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30 Oct 2019, 01:59
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:
15%
(low)
Question Stats:
76% (00:42) correct
24%
(00:55)
wrong
based on 191
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of \(10^x10^y\)?
(1) \(2^{x+y}=16\)
(2) \(5^{x+y}=625\)
(1) \(2^{x+y}=16\)
(2) \(5^{x+y}=625\)
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
30 Oct 2019, 02:09
Kudos
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Both the statements individually give results of x+y.
IMO option D
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IMO option D
Posted from my mobile device
25 Mar 2020, 06:20
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Bunuel
Target question: What is the value of \(10^x10^y\)?
This is a good candidate for rephrasing the target question.
Useful property: \((x^a)(x^b)=x^{a+b}\)
So, we can take \(10^x10^y\) and rewrite it as \(10^{x+y}\)
In order to evaluate \(10^{x+y}\), we must find the value of \(x+y\)
REPHRASED target question: What is the value of \(x+y\)?
Aside: the video below has tips on rephrasing the target question
Statement 1: \(2^{x+y}=16\)
We can rewrite the right side as follows: \(2^{x+y}=2^4\), which means it must be the case that \(x+y=4\)
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: \(5^{x+y}=625\)
We can rewrite the right side as follows: \(5^{x+y}=5^4\), which means it must be the case that \(x+y=4\)
Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
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