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selango wrote:If y ≠3 and 2x/y is a prime integer greater than 2, which of the following must be true?
I. x = y
II. y = 1
III. x and y are prime integers.
2x/y is prime >2
2x>2y
x>y
Hence I is false
if y =1
2x is a prime integer >2
2x cannot be prime except when x=1. But x cannot be 1 because 2x>2.
II is not true.
x and y are prime integers.
If x and y are both prime, then x/y is not an integer, except when both are equal.
But both cant be equal.
Hence both x and y cant be prime.
III is also not true.
pick A
kvcpk wrote:x/y may not be an integer if both x and y are prime, but 2x/y can be an integer if y=2. And 2 is a prime integer which means x and y are both prime integers.selango wrote:
x and y are prime integers.
If x and y are both prime, then x/y is not an integer, except when both are equal.
But both cant be equal.
Hence both x and y cant be prime.
III is also not true.
pick A
Answer Choice: D
The question says MUST BE TRUE. Even if the x and y are composite, we can get a prime integer for 2x/y.vipin85 wrote:
x/y may not be an integer if both x and y are prime, but 2x/y can be an integer if y=2. And 2 is a prime integer which means x and y are both prime integers.
Answer Choice: D
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