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16 Dec 2019, 02:51
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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:
52% (01:40) correct
48%
(02:00)
wrong
based on 189
sessions
History
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If x is a positive integer and \(x^y = 1\), what is the value of x?
(1) \(y^x = 2\)
(2) y is a positive integer
Are You Up For the Challenge: 700 Level Questions
(1) \(y^x = 2\)
(2) y is a positive integer
Are You Up For the Challenge: 700 Level Questions
16 Dec 2019, 04:15
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We have been told x is a positive integer...
Statement 1: y^x =2
The only condition for this expression to equal 2, is if y=2 and x= 1
From this, we can deduce that in the equation x^y= 1, x has to be 1.
Statement 1 is sufficient.
Statement 2: y is a positive integer
Because we were earlier told that x is a positive integer, then x has to be 1.
Statement 2 is sufficient..
Option D is the answer.
[size=80][b][i]Posted from my mobile device[/i][/b][/size]
Statement 1: y^x =2
The only condition for this expression to equal 2, is if y=2 and x= 1
From this, we can deduce that in the equation x^y= 1, x has to be 1.
Statement 1 is sufficient.
Statement 2: y is a positive integer
Because we were earlier told that x is a positive integer, then x has to be 1.
Statement 2 is sufficient..
Option D is the answer.
[size=80][b][i]Posted from my mobile device[/i][/b][/size]
16 Dec 2019, 07:11
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Bunuel
If x is a positive integer and \(x^y = 1\), what is the value of x?
(1) \(y^x = 2\)
(2) y is a positive integer
(1) \(y^x = 2\)
(2) y is a positive integer
Given: x is a positive integer and \(x^y = 1\)
From the given information, there are exactly two possible cases:
case i: x = 1 and y = any value
case ii: x = any positive integer and y = 0
Target question: What is the value of x?
Statement 1: \(y^x = 2\)
This rules out case ii (since \(0^x=0\)), which means case i must be true
If case i is true, then x = 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: y is a positive integer
This rules out case ii (since 0 is not a positive integer), which means case i must be true
If case i is true, then x = 1
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
