Hi Santhosh,

I think the answer should be C. Together it is sufficient.

Given set A is a consecutive integers.

Question: Median A?

Median is the middle value when arranged in order.

Statement I is insufficient:

Smallest number is 4.

this wont help us, as we don’t know the number of elements.

Statement II is insufficient:

standard deviation is root 2.

This is something interesting.

Not always knowing the standard deviation helps to find the number of elements.

But here, since it is consecutive and the standard deviation is given as root 2 only way possible is it should have 5 elements.

you can just do trail and error here,

since SD is root 2.

Variance has to be 2.

Variance is  average of squared differences from the mean.

So, it could 4/2 = 2,  6/3 = 3 or 8/4 =2, 10/ 5 = 2

Just check SD for 2 consecutive elements , 3 consecutive elements, 4 consecutive elements and 5 consecutive elements.

you can see that this only works for 5 consecutive elements.

But still we can’t median with this statement alone. We know the number of elements alone.

Together it is sufficient,

set A has to be 4,5,6,7,8

So median is A.

Answer has to be C.

Hope this helps.