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# k is an integer for which

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k is an integer for which [#permalink]  24 Feb 2017, 02:43
Expert's post
00:00

Question Stats:

69% (00:43) correct 30% (00:23) wrong based on 55 sessions

k is an integer for which $$\frac{1}{2^{(1-k)}} < \frac{1}{8}$$

 Quantity A Quantity B k -2

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: k is an integer for which [#permalink]  03 Mar 2017, 05:40
Expert's post
Explanation

We have the expression $$\frac{1}{2^{(1 - k)}}$$ and the fraction $$\frac{1}{8}$$.

Rewriting $$\frac{1}{8}$$ as $$\frac{1}{2^3}$$.

So if 1 -k > 3 (for example 1- k = 4) then the inequality $$\frac{1}{2^{(1 - k)}} < \frac{1}{8}$$.

So $$1 -k > 3$$ or $$-k > 2$$ or $$k <-2$$.

Thus Quantity B is greater.
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Re: k is an integer for which [#permalink]  07 Mar 2018, 08:42
I think the explanation and the problem post have a different fraction here
GMAT Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
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Re: k is an integer for which [#permalink]  07 Mar 2018, 15:48
Expert's post
chgre wrote:
I think the explanation and the problem post have a different fraction here

It was a formatting error. Its fixed now.
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Re: k is an integer for which [#permalink]  12 Mar 2018, 01:29
B
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Re: k is an integer for which [#permalink]  13 Mar 2018, 16:33
correct: B
1 / 2^K-1 < 1/8
8 < 2 ^ 1-K
2^3 < 2 ^ 1-K
3 < 1-K
K < -2
so B is bigger

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Re: k is an integer for which   [#permalink] 13 Mar 2018, 16:33
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