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

Question

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

pushpitkc · Answer

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

(1) a + 2 and b - 2 are consecutive even integers
In this case the number a will be definitely smaller than b.
If a is 4 and b is 6, then the number a+2 and b-2 will become 6 and 4 
and remain consecutive even integers. Sufficient

(2) b - 3 and a + 1 are consecutive odd integers
In this case also the number b will be definitely smaller than a.
If a is 4 and b is 6, then the number a+1 and b-3 will become 5 and 3 
which are consecutive odd integers. Sufficient(Option D)

Luckisnoexcuse · Answer

We have two scenarios from the question Either a= b+2 (a>b) or a=b-2 (ab then a+2 i.e. b+4 and b-2 cannot be consecutive even integers..fail if ab then a+1 (odd) i.e. b+3 and b-3 cannot be consecutive odd integers..fail if a

kaulshanx · Answer

is a>b,

a & b are consecutive even number ie. (a,b) = (-2,0), (0,-2), (2,4), (4,2)... and so on.
statement 1 : (a+2) & (b-2) are consecutive integers. which shows that a<b and hence is sufficient to answer no that a is not > b
Statement 2 : (b-3) & (a+1) are consecutive odd integers. which again after plugging different values give that a<b and hence sufficient to answer that a is not > b.
hence answer is D as both statements are sufficient to answer that a<b.

antztheman · Answer

In the case of

a:0 b:2 & a:-2 b:0 both satisfy statement 1, how can D be correct?

Posted from my mobile device

kaulshanx · Answer

So ur statement gives that a<b as well and hence answers the question that a is not >b

Sent from my SM-N920G using  GMAT Club Forum mobile app

unraveled · Answer

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

(1) a + 2 and b - 2 are consecutive even integers
I: a > b
a = b+2
\(\implies\) b+2+2 and b - 2 are consecutive even integers which is not possible.

II: a < b
b = a + 2
\(\implies\) a+2 and a are consecutive even integers which is TRUE.

SUFFICIENT.

(2) b - 3 and a + 1 are consecutive odd integers
I: a > b
a = b+2
\(\implies\) b - 3 and b + 3 are consecutive even integers which is not possible.

II: a < b
b = a + 2
\(\implies\) a-1 and a+1 are consecutive even integers which is TRUE.

SUFFICIENT.

Answer D.

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

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

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