Mechmeera wrote:If y and z are positive integers, is yz a multiple of 64?
(1) square_root of y is a multiple of 8.
(2) square_root of y/z is a multiple of 8.
64 = 8*8.
Statement 1:
√y = 8, 16, 24, 32...
y = 8², 16², 24², 32²...
Since every option for y is divisible by 8*8, yz must be a multiple of 64.
SUFFICIENT.
Statement 2:
√(y/z) = 8, 16, 24, 32...
y/z = 8², 16², 24², 32²...
y = 8²z, 16²z, 24²z, 32²z...
Since every option for y is divisible by 8*8, yz must be a multiple of 64.
SUFFICIENT.
The correct answer is
D.
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