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03 Jul 2023, 08:00
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C
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Difficulty:
45%
(medium)
Question Stats:
60% (01:25) correct
40%
(01:25)
wrong
based on 95
sessions
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What is the median of 3 consecutive integers?
(1) The product of the integers is 0
(2) The sum of the integers and the product of the integers are the same
(1) The product of the integers is 0
(2) The sum of the integers and the product of the integers are the same
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:
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03 Jul 2023, 09:32
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What is the median of 3 consecutive integers?
(1) The product of the integers is 0
Let three consecutive integers be (n-1), n, and (n+1)
(n-1)n(n+1)= n(n^2-1)=0
Either n =0. In this case, integers are -1,0,1 and median is 0
OR
n^2-1=0
n^2=1
n=1, integers are 0,1,2 and median is 1
n=-1, integers are -2, -1, 0 and median is -1.
A unique value of median can't be determined.
Statement I alone is insufficient.
(2) The sum of the integers and the product of the integers are the same.
n-1+n+n+1= 3n=n (n^2-1)
n^2-1=3
n^2=4
n=2, integers are 1,2,3 and median is 2.
n=-2, integers are -3,-2,-1 and median is -2.
Statement II alone is not sufficient.
Combining statement I and statement II
The only possible consecutive integers the product of which is 0 and sum=product are -1,0, and 1 with median = 0.
Correct answer is option C.
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(1) The product of the integers is 0
Let three consecutive integers be (n-1), n, and (n+1)
(n-1)n(n+1)= n(n^2-1)=0
Either n =0. In this case, integers are -1,0,1 and median is 0
OR
n^2-1=0
n^2=1
n=1, integers are 0,1,2 and median is 1
n=-1, integers are -2, -1, 0 and median is -1.
A unique value of median can't be determined.
Statement I alone is insufficient.
(2) The sum of the integers and the product of the integers are the same.
n-1+n+n+1= 3n=n (n^2-1)
n^2-1=3
n^2=4
n=2, integers are 1,2,3 and median is 2.
n=-2, integers are -3,-2,-1 and median is -2.
Statement II alone is not sufficient.
Combining statement I and statement II
The only possible consecutive integers the product of which is 0 and sum=product are -1,0, and 1 with median = 0.
Correct answer is option C.
Posted from my mobile device
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