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24 Sep 2023, 05:15
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
49% (02:01) correct
51%
(02:22)
wrong
based on 41
sessions
History
Date
Time
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Not Attempted Yet
26 Sep 2023, 23:03
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Bunuel
The question is very straightforward and we need to test out very limited cases to prove that the statements are not sufficient. First things first - If \(w, p, s,\) and \(t\) are positive → \(wp + st > 0\). Hence, to save some time, we will not test out this case and only focus on testing out scenarios in which \(wp + st \leq 0\)
Statement 1
(1) \(ws + pt > 0\)
Assume that \(p\) is negative and \(w\) is positive. The product \(w*p\) is negative. If \(s\) and \(t\) are positive, the product \(s*t\) will be positive. Depending on the value of \(w*p\), the sum can be negative.
Ex: w = 99 ; p = -1; s = 10 ; t = 1
\(ws + pt > 0\) → 990 + (-1) > 0 ; however \(wp + st < 0\)
Hence, statement 1 is not sufficient and we can eliminate A and D.
Statement 2
(2) \(wt + ps > 0\)
Once we've established Statement 1 is not sufficient, we can almost be certain that Statement 2 is also not sufficient as we can reason out a similar explanation for statement 2.
Ex: w = 99 ; p = -1; s = 10 ; t = 1
\(wt + ps > 0\) → 99 + (-10) > 0 ; however \(wp + st < 0\)
Hence, statement 2 is not sufficient and we can eliminate B
Combined
Adding both the statements
\((s+t)(w+p) > 0\)
We can use the same example w = 99 ; p = -1; s = 10 ; t = 1 to prove that the statements combined are insufficient.
Option E
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