Quantitative Aptitude Ques 1619

Question: 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?

Options:

A) $ 4x+6y $

B) $ x+y+4 $

C) $ 9x+4y $

D) $ 4x-9y $

Show Answer

Answer:

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.

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