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AbdurRakib
Joined: 11 May 2014
Last visit: 03 Mar 2026
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Concentration: Finance, Leadership
Schools: Wharton '20 Yale '20 Tepper '20
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WE:Business Development (Real Estate)
15 Jun 2016, 03:15
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:27) correct
11%
(00:26)
wrong
based on 2620
sessions
History
Date
Time
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Not Attempted Yet
Is \(w + h^4\) positive?
(1) h is positive
(2) w is positive
(1) h is positive
(2) w is positive
15 Jun 2016, 03:19
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AbdurRakib
Key to this question is to understand that \(h^4\) is always positive.
Then Statement (1) cannot guarantee that \(w + h^4\)
Say h is 1 and w is -2, then given statement is negative.
say h is 2 and w is 1 then given statement is positive.
So not sufficient.
Statement (2) says w is positive. Now \(h^4\) is always positive
so the combined expression will be positive.
Sufficient.
B is the answer.
06 Dec 2016, 08:19
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AbdurRakib
We need to determine whether w+h^4 is positive. First, we know that h^4 is always non-negative.
Let’s look at the 2 possibilities for the value of w+h^4:
1) If w is positive, then (w + h^4) will be positive.
2) If w is negative, then h^4 must be greater than |w| in order for (w + h^4) to be positive. For example if w = -4, then h^4 must be greater than 4 in order for (w + h^4) to be positive.
Statement One Alone:
h is positive
Since we already know that h^4 is positive and do not have any information about w, we do not have enough information to answer the question. We can eliminate answer choices A and D.
Statement Two Alone:
w is positive
Since we know that h^4 is non-negative, also knowing that w is positive is enough information to determine that w + h^4 is positive. Statement two is sufficient to answer the question.
Answer: B
