.       A
        Explanation:
        Numbers are all primes. The next prime is 43
7.       A
        Explanation:
        Numbers are alternatively multiplied by 3 and divided by 2.
        So, the next number = 54 ÷ 2 = 27.
8.       C
        Explanation:
        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.
9.       B
        Explanation:
        Each number is the proceeding number multiplied by -2.
        So, the required number is -128.
10.   B
        Explanation:
        Numbers are (2^3 - 1), (3^3  - 1), (4^3  - 1), (5^3  - 1), (6^3  - 1), (7^3  - 1) etc.
         So, the next number is (8^3  - 1) = (512 - 1) = 511.

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