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# If x is a number such that 0 < x ≤ 20, for how many values o

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1972 [0], given: 397

If x is a number such that 0 < x ≤ 20, for how many values o [#permalink]  12 Aug 2018, 15:29
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Question Stats:

0% (00:00) correct 100% (00:49) wrong based on 8 sessions
If x is a number such that 0 < x ≤ 20, for how many values of x is $$\frac{20}{x}$$ an integer?

(A) Four
(B) Six
(C) Eight
(D) Ten
(E) More than ten
[Reveal] Spoiler: OA

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1972 [0], given: 397

Re: If x is a number such that 0 < x ≤ 20, for how many values o [#permalink]  15 Aug 2018, 05:07
Expert's post
Explanation

Notice that the problem did not say that x had to be an integer. Therefore, the factors of 20 will work (1, 2, 4, 5, 10, 20), but so will 0.5, 0.1, 0.25, 2.5, etc. It is possible to divide 20 into fractional parts—for instance, something 20 inches long could be divided evenly into quarter inches (there would be 80 of them, as $$\frac{20}{0.25}= 80$$). There are an infinite number of x values that would work (it is possible to divide 20 into thousandths, millionths, etc.), so the answer is (E).

It is very important on the GRE to notice whether there is an integer constraint on a variable or not! Any answer like “More than 10” should be a clue that this problem may be less straightforward than it seems.
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Sandy
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Re: If x is a number such that 0 < x ≤ 20, for how many values o   [#permalink] 15 Aug 2018, 05:07
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