samramandy wrote:

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

(1) The median of the numbers in set S is less than 5.

(2) The median of the numbers in set S is greater than 1.

Please guide

We need to prove 0 < n < 7 ?

FACT : Median of the set of 5 numbers should be the value of 3rd number.

(1) The median of the numbers in set S is less than 5.

=> So n should be number before 5

=> n < 5, but NOT SUFFICIENT because we still need to prove n>0

(2) The median of the numbers in set S is greater than 1.

=> So n should be number after 1

=> n > 1, but NOT SUFFICIENT because we still need to prove n<7

Combining Statement-1 and Statement-2

=> 1<n<5, which also proves 0<n<7

So C.

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