How many integers n are there such that -145

Question

How many integers n are there such that  -145 < -|n^2| < -120  ?

A. 0
B. 2
C. 4
D. 11
E. 12

shameekv1989 · Accepted Answer

n can be +11, -11, +12, -12

Hence 4 - Answer - C

Kinshook · Answer

Asked: How many integers n are there such that -145 < -|n^2| < -120 ? 145 > n^2 > 120 120 < n^2 < 145 n^2 = {121, 144} n = { -12, -11, 11, 12} IMO C

BrentGMATPrepNow · Answer

To make things a little easier on our brains, we can take the given inequality -145 < -|n^2| < -120 ... ...and multiply all sides by -1 to get: 145 > |n^2| > 120 So we're looking for squares of integers BETWEEN 120 and 145. 121 and 144 are the only squares of integers between 120 and 145 However, before we choose answer choice B, we must keep in mind that there are two values of n such that n^2 = 121 and there are two values of n such that n^2 = 144 If n^2 = 121 , then n = 11 or n = -11 If n^2 = 144 , then n = 12 or n = -12 So, there are FOUR possible values of n that satisfies the given conditions Answer: C Cheers, Brent

MrSengupta · Answer

4 values are there .

145>|n^2|>120
=> 145>n^2>120

Therefor there are 4 values : -11,-12,11,12 (E)

bumpbot · Answer

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How many integers n are there such that -145 < -|n^2| < -120 ?

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