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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink]

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08 Oct 2014, 23:23

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Bunuel wrote:

Tough and Tricky questions: Statistics

What is the median of set A {-8, 15, -9, 4, N}?

(1) N is a prime and N^6 is even (2) 2N + 14 < 20

This is really tricky question, which is based on the the concept that negative numbers can not be prime.

1. Smallest prime is 2 and it also happens to be an even number, and 2^6 is even. Thus N = 2. 2. 2N + 14 < 20 => N < 6 Thus N can have infinite values.

Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink]

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17 Sep 2016, 09:58

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alanforde800Maximus wrote:

What is the median of set A {-8, 15, -9, 4, N}?

1) N is a prime and N^6 is even.

2) 2N + 14 < 20

Please assist with above problem.

1) N^6 is even ,it means N is even number Further any even number which is prime also is only 2. So we have N=2 ,thus we can calculate median of set.....sufficient 2)2N + 14 < 20 2N < 20- 14 N<3 so N can have as many values <3 so we cannot calculate median of given set.........insufff..

Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink]

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07 Jun 2017, 22:59

Bunuel wrote:

Tough and Tricky questions: Statistics

What is the median of set A {-8, 15, -9, 4, N}?

(1) N is a prime and N^6 is even (2) 2N + 14 < 20

We don't necessarily need to know the exact value of N to find the median of the set (middle number)- but we possibly need to know a range.

Statement 1

Any odd number to any power will always result in an odd number- the only prime number that satisfies the condition in statement 1 is the number 2- sufficient

Statement 2

This reduces to

2n <6 n < 3

There are infinite possibilities for "N" (-∞, 2) - insufficient