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23 Sep 2023, 08:15
Kudos
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C
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Difficulty:
45%
(medium)
Question Stats:
65% (01:21) correct
35%
(01:17)
wrong
based on 115
sessions
History
Date
Time
Result
Not Attempted Yet
If m, n are positive integers, what is the value of mn?
(1) m/n = 7/15
(2) The greatest common divisor of m and n is 3
(1) m/n = 7/15
(2) The greatest common divisor of m and n is 3
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
23 Sep 2023, 08:35
Kudos
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Bunuel
Statement 1
(1) m/n = 7/15
\(m = 7 * x\)
\(n = 15 * x\)
x → integer, other than 0
\(m * n = 7 * 15 * x^2\)
Without knowing the value of x, we cannot conclude anything on the value of m * n. Hence, we can eliminate A and D.
Statement 2
(2) The greatest common divisor of m and n is 3
This statement is not sufficient as we only know about the common factor between x and y. We do not have any information on other details -
- \(m = 3 * 4\)
- \(n = 3 * 7 \)
- \(m * n = 3^2 * 7 * 4\)
- \(m = 3 * 13\)
- \(n = 3 * 7 \)
- \(m * n = 3^2 * 7 * 13\)
We can eliminate B.
Combined
From statement 1, we know that
\(m = 7 * x\)
\(n = 15 * x\)
x → integer, other than 0
From statement 2, we know that the value of x is 3.
Hence, we can conclude that \(m*n = 7 * 15* 3^2\)
The statements combined are sufficient.
Option C
