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Question

If the number 5x924 is divisible by 9 and 4, then it must be divisible by 3y. The value of x+y is

A
13
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B
14
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C
15
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D
None of the above.
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Solution

The correct option is A 13
We know that 9 and 4 are relatively prime numbers because both 9 and 4 have no common factor between them other than 1.

We also know that factors of 36 are 9 and 4.

Hence, the given number is divisible by 36.
y = 6

Given that 5x924 is divisible by 9 and 4
recalling divisibility rule of 9,
5 + x + 9 + 2 + 4 = 20 + x should be a multiple of 9

Possible value of x is 7 because 27 is the multiple of 9.
x+y = 7+6 = 13

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