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Updated on: 15 Oct 2017, 01:37
Originally posted by aashaybaindurgmat on 14 Oct 2017, 21:25.
Last edited by Bunuel on 15 Oct 2017, 01:37, edited 2 times in total.
Last edited by Bunuel on 15 Oct 2017, 01:37, edited 2 times in total.
Renamed the topic.
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:37) correct
30%
(01:12)
wrong
based on 215
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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)
(1) a < 3
(2) \(\frac{a}{b} = \frac{2}{7}\)
(Source: Princeton Review GMAT Test 6)
14 Oct 2017, 21:57
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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.
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.
aashaybaindurgmat
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
