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10 May 2023, 06:30
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C
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Difficulty:
25%
(medium)
Question Stats:
72% (00:42) correct
28%
(00:52)
wrong
based on 43
sessions
History
Date
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Not Attempted Yet
What is the value of |m - n|?
(1) m and n are integers
(2) mn = 13
(1) m and n are integers
(2) mn = 13
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
10 May 2023, 12:42
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Bunuel
We want to find the distance between m and n.
Statement 1
(1) m and n are integers
m and n can be any integers on the number line. Hence, the distance between them will vary with the position of m and n. The statement alone is not sufficient.
Eliminate A and D.
Statement 2
(2) mn = 13
The product of m and n is 13. We don't know the nature of m and n, i.e. whether m or n is an integer or fraction.
Case 1: m =1 , n = 13
The distance between m and n is 12
Case 2: m =1/3 , n = 39
The distance between m and n is \(\frac{116}{3}\)
The statement alone is not sufficient to find the distance between m and n. Eliminate B.
Combined
As m and n are integer and the product between them is 13, we can have the following pairs of value
(m,n) = (1,13)
(m,n) = (-1, -13)
(m,n) = (13,1)
(m,n) = (-13,-1)
In all the above cases, the distance between m and n is 12.
The statements combined are sufficient to answer the question.
Option C
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