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

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Bunuel
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If a and b are consecutive even integers, is a > b? [#permalink] If a and b are consecutive even integers, is a > b?   21 Aug 2017, 06:02
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62% (02:00) correct 38% (02:18) wrong based on 113 sessions
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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
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D
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Re: If a and b are consecutive even integers, is a > b? [#permalink] If a and b are consecutive even integers, is a > b?   21 Aug 2017, 07:59
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)
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Re: If a and b are consecutive even integers, is a > b? [#permalink] If a and b are consecutive even integers, is a > b?   21 Aug 2017, 23:13
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 a+1 (odd) i.e. b-1 and b-3 are consecutive odd integers..pass
Sufficient

D
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kaulshanx
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Re: If a and b are consecutive even integers, is a > b? [#permalink] If a and b are consecutive even integers, is a > b?   23 Aug 2017, 04:00
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.
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Re: If a and b are consecutive even integers, is a > b? [#permalink] If a and b are consecutive even integers, is a > b?   24 Aug 2017, 04:16
In the case of

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

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Re: If a and b are consecutive even integers, is a > b? [#permalink] If a and b are consecutive even integers, is a > b?   24 Aug 2017, 05:26
So ur statement gives that a<b as well and hence answers the question that a is not >b

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If a and b are consecutive even integers, is a > b? [#permalink] If a and b are consecutive even integers, is a > b?   26 Mar 2021, 00:52
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? [#permalink]
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