If x and y are positive integers such that 3x 7y is a multiple of 11 then which of the following wil...........

Quantitative Aptitude ( CCS) Number System

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?

4x + 6y

x + y + 4

9x + 4y

4x – 9y

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Explanation:

we get x=5 and y=1 such that 3x + 7y = 15 + 7 = 22 is a multiple of 11.
Then
(4x + 6y) = (4 × 5 + 6 × 1) = 26 which is not divisible by 11
(x + y + 4) = (5 + 1 + 4) = 10 which is not divisible by 11
(9x + 4y) = (9 × 5 + 4 × 1) = 49 which is not divisible by 11
(4x - 9y) = (4 × 5 - 9 × 1) = 20 - 9 = 11 which is divisible by 11

Hence, option 4 is the correct answer.