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# If p and q are consecutive even integers, is p > q?

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
If p and q are consecutive even integers, is p > q?  [#permalink]

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09 Apr 2017, 21:15
00:00

Difficulty:

55% (hard)

Question Stats:

48% (01:58) correct 52% (01:31) wrong based on 45 sessions

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If p and q are consecutive even integers, is p>q?

(1) p-2 and q+2 are consecutive even integers
(2) p is prime

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Senior Manager
Joined: 06 Jul 2016
Posts: 367
Location: Singapore
Concentration: Strategy, Finance
Re: If p and q are consecutive even integers, is p > q?  [#permalink]

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09 Apr 2017, 21:34
Bunuel wrote:
If p and q are consecutive even integers, is p>q?

(1) p-2 and q+2 are consecutive even integers
(2) p is prime

S1 - If P & Q are consecutive even integers, and so are p-2 and q+2 => p>q, otherwise the 2 facts don't hold true. Try P = 4, Q=2, or P = 0, Q = -2. If you try P = 2, Q = 4, the result becomes P-2 = 0 and Q+2 = 6 which aren't consecutive even integers.
S-->(A or D)

S2 - P = 2 => Q = 4 or 0.
I.S --> A

A is the correct answer in my opinion.
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Re: If p and q are consecutive even integers, is p > q? &nbs [#permalink] 09 Apr 2017, 21:34
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