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06 Feb 2018, 05:42
Kudos
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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:
45%
(medium)
Question Stats:
61% (01:42) correct
39%
(01:56)
wrong
based on 37
sessions
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Not Attempted Yet
Is a cubic centimeter of substance S heavier than a cubic centimeter of substance T ?
(1) A cubic centimeter of S weighs more than 0.25 cubic centimeters of T.
(2) 3 cubic centimeters of T weighs less than 5 cubic centimeters of S.
(1) A cubic centimeter of S weighs more than 0.25 cubic centimeters of T.
(2) 3 cubic centimeters of T weighs less than 5 cubic centimeters of S.
06 Feb 2018, 23:13
Kudos
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Bunuel
Let 1 cubic centimeter of S be represented as S only, and 1 cubic centimeter of T be represented as T only. Question asks if S > T (in terms of weight).
(1) S > 0.25*T or S > T/4 or 4S > T.
If S is greater than 1/4 of T, we can't say whether S will be greater than T or not. Eg., if T=4, we are given that S > 1. Now if S = 5 then YES but if S = 2, then NO.
So not sufficient.
(2) 3T < 5S or S > 3T/5 or S > 0.6T.
S is greater than 60% of T, but we cant say whether S will be greater than T or not. Eg., if T=5, we are given that S > 3. Now if S = 6, then YES but if S = 4, then NO.
So not sufficient.
Combining the two statements, we get that:
S > 0.25T and
S > 0.6 T
So basically these two inequations tell us that S > 0.6T. But as explained in second statement, it is not sufficient to get a unique YES or NO answer. So not sufficient.
Hence E answer
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