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Updated on: 01 Jan 2019, 00:16
Originally posted by FN on 19 Sep 2005, 11:35.
Last edited by GMATBusters on 01 Jan 2019, 00:16, edited 4 times in total.
Last edited by GMATBusters on 01 Jan 2019, 00:16, edited 4 times in total.
Edited the typo
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:47) correct
30%
(01:43)
wrong
based on 965
sessions
History
Date
Time
Result
Not Attempted Yet
If a and b are positive integers, what is the value of a - b?
(1) \(x^a = y^b + y^b + y^b\)
(2) \(x^a = y^b + y^b + y^b + y^b\)
(1) \(x^a = y^b + y^b + y^b\)
(2) \(x^a = y^b + y^b + y^b + y^b\)
18 Oct 2013, 04:57
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honchos
Bunuel OA has dispute I believe A is correct, Can you Please take over this question. Thanks!
If and b are positive integers, what is the value of a - b?
(1) x^a = y^b + y^b + y^b --> \(x^a=3y^b\). If x=y=0, then each of a and b can be any positive integer. Not sufficient.
(2) x^a = y^b + y^b + y^b + y^b --> \(x^a=4y^b\). If x=y=0, then each of a and b can be any positive integer. Not sufficient.
(1)+(2) Subtract the equations: \(y^b=0\) --> \(x^a=0\). Since given that a and b are positive integers, then \(x=y=0\) --> both a and b can take any integer values. Not sufficient.
Answer: E.
Hope it's clear.
General Discussion
19 Sep 2005, 11:46
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A.
a, b > 0
i) x ^ a = Y^b + Y^b + Y^b or
x ^ a = 3 y ^ b or
x ^ (a - b) = 3 = 3 ^ 1
a - b = 1
sufficient
ii)
x ^ a = 4 y ^b or
x ^ (a - b) = 4
insufficient because:
4 = 2 ^ 2 OR 4 = 4^1
a, b > 0
i) x ^ a = Y^b + Y^b + Y^b or
x ^ a = 3 y ^ b or
x ^ (a - b) = 3 = 3 ^ 1
a - b = 1
sufficient
ii)
x ^ a = 4 y ^b or
x ^ (a - b) = 4
insufficient because:
4 = 2 ^ 2 OR 4 = 4^1
