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If a^b = 289, what is the value of a-b? (1) b is not equal to 1

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Joined: 27 Aug 2014
Posts: 140
Concentration: Finance, Strategy
GPA: 3.9
WE: Analyst (Energy and Utilities)
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If a^b = 289, what is the value of a-b? (1) b is not equal to 1  [#permalink]

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New post 24 Sep 2018, 13:20
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

31% (00:52) correct 69% (01:27) wrong based on 26 sessions

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If a^b = 289, what is the value of a - b?

(1) b is not equal to 1
(2) a and b are integers
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Joined: 11 Sep 2015
Posts: 3243
Location: Canada
Re: If a^b = 289, what is the value of a-b? (1) b is not equal to 1  [#permalink]

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New post 24 Sep 2018, 15:34
Top Contributor
santorasantu wrote:
If a^b = 289, what is the value of a-b?

1. b is not equal to 1
2. a and b are integers


Target question: What is the value of a-b?

Given: a^b = 289

Jump straight to....

Statements 1 and 2 combined
There are several values of a and b that satisfy BOTH statements. Here are two:
Case a: a = 17 and b = 2. Notice that 17^2 = 289. In this case, the answer to the target question is a - b = 17 - 2 = 15
Case b: a = -17 and b = 2. Notice that (-17)^2 = 289. In this case, the answer to the target question is a - b = -17 - 2 = -19
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Brent
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Re: If a^b = 289, what is the value of a-b? (1) b is not equal to 1 &nbs [#permalink] 24 Sep 2018, 15:34
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If a^b = 289, what is the value of a-b? (1) b is not equal to 1

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