Bunuel wrote:
gmatcracker2017 wrote:
Bunuel wrote:
7. Is x the square of an integer?
The question basically asks whether x is a perfect square (a perfect square, is an integer that is the square of an integer. For example 16=4^2, is a perfect square).
Perfect square always haseven powers of its prime factors .The reverse is also true: if a number has even powers of its prime factors then it's a perfect square . For example:\(36=2^2*3^2\) , powers of prime factors 2 and 3 are even.
(1) When x is divided by 12 the remainder is 6. Given that\(x=12q+6=6(2q+1)=2*3*(2q+1)\)
The question basically asks whether x is a perfect square (a perfect square, is an integer that is the square of an integer. For example 16=4^2, is a perfect square).
Perfect square always haseven powers of its prime factors .The reverse is also true: if a number has even powers of its prime factors then it's a perfect square . For example:\(36=2^2*3^2\) , powers of prime factors 2 and 3 are even.
(1) When x is divided by 12 the remainder is 6. Given that\(x=12q+6=6(2q+1)=2*3*(2q+1)\)
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