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20 Mar 2023, 12:15
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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:
55%
(hard)
Question Stats:
43% (01:06) correct
57%
(01:23)
wrong
based on 42
sessions
History
Date
Time
Result
Not Attempted Yet
If \(s*\sqrt{r}=t\), what is the value of r?
(1) r^2 = 625
(2) t/s = 5
(1) r^2 = 625
(2) t/s = 5
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
21 Mar 2023, 00:03
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Bunuel
Given:\(s*\sqrt{r}=t\)
Note, that r is under root. Hence, \(r \geq 0\)
Statement 1
\(r^2 = 625\)
Taking root on both sides of the equation, \(r = \pm 25\).
However, as r is a non-negative value, r = 25.
This statement is sufficient and we can eliminate A, D, and E.
Statement 2
\( \frac{t}{s} = 5\)
From the premise, we know that
\(\sqrt{r} = \sqrt{\frac{t}{s}}\)
\(\sqrt{r} = 5\)
Squaring both sides, we get r = 25
This statement is also sufficient, Option D
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