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

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

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08 Oct 2014, 14:39
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76% (00:46) correct 24% (00:57) wrong based on 249 sessions

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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

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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, 22:48
1
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]

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08 Oct 2014, 23:23
1
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]

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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?

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Posts: 47015
Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink]

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25 Jul 2016, 00:46
1
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?

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]

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17 Sep 2016, 09:58
1
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

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]

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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

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

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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]

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30 Mar 2018, 08:08
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

its a classic C-trap statement 2 tells you that N<3 which can mean anything since N doenst have to be positive
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What is the median of set A {-8, 15, -9, 4, N}? [#permalink]

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Updated on: 03 May 2018, 09:48
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

Originally posted by shringi87 on 03 May 2018, 08:15.
Last edited by Bunuel on 03 May 2018, 09:48, edited 1 time in total.
Renamed the topic and edited the question.
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Posts: 47015
Re: What is the median of set A {-8, 15, -9, 4, N}? [#permalink]

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03 May 2018, 09:50
shringi87 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

Merging topics. Please check the discussion above.
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Re: What is the median of set A {-8, 15, -9, 4, N}?   [#permalink] 03 May 2018, 09:50
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