What is the value of the positive integer $n ?$

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Wed May 20, 2020 6:03 am

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What is the value of the positive integer $n ?$

(1) $n^4 < 25$
(2) $n\neq n^2$

[spoiler]OA=C[/spoiler]

Source: Official Guide

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Source: Beat The GMAT — Data Sufficiency | Wed May 20, 2020 6:03 am

anonylfc: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Wed May 20, 2020 9:34 pm

Re: What is the value of the positive integer $n ?$

by anonylfc » Fri May 22, 2020 7:58 am

A very easy question , if you read the question properly.
The question mentions that n is a POSITIVE integer.

1st condition -> n^4 <25 -> n=1,2 only (n=3 , n^4=27 , conditions does not apply)
2nd condition -> n=/= n^2 -> Can be all the numbers in the world except 1

When you combine both the equations ->
From first equation we find that n can be either 1 or 2. However from the second equation we already know that 1 is not a possible solution. Hence the answer is 1.

Answer: C

Pls upvote if this helped you !

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