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15 Jun 2022, 01:31
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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:
25%
(medium)
Question Stats:
68% (00:54) correct
33%
(00:41)
wrong
based on 40
sessions
History
Date
Time
Result
Not Attempted Yet
If a is an integer, is \(\frac{36 + 64}{a}\) an integer?
(1) \(a\) is a multiple of 10.
(2) \(a\) is a multiple of 25.
(1) \(a\) is a multiple of 10.
(2) \(a\) is a multiple of 25.
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
15 Jun 2022, 01:36
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Bunuel
Question: is \(\frac{36 + 64}{a} = 100/a\) an integer?
Statement 1: \(a\) is a multiple of 10
for a = 10 answer to the question is YES
for a = 30 answer to the question is NO
NOT SUFFICIENT
Statement 2: \(a\) is a multiple of 25.
for a = 25 answer to the question is YES
for a = 75 answer to the question is NO
NOT SUFFICIENT
Combining:
for a = 50 answer to the question is YES
for a = 150 answer to the question is NO
NOT SUFFICIENT
Answer: Option E
15 Jun 2022, 03:10
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Is 100/a an integer?
(1)Only
If a=20, 100/20 is an integer.
If a=30, 100/30 is not an integer.
Not sufficient
(2)Only
If a=25, 100/25 is an integer.
If a=75, 100/75 is not an integer.
Not sufficient.
(1)(2)Together
If a=50, 100/50 is an integer.
If a=150, 100/150 is not an integer.
Not sufficient.
The answer is thus (E).
(1)Only
If a=20, 100/20 is an integer.
If a=30, 100/30 is not an integer.
Not sufficient
(2)Only
If a=25, 100/25 is an integer.
If a=75, 100/75 is not an integer.
Not sufficient.
(1)(2)Together
If a=50, 100/50 is an integer.
If a=150, 100/150 is not an integer.
Not sufficient.
The answer is thus (E).
