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Abhi077
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03 Aug 2019, 09:57
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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:
43% (02:03) correct
57%
(01:58)
wrong
based on 76
sessions
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Not Attempted Yet
If pqr < 0 < pqs, is q < 0?
1)pr > 0
2)pr > ps
1)pr > 0
2)pr > ps
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
03 Aug 2019, 11:19
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Notice none of the letters can be zero, so each is either positive or negative.
From the stem we know that pqr < 0, so we know (pr)(q) < 0, and pr and q must have opposite signs. If, from Statement 1, pr is positive, then q must be negative, and Statement 1 is sufficient.
If we multiply the inequality in Statement 2 by q on both sides, then if q is positive, we'll leave the inequality alone, and if q is negative, we'll reverse the inequality. So if q were positive, pqr > pqs would need to be true. But the stem tells us that is not true -- the stem tells us that pqr < pqs. So q cannot be positive, and since q is not zero, q must be negative and Statement 2 is sufficient.
From the stem we know that pqr < 0, so we know (pr)(q) < 0, and pr and q must have opposite signs. If, from Statement 1, pr is positive, then q must be negative, and Statement 1 is sufficient.
If we multiply the inequality in Statement 2 by q on both sides, then if q is positive, we'll leave the inequality alone, and if q is negative, we'll reverse the inequality. So if q were positive, pqr > pqs would need to be true. But the stem tells us that is not true -- the stem tells us that pqr < pqs. So q cannot be positive, and since q is not zero, q must be negative and Statement 2 is sufficient.
29 Jun 2022, 04:58
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