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03 Aug 2022, 12:45
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:52) correct
24%
(01:27)
wrong
based on 34
sessions
History
Date
Time
Result
Not Attempted Yet
If \(p\) is a positive integer, and \(x = m^{\frac{1}{3}}, y = n^{\frac{1}{2}}\), and \(z = 2p\), then which one of \(x, y,\) and \(z\) is the greatest?
(1) \(4p^3 = 5m\)
(2) \(5n = 3p^2\)
(1) \(4p^3 = 5m\)
(2) \(5n = 3p^2\)
13 Aug 2022, 06:43
Kudos
Bookmarks
Bunuel
(1) \(4p^3 = 5m\)
Nothing about \(n\)
INSUFF.
(2) \(5n = 3p^2\)
Nothing about \(m \)
INSUFF.
\(1+2 \)
\(m = \frac{4}{5}p^3\) from (1)
\(m^\frac{1}{3} = p(\frac{4}{5})^\frac{1}{3} =x\)
\(n=\frac{3}{5}p^2\) from (2)
\(n^\frac{1}{2} = p(\frac{3}{5})^\frac{1}{2} =y \)
also given \(2p =z \)
So we have \(x,y \) and \(z\) as \(p(\frac{4}{5})^\frac{1}{3}, p(\frac{3}{5})^\frac{1}{2},2p \) respectively
We can clearly see that \(2p\) or \(z\) is the largest.
SUFF.
Ans C
Hope it's clear.
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