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Updated on: 07 Apr 2021, 10:42
Originally posted by atalpanditgmat on 12 Apr 2013, 04:56.
Last edited by Bunuel on 07 Apr 2021, 10:42, edited 2 times in total.
Last edited by Bunuel on 07 Apr 2021, 10:42, edited 2 times in total.
Renamed the topic and edited the question.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
43% (02:46) correct
57%
(02:35)
wrong
based on 237
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The numbers a, b, c, and d are all positive, and J = a/b and K = c/d. Is J greater than K?
(1) a < b, c < d, and c > a
(2) a + 7 = c and b + 4 = d
(1) a < b, c < d, and c > a
(2) a + 7 = c and b + 4 = d
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
12 Apr 2013, 05:39
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The numbers a, b, c, and d are all positive, and J = a/b and K = c/d. Is J greater than K?
The question asks whether \(\frac{a}{b}>\frac{c}{d}\). Since all unknowns are positive we can safely cross-multiply: is \(ad>bc\)?
(1) a < b, c < d, and c > a. If a=1, b=2, c=2, and d=3, then \(ad=3<4=bc\) (answer NO) but if a=1, b=2, c=2, and d=5, then \(ad=5>4=bc\). Not sufficient.
(2) a + 7 = c and b + 4 = d. The question becomes: is \(a(b+4)>b(a+7)\)? --> is \(ab+4a>ab+7b\)? --> is \(4a>7b\)? We have no additional info to determine that. Not sufficient.
(1)+(2) The question from (2) became "is \(4a>7b\)?" and (1) says that \(a<b\), thus the answer to the question is NO. Sufficient.
Answer: C.
Hope it's clear.
The question asks whether \(\frac{a}{b}>\frac{c}{d}\). Since all unknowns are positive we can safely cross-multiply: is \(ad>bc\)?
(1) a < b, c < d, and c > a. If a=1, b=2, c=2, and d=3, then \(ad=3<4=bc\) (answer NO) but if a=1, b=2, c=2, and d=5, then \(ad=5>4=bc\). Not sufficient.
(2) a + 7 = c and b + 4 = d. The question becomes: is \(a(b+4)>b(a+7)\)? --> is \(ab+4a>ab+7b\)? --> is \(4a>7b\)? We have no additional info to determine that. Not sufficient.
(1)+(2) The question from (2) became "is \(4a>7b\)?" and (1) says that \(a<b\), thus the answer to the question is NO. Sufficient.
Answer: C.
Hope it's clear.
21 Aug 2020, 04:52
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Is \(\frac{a}{b} > \frac{c}{d}\)
or ad>bc
Statement 1- a<c<d and a<b
We can't compare between b and d
Insufficient
Statement 2- a<c and b<d
ad = (c-7)(b+4) = bc + [4c -7b -28]
We have no idea whether 4c -7b -28 is +ve
Insufficient
Combining both statements
c<d {from statement 1}
or c< b+4 { from statement 2}
4c < 4b +16 < 7b+28
Sufficient.
or ad>bc
Statement 1- a<c<d and a<b
We can't compare between b and d
Insufficient
Statement 2- a<c and b<d
ad = (c-7)(b+4) = bc + [4c -7b -28]
We have no idea whether 4c -7b -28 is +ve
Insufficient
Combining both statements
c<d {from statement 1}
or c< b+4 { from statement 2}
4c < 4b +16 < 7b+28
Sufficient.
Shahalikhan
