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

Question

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

Source:   Nova GMAT  
Difficulty Level:   700

akshayk · Answer

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.

Rashed12 · Answer

Dear  Bunuel ,

Why statement 2 is not correct?

P = 2, so q=4 according to the consecutive even integer.

I am doubt that O is even integer or not.

Kindly help on the regard.

Mohammad Ali Khan · Answer

Dear Rashed, in 2nd stem P=2( as only even prime) and Q= 0 or 4 ( save it to your memory that "0" is a even prime number, It is neither positive nor negative.

Rashed12 · Answer

Dear Mohammad Ali Khan,

You have written ""0" is a even   prime   number".

As far I know it is not prime number. So be sure to post authentic information.

rodri102 · Answer

For statement 2, as P is prime and even, P = 2. As a result, Q could be 0 or 4, as Q is consecutive to P.

Zero is an even integer.

Therefore P > Q, if Q=0 or P < Q, if Q=4. Not sufficient.

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

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