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07 Jan 2021, 09:51
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E
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Difficulty:
75%
(hard)
Question Stats:
44% (01:55) correct
56%
(01:46)
wrong
based on 68
sessions
History
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If p is a positive integer and r is a negative integer, what is the value of pr?
(1) p^2 - r^2 is a positive integer
(2) p^r = 1/16
(1) p^2 - r^2 is a positive integer
(2) p^r = 1/16
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
07 Jan 2021, 11:02
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If p is a positive integer and r is a negative integer, what is the value of pr?
(1) p^2 - r^2 is a positive integer
|p| > |r| . This does not provide any information to calculate the value of or
INSUFFICIENT
(2) p^r = 1/16
let r = -x since r is given as a negative integer
x = |r|
p^-x = 1/16
p^x = p^|r| = 16
so, (p, |r|)can be (4,2) , (2,4) , (16,1) .
=> (p,r) can be (4,-2) , (2,-4) , (16,-1) .
This implies pr can be either -8 or -16
INSUFFICIENT
(1) & (2)
|p| > |r|
(p, |r|)can be (4,2) , (2,4) , (16,1) .
So again pr can be either -8 or -16
INSUFFICIENT
Hence, ANSWER OPTION E
(1) p^2 - r^2 is a positive integer
|p| > |r| . This does not provide any information to calculate the value of or
INSUFFICIENT
(2) p^r = 1/16
let r = -x since r is given as a negative integer
x = |r|
p^-x = 1/16
p^x = p^|r| = 16
so, (p, |r|)can be (4,2) , (2,4) , (16,1) .
=> (p,r) can be (4,-2) , (2,-4) , (16,-1) .
This implies pr can be either -8 or -16
INSUFFICIENT
(1) & (2)
|p| > |r|
(p, |r|)can be (4,2) , (2,4) , (16,1) .
So again pr can be either -8 or -16
INSUFFICIENT
Hence, ANSWER OPTION E
12 May 2023, 08:56
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