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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

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.

Please explain.

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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