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

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Bunuel
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What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   08 Oct 2014, 14:39
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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
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A
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thefibonacci
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   08 Oct 2014, 22:48
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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


A.

1) N is prime and N^6 is even implies N is 2 (as all other primes are odd and odd^6 = odd)
hence A is sufficient.

2) 2N + 14 < 20
N < 3
clearly insufficient.
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   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.

Thus A
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   25 Jul 2016, 00:37
thefibonacci wrote:
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


A.

1) N is prime and N^6 is even implies N is 2 (as all other primes are odd and odd^6 = odd)
hence A is sufficient.

2) 2N + 14 < 20
N < 3
clearly insufficient.


Hi, I have a silly question.

Why is n<3 insufficient. Does it not point towards the fact the N=2?

Shouldnt the answer be D?
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   25 Jul 2016, 00:46
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premjr85@gmail.com wrote:
thefibonacci wrote:
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


A.

1) N is prime and N^6 is even implies N is 2 (as all other primes are odd and odd^6 = odd)
hence A is sufficient.

2) 2N + 14 < 20
N < 3
clearly insufficient.


Hi, I have a silly question.

Why is n<3 insufficient. Does it not point towards the fact the N=2?

Shouldnt the answer be D?


N < 3 means that N can be ANY number less than 3, not necessarily 2. It can be say, -1000 or -1000000 or 0 or 1 or 1.2.
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   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..

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

Hence
"A"
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   10 Sep 2017, 21:31
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


Primes, indeed, can only be positive. I think this is a bit beyond a 500 level question.

St 1

Only 2 can satisfy this value

insuff
St 2

n could be -500 or -2 or 0 which would alter the median

insuff

A
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   03 Aug 2020, 15:28
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


In order to find out median, we need to know value of N.

As per Option(1), N is a prime and \(N^6\) is even.
The only way a product of integers is odd is if each thing in the product is odd. So in order for \(N^6\) to be even N has to be even. 2 is only prime number which is even so \(N\) is 2

Option 2 doesn't give us exact value of N. From option 2, N can be anything less than 3 i.e. -9,0,1,2 etc.

Option 1 is sufficient to get an answer.
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   07 Aug 2020, 03:55
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Statement 1: n is prime and the 6th power of N is even. This means that N is clearly 2 since it is the only prime number that will result in a even number. We can now calculate the median. Sufficient
Statement 2: 2N + 14 < 20 i.e.
2N < 6 ---> N<3, N can be any below less than 3 and this will keep changing the median. Not Sufficient
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   03 Jan 2024, 00:57
From this can we say N can be 2 or -2, how can we be sure that N is positive?
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink] New post   03 Jan 2024, 01:00
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apurvag95 wrote:
From this can we say N can be 2 or -2, how can we be sure that N is positive?


A prime numbers are positive only, 2 being the smallest one.
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Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink]
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