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Re: If y ≠ 3 and 2x/y is a prime integer greater than 2, which o [#permalink]

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24 Sep 2011, 18:09

maheshsrini wrote:

If y not= 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. (A) None (B) I only (C) II only (D) III only (E) I and II

I. x = y. Not true AS 2x/y will become 2

II. y = 1 III. x and y are prime integers. x=26; y=4; Falsifies both II & III, without violating any of the conditions.

Re: If y ≠ 3 and 2x/y is a prime integer greater than 2, which o [#permalink]

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24 Sep 2011, 21:42

"A" from my side as well. No option satisfy the criteria.

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Re: If y ≠ 3 and 2x/y is a prime integer greater than 2, which o [#permalink]

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26 Jul 2014, 20:29

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Re: If y ≠ 3 and 2x/y is a prime integer greater than 2, which o [#permalink]

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27 Jul 2014, 03:10

Expert's post

maheshsrini 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.

(A) None (B) I only (C) II only (D) III only (E) I and II

Note that we are asked "which of the following MUST be true", not COULD be true. For such kind of questions if you can prove that a statement is NOT true for one particular set of numbers, it will mean that this statement is not always true and hence not a correct answer.

So we should try to make the listed statements not true for some x and y (which satisfy y≠3 and 2x/y=prime>2).

I. x = y --> not true: x=3 and y=2 (2x/y=3=prime>2);

II. y=1 --> not necessarily true: x=3 and y=2 (2x/y=3=prime>2);

III. x and y are prime integers --> not necessarily true: x=10 and y=4 (2x/y=5=prime>2).

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