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04 Nov 2019, 03:22
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
53% (01:37) correct
47%
(01:22)
wrong
based on 233
sessions
History
Date
Time
Result
Not Attempted Yet
If m and n are integers, then what is the value of \((–1)^m + (–1)^n + (–1)^m*(–1)^n\) ?
(1) \(m = 23522101\)
(2) \(n = 63522251\)
Are You Up For the Challenge: 700 Level Questions
(1) \(m = 23522101\)
(2) \(n = 63522251\)
Are You Up For the Challenge: 700 Level Questions
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
04 Nov 2019, 05:44
Kudos
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If m and n are integers, then what is the value of \((–1)^m + (–1)^n + (–1)^m*(–1)^n\) ?
(1) \(m = 23522101\)
so m is ODD....
(-1)^m=-1...\((–1)^m + (–1)^n + (–1)^m*(–1)^n\) =\(–1 + (–1)^n –1*(–1)^n\)
If n is odd...-1-1-1*-1=-2+1=-1
If n is even...-1+1-1*1=-1
So -1 always...Suff
(2) \(n = 63522251\)
so n is ODD....
(-1)^n=-1...\((–1)^m + (–1)^n + (–1)^m*(–1)^n\) =\(–1 + (–1)^m –1*(–1)^m\)
If m is odd...-1-1-1*-1=-2+1=-1
If m is even...-1+1-1*1=-1
So -1 always...Suff
D
(1) \(m = 23522101\)
so m is ODD....
(-1)^m=-1...\((–1)^m + (–1)^n + (–1)^m*(–1)^n\) =\(–1 + (–1)^n –1*(–1)^n\)
If n is odd...-1-1-1*-1=-2+1=-1
If n is even...-1+1-1*1=-1
So -1 always...Suff
(2) \(n = 63522251\)
so n is ODD....
(-1)^n=-1...\((–1)^m + (–1)^n + (–1)^m*(–1)^n\) =\(–1 + (–1)^m –1*(–1)^m\)
If m is odd...-1-1-1*-1=-2+1=-1
If m is even...-1+1-1*1=-1
So -1 always...Suff
D
05 Oct 2022, 06:55
Kudos
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