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

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Math Expert
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Joined: 02 Sep 2009
Posts: 49271
If p and q are consecutive even integers, is p > q?  [#permalink]

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New post 09 Apr 2017, 22:15
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

64% (01:40) correct 36% (01:54) wrong based on 41 sessions

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

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New post 09 Apr 2017, 22:34
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, 22:34
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