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Senior Manager Joined: 20 May 2014
Posts: 282
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The equation n < 1/{(-2)^{-n}} < 135.43 is true for how many [#permalink] 00:00

Question Stats: 28% (01:46) correct 71% (01:36) wrong based on 7 sessions
The equation $$n < \frac{1}{{(-2)^{-n}}} < 135.43$$ is true for how many unique integer values of n, where n is a prime number?

A. 7
B. 4
C. 2
D. 1
E. 0

Kudos for correct solution.
[Reveal] Spoiler: OA Director Joined: 20 Apr 2016
Posts: 824
WE: Engineering (Energy and Utilities)
Followers: 10

Kudos [?]: 601  , given: 121

Re: The equation n < 1/{(-2)^{-n}} < 135.43 is true for how many [#permalink]
1
KUDOS
Bunuel wrote:
The equation $$n < \frac{1}{{(-2)^{-n}}} < 135.43$$ is true for how many unique integer values of n, where n is a prime number?

A. 7
B. 4
C. 2
D. 1
E. 0

Kudos for correct solution.

we can rephrase the statement as

$$n < (-2)^{n} < 135.43$$

Given n is prime number, and it should also be an even number to satisfy the equation

SO there is only one option for n i.e 2 (since it is even and prime number)

Hence ans is D.
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