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05 Jul 2022, 01:30
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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:
75%
(hard)
Question Stats:
49% (02:11) correct
51%
(01:58)
wrong
based on 61
sessions
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Is it true that exactly two of the three inequalities \(xz < 0, \ yz < 0\) and \(yx < 0\) are true?
(1) \(xy^2z < 0\)
(2) \(x^2yz < 0\)
Are You Up For the Challenge: 700 Level Questions
(1) \(xy^2z < 0\)
(2) \(x^2yz < 0\)
Are You Up For the Challenge: 700 Level Questions
05 Jul 2022, 02:17
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Pre-thinking
If each of the three numbers are positive, or negative, none of the three inequalities are true.
If there is one or two negative numbers, though, exactly two of the three inequalities are true.
(1)Only
xz<0 so one if negative and the other is positive
exactly two of the three inequalities are true.
Sufficient
(2)Only
Sufficient for the same reason.
The answer is thus (D).
If each of the three numbers are positive, or negative, none of the three inequalities are true.
If there is one or two negative numbers, though, exactly two of the three inequalities are true.
(1)Only
xz<0 so one if negative and the other is positive
exactly two of the three inequalities are true.
Sufficient
(2)Only
Sufficient for the same reason.
The answer is thus (D).
14 Nov 2023, 18:42
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Correct me if I am wrong, there's a possibility that one of the variable can take value zero in which case the choice C holds true.
