Friday 28 October 2011

Numbers-7 (CAT-2002)

Number S is equal to the square of the sum of digits of a 2 digit number D. if the difference between S and D is 27, then D is:
(1)32   (2)64   (3)54   (4)52
Solution follows here:

Solution:
Best approach for this problem is going from the given options:
Option(1); D=32 => S = (3+2)2 = 25;  D-S = 7 ≠ 27 => option is wrong
Option(2); D=64 => S = (6+4)2 = 100;  S-D = 36 ≠ 27 => option is wrong        
Option(3); D=54 => S = (5+4)2 = 81;  S-D = 27 => option is correct
Answer (3)

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