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.
BETA
