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If a and b are integers and a is even, what is the value of a - b?

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If a and b are integers and a is even, what is the value of a - b? [#permalink]

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New post 14 Oct 2017, 21:25
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A
B
C
D
E

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  45% (medium)

Question Stats:

73% (00:52) correct 28% (00:43) wrong based on 40 sessions

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If a and b are integers and a is even, what is the value of a - b?

(1) a < 3
(2) \(\frac{a}{b} = \frac{2}{7}\)

(Source: Princeton Review GMAT Test 6)
[Reveal] Spoiler: OA

Last edited by Bunuel on 15 Oct 2017, 01:37, edited 2 times in total.
Renamed the topic.

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Re: If a and b are integers and a is even, what is the value of a - b? [#permalink]

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New post 14 Oct 2017, 21:57
Here the answer should be E.
If it said that a is positive then only C is possible.

1. a<3
No information about b. Can't Solve

2. a/b = 2/7
One equation 2 variables. Can't Solve

Now lets try both statements.
We would just get a - b
= \(-5a/2\)
We know a < 3 and even. But a could be 2, 0, -2, and so on..

Hence E.
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If a and b are integers and a is even, what is the value of a - b? [#permalink]

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New post 14 Oct 2017, 22:05
aashaybaindurgmat wrote:
If a and b are integers and a is even, what is the value of a - b?
(1) a < 3
(2) \(\frac{a}{b} = \frac{2}{7}\)

(Source: Princeton Review GMAT Test 6)


Statement 1: nothing mentioned about \(b\). Hence insufficient

Statement 2: implies \(a=\frac{2b}{7}\), as \(a\) and \(b\) are integers so \(b\) has to be a multiple of \(7\)

if \(b=7\) then \(a=2\) and if \(b=14\), \(a=4\), So multiple values of \(a\) & \(b\) possible. hence insufficient

Combining 1 & 2 we know \(a<3\) and \(b\) is a multiple of \(7\)

so if \(b=7\), \(a =2\) and \(a-b=-5\)

but if \(b=-7\), \(a=-2\) and \(a-b=5\)

So multiple values possible.

Option E

Last edited by niks18 on 15 Oct 2017, 10:03, edited 1 time in total.

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If a and b are integers and a is even, what is the value of a - b? [#permalink]

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New post 15 Oct 2017, 09:34
aashaybaindurgmat wrote:
If a and b are integers and a is even, what is the value of a - b?

(1) a < 3
(2) \(\frac{a}{b} = \frac{2}{7}\)

(Source: Princeton Review GMAT Test 6)



Does the concept of negative even integers exist ?.I mean even/odd is applicable for integers >=0 right ?
And if so, the answer should be C and not E. Please enlighten!!

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Re: If a and b are integers and a is even, what is the value of a - b? [#permalink]

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New post 15 Oct 2017, 09:39
manimadhuri wrote:
aashaybaindurgmat wrote:
If a and b are integers and a is even, what is the value of a - b?

(1) a < 3
(2) \(\frac{a}{b} = \frac{2}{7}\)

(Source: Princeton Review GMAT Test 6)



Does the concept of negative even integers exist ?.I mean even/odd is applicable for integers >=0 right ?
And if so, the answer should be C and not E. Please enlighten!!


An even number is an integer that is "evenly divisible" by 2, i.e., divisible by 2 without a remainder. So, ..., -4, -2, 0, 2, 4, ... are all even integers.

An odd number is an integer that is not evenly divisible by 2. So, ..., -3, -1, 1, 3, 5, ... are all odd integers.

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Re: If a and b are integers and a is even, what is the value of a - b?   [#permalink] 15 Oct 2017, 09:39
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