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Data Sufficiency (DS) | Re: If a and b are consecutive even integers, is a > b?

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Bunuel wrote:

If a and b are consecutive even integers, is a > b?

(1) a + 2 and b - 2 are consecutive even integers
(2) b - 3 and a + 1 are consecutive odd integers


We have two scenarios from the question
Either a= b+2 (a>b)
or a=b-2 (a<b)

(1)
if a>b
then a+2 i.e. b+4 and b-2 cannot be consecutive even integers..fail
if a<b
then a+2 i.e. b and b-2 are consecutive even integers..pass
Sufficient

(2)
if a>b
then a+1 (odd) i.e. b+3 and b-3 cannot be consecutive odd integers..fail
if a<b
then
...

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