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Statement 1 is insuff. It only talks about S nothing about T.

Statement 2 is insuff. It talks about the sum, nothing about the median.

Taking these statements together, this is what i get.

S: median is 0. integers are consecutive. Therefore set S = {-2,-1,0,1,2}

T: same sum as S. S sums upto 0. Therefore T sums upto 0. integers are consecutive. Therefore set S = {-3,-2,-1,0,1,2,3}

Median of Set S and Set T is 0. Therefore, equal.

Answer C.

i think Statement II is sufficient :

as i can thnk of only one case in which can furnish same sum for 5 and 7 consecutive intergers..
This when we have digits on either side of zero..as u ve correctly pointed out.. {-3,-2,-1,0,1,2,3}, {-2,-1,0,1,2}

can you think of some other case in whch sum of 7 and 5 conse. no.s is equal? _________________

So {5,6,7,8,9} and {2,3,4,5,6,7,8} have the same sum, but not the same median!

thank you kevin..
i was almost thr..i calculated till 5s=7t+11...
.. but i could'nt get the appropriate values of s and t,
.
there is so much trial and error.. how did u click upon these values ? is thr any shortcut.. _________________