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# If set consists of the nos 1,5,-2,8 and n, is 0<n<7?

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Manager
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If set consists of the nos 1,5,-2,8 and n, is 0<n<7? [#permalink]

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27 Jun 2006, 03:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If set consists of the nos 1,5,-2,8 and n, is 0<n<7?
1) The median of the nos in S is less than 5.
2) The median of the nos in S greater than 1.

Manager
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27 Jun 2006, 05:30
It is A

The numbers are -2, 1, 5, 8, n

The number of digits in the set are odd so the median is going to be the middle number.

Statement 1 If the median is less than 5 means n's value be toward the left side of 5 otherwise 5 will become the median. So sufficient to answer.

Statement 2 Median is greater than 1 means n can be any value above 1 but no indication of it being less than 7. Thus insufficient.
Manager
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27 Jun 2006, 05:45
It is not A....I also picked up A
Manager
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27 Jun 2006, 06:00
C

The question asks is n between 0<n<7

St1: median is less than 5

n could be any value less than 5 - insuff

St2: median is greater than 1

n could be any value greater than 1 - insuff

together,

1<n<5---> satisfies the condition
Manager
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27 Jun 2006, 06:03
tapan22 wrote:
C

The question asks is n between 0<n<7

St1: median is less than 5

n could be any value less than 5 - insuff

St2: median is greater than 1

n could be any value greater than 1 - insuff

together,

1<n<5---> satisfies the condition

Oops kinda missed it can be any number less than 5. Yep C it is
Senior Manager
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27 Jun 2006, 09:33
(C) for me too.

as explained above.
Manager
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27 Jun 2006, 10:02
C.

1)median <5, so n could be -1, or n could be 2,3,4 so not suff
2)median >1, so n could be 6, or n could be 100 so not suff
combined:
median =n, suff
Director
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27 Jun 2006, 12:45
C. As discussed above.
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VP
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27 Jun 2006, 14:38
Going with C on this,
Q : Is 0 < n < 7?

Given set S = {-2, 1, 5, 8, n}

S1: Median < 5

If n = 9, then median = 5 not less than 5.
If n = -7, then median = 1, is less than 5.
Not sufficient.

S2: Median > 1
If n = 1, median= 1, not greater than 1
If n = 9, median = 5, greater than 1
Not sufficient.

S1 & S2: 1 < Median < 5
Only way this can happen is when n = 2, 3, 4

Therefore this is sufficient.
SVP
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28 Jun 2006, 03:14
1) Let n be 10 then median is 5.
Let n be 4 then median is 4
Not suff
2) let n = -1 then median is 1
Not Suff

Both

1<median<5

Only when n < 7 and > 0
Manager
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28 Jun 2006, 03:35
jaynayak wrote:
1) Let n be 10 then median is 5.
Let n be 4 then median is 4
Not suff
2) let n = -1 then median is 1
Not Suff

Both

1<median<5

Only when n < 7 and > 0

when n=-1 the median is 1,but this fails the statement as it is given median>1
hence,n cannot be -1,and n should be greater than 1.
if n=2,median is 2,yes
if n=3,median is 3,yes
if n=4,median is 4,yes
if n=5,median is 5,yes
if n=6,median is 5,yes
if n=7,median is 5,yes
if n=8 or >8 median is 5,yes

SVP
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28 Jun 2006, 08:05
amansingla4 wrote:
If set consists of the nos 1,5,-2,8 and n, is 0<n<7?
1) The median of the nos in S is less than 5.
2) The median of the nos in S greater than 1.

First we need to sort the four known numbers: -2, 1, 5, 8.
1) median < 5. That means n can be placed in the 1st-3nd position, and it should be <5. This implies n can be smaller or greater than 0, or equal to 0. Insufficient.
2) median>1. This means n can be placed in the 3rd-5th position, and it is >1. Again this means it could be smaller than, equal to, or greater than 7. Insufficient.
Combined of course we get 1<n<5. Which means it must be true that 0<n<7. Sufficient.
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Re: Median?   [#permalink] 28 Jun 2006, 08:05
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