# Simplification- Aptitude Questions and Answers

If the 8 digit number 5668X25Y is divisible by 48. Find the least value of X + Y ?

A)
10

B)
8

C)
9

D)
7

10

Explanation :

if 5668X25Y is divisible by 48 then it should be divisible by co-prime of 48.
There, 3*16 =>3*2*8 =>3*2*2*4=48 where 2, 3, 4, 8 and 16 are co-prime numbers of 48.

5668X25Y divisible by 8 , that means last 3 digit, 25Y should be divisible by 8.
So, Y should be 6

5668X256 to be divisible by 3, that means sum of digits 5+6+6+8+X+2+5+6 should be divisible by 3
So, 38+X is divisible by 3, that means X will be = 1 or 4 or 7

5668X256 divisible by 16,that means last four digits X256 should be divisible by 16
So, suppose X=1, then last four digits 1256 is not divisible by 16.
suppose X=4, then last four digits 4256 is divisible by 16.
suppose X=7, then last four digits 7256 is not divisible by 16.

Hence the correct number is 56684256,which is divisible by 48.
Therefore, least value of X+Y=4+6=10

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