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a, b, c, and d are rational numbers and -1, a, b, 0, c, d, 1 are on the number line in that or

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by Max@Math Revolution » Mon Jun 22, 2020 12:50 am
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[GMAT math practice question]

a, b, c, and d are rational numbers and -1, a, b, 0, c, d, 1 are on the number line in that order. From greatest to least, what is the order of 1/a, 1/b, 1/c, and 1/d?

A. 1/a > 1/b > 1/c > 1/d
B. 1/a > 1/b > 1/d > 1/c
C. 1/d > 1/c > 1/a > 1/b
D. 1/c > 1/d > 1/a > 1/b
E. 1/d > 1/c > 1/b > 1/a
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Re: a, b, c, and d are rational numbers and -1, a, b, 0, c, d, 1 are on the number line in that or

by Max@Math Revolution » Wed Jun 24, 2020 3:23 am
=>

When we put a = -1/2, b = -1/3, c = 1/3, and d = 1/2, we have 1/a = -2, 1/b = -3, 1/c = 3, and 1/d = 2.
Thus, we have 1/c > 1/d > 1/a > 1/b.

Therefore, D is the correct answer.
Answer: D
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