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35. 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

I dont know the OA ? So please help ? My pick is (A)

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).

I) x = y => 2x/y = 2 , 2 will never be prime >2 (Ruled out) II)y=1 . Not necessarily. 2 (3)/2 = 3 which is prime and here y is 2 (Ruled out) III)x and y are prime integers . not necessarily . (Ruled out) 2(3)/2 x and y prime 2(21)/6 x and y are not prime.

35. 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

I dont know the OA ? So please help ? My pick is (A)

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 necessarily 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).

Answer: A.

Dear bunuel can't we go have another approach by considering the options from 1st to 3rd and see if 2x/y is not a prime no >2 as below I. x = y --> then 2x/y=2 which is not greater then 2 so can't be true II. y=1 --> then 2x/y=2 which is also not greater then 2 so can't be true III. x and y are prime integers --> then this value will be fractional only so cant be an INTEGER so can't be true

hence A is the answer

please enlighten me for this approach

Regards Puneet
_________________

WarLocK _____________________________________________________________________________ The War is oNNNNNNNNNNNNN for 720+ see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html do not hesitate me giving kudos if you like my post.

35. 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

I dont know the OA ? So please help ? My pick is (A)

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 necessarily 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).

Answer: A.

Dear bunuel can't we go have another approach by considering the options from 1st to 3rd and see if 2x/y is not a prime no >2 as below I. x = y --> then 2x/y=2 which is not greater then 2 so can't be true II. y=1 --> then 2x/y=2x which is an even number always so can't be true III. x and y are prime integers --> then this value will be fractional only so cant be an INTEGER so can't be true

hence A is the answer

please enlighten me for this approach

Regards Puneet
_________________

WarLocK _____________________________________________________________________________ The War is oNNNNNNNNNNNNN for 720+ see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html do not hesitate me giving kudos if you like my post.

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

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10 Jan 2013, 18:52

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'A' is the right option. Condition III is satisfied when y=2 and x= some prime integer, but for other primes, it negates the condition. Hence 'None'.
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Re: If y ≠ 3 and 2x/y is a prime integer greater than 2, which [#permalink]

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30 Nov 2013, 07:12

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I think we can do it in a more simple way: 2x/y=prime -->2x=prime * y ,that is, 2x=odd*odd which is never possible. None of the options will satisfy dis... Hence A.
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Re: If y ≠ 3 and 2x/y is a prime integer greater than 2, which [#permalink]

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23 Aug 2016, 05:58

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