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# what is the least integer value of x?

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GMAT Club Legend
Joined: 07 Jun 2014
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what is the least integer value of x? [#permalink]  22 Nov 2016, 16:46
Expert's post
00:00

Question Stats:

80% (00:59) correct 20% (00:00) wrong based on 5 sessions
If $$\frac{2}{x^3}< 0.02$$what is the least integer value of x?

A. No such least value exists.
B. 101
C. 100
D. 5
E. 4

Drill 4
Question: 11
Page: 295
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1606 [0], given: 375

Re: what is the least integer value of x? [#permalink]  22 Nov 2016, 16:48
Expert's post
Explanation

First, rewrite 0.02 as a fraction, $$\frac{2}{100}$$. For $$\frac{2}{3^x}$$ to be less than $$\frac{2}{100}$$ $$3^x$$ must be greater than 100.

Plugging In the Answers is the easiest way to get this right. Choice (E) is $$3^4$$ = 81 and the fraction is greater than 0.02; eliminate it.

Choice (D) is $$3^5$$ = 243 and this makes the fraction inequality would be true if the denominator of less than 0.02. Therefore, the least value for x is 5. Be sure to answer what is asked. The $$\frac{2}{3^x}$$ were 101, which is choice (B); however, the question is asking for the least value of x, not of 3x, so the correct answer is choice D.

The correct option is D.
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Re: what is the least integer value of x? [#permalink]  06 Oct 2018, 02:10
3^X OR X^3 ? I am confused
GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1606 [0], given: 375

Re: what is the least integer value of x? [#permalink]  06 Oct 2018, 06:33
Expert's post
Aroma wrote:
3^X OR X^3 ? I am confused

Your question is not clear. What do you mean by $$3^X$$ OR $$X^3$$
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Re: what is the least integer value of x?   [#permalink] 06 Oct 2018, 06:33
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