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24 Dec 2017, 04:13
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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:
75%
(hard)
Question Stats:
50% (02:00) correct
50%
(01:33)
wrong
based on 84
sessions
History
Date
Time
Result
Not Attempted Yet
Is \(a+b>c+d\)?
(1) \(a>c+d\)
(2) \(a+b>2c+d\)
new tricky Question - self made
(1) \(a>c+d\)
(2) \(a+b>2c+d\)
new tricky Question - self made
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
24 Dec 2017, 04:39
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chetan2u
Statement 1: \(a>c+d\). Nothing mentioned about \(b\). Insufficient
Statement 2: \(a+b>2c+d=>a+b>c+d+c\). but we don't know the value of any variable. Hence Insufficient
Combining 1 & 2 we still do not know the values of variables.
For eg. if \(a=1, b=c=-1\) and \(d=1\), then
\(1>-1+1=>1>0\) and \(1-1>-2+1=>0>-1\) but the stem will be \(1-1>-1+1\), which is not possible. Hence we have a NO here
But if \(a=3, b=c=-1\) & \(d=1\), then
\(3>-1+1=>3>0\) and \(3-1>-2+1=>2>1\) and the stem will be \(3-1>-1+1=>2>0\). Hence we have a Yes. So, Insufficient
Option E
24 Dec 2017, 10:24
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chetan2u
Since all our inequalities are very similar to each other, we'll try transforming (1) and (2) into our original inequality.
This is a Precise approach.
To change (1) into the original inequality we'd need to add b to the left-hand side.
But as we don't know if b is negative or non-negative we don't know how this will affect the inequality.
Insufficient.
To change (2) into the original inequality we'd need to subtract c from the right-hand side.
Similarly to the above, without knowing if c is negative or non-negative we don't know what this will do.
Insufficient.
Combining the two, we can try subtracting inequality (1) from inequality (2).
This gives b > c. But - we still don't know if b and c are positive or negative so cannot answer the question.
(E) is our answer.
