Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-3

If x and y are positive integers such that \[(3x+7y)\] is a multiple of 11, then which of the following will be divisible by 11?

A) \[4x+6y\]

B) \[x+y+4\]

C) \[9x+4y\]

D) \[4x-9y\]

Correct Answer: D

Solution :

[d] By hit and trial, we put \[x=5\]and \[y=1,\]so that

\[(3x+7y)=(3\times 5+7\times 1)=22\]

which is divisible by 11.

\[\therefore \] \[(4x+6y)=(4\times 5+6\times 1)=26\]

which is not divisible by 11;

\[(x+y+4)=(5+1+4)=10\]

which is not divisible by 11;

\[(9x+4y)=(9\times 5+4\times 1)=49\]

which is not divisible by 11;

\[(4x-9y)=(4\times 5-9\times 1)=11\]

which is divisible by 11.