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04 Nov 2019, 02:45
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
70% (02:10) correct
30%
(02:34)
wrong
based on 262
sessions
History
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Not Attempted Yet
If \(p + q = 400\) and \(p < q\), is \((p + q) < (r + s)\) ?
(1) \(p + r + s = 600\)
(2) \(q + r > 400\)
Are You Up For the Challenge: 700 Level Questions
(1) \(p + r + s = 600\)
(2) \(q + r > 400\)
Are You Up For the Challenge: 700 Level Questions
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
04 Nov 2019, 03:01
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p+q = 400
p < q
(—> q= 400– p
p < 400 —p
2p < 400
p < 200)
Is (p+q) < (r+s)?
—> r+s > 400 ???
(Statement1): p+r+s = 600
—> p cannot be 200. It is less than 200. (p< 200)
—> r+s > 400
Sufficient
(Statement2)
q+ r> 400
—> No info about what r and s are
Insuffient
The answer is A.
Posted from my mobile device
p < q
(—> q= 400– p
p < 400 —p
2p < 400
p < 200)
Is (p+q) < (r+s)?
—> r+s > 400 ???
(Statement1): p+r+s = 600
—> p cannot be 200. It is less than 200. (p< 200)
—> r+s > 400
Sufficient
(Statement2)
q+ r> 400
—> No info about what r and s are
Insuffient
The answer is A.
Posted from my mobile device
04 Nov 2019, 03:12
Kudos
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Given - p+q = 400
Assume, p = q, then p=q= 200
but given that p < q, therefore, p < 200
Statement 1 : p + r + s = 600
if p = 200, then r + s = 400. Thus, as p < 200, r + s > 400
therefore, p+q < r+s
A is sufficient
statement 2: there is no information about s.
Therefore Ans is A.
Assume, p = q, then p=q= 200
but given that p < q, therefore, p < 200
Statement 1 : p + r + s = 600
if p = 200, then r + s = 400. Thus, as p < 200, r + s > 400
therefore, p+q < r+s
A is sufficient
statement 2: there is no information about s.
Therefore Ans is A.
