If S and T are two different numbers on the number line, is S+T equal to 0?

1). The distance between S and 0 is same as that of distance between T and 0.

2). 0 is between S and T.

If S and T are two different numbers on the number line, is S+T equal to 0?

1). The distance between S and 0 is same as that of distance between T and 0.

2). 0 is between S and T.


(1) alone is clearly insufficient because S and T can very well be on the same side or on opposite sides of the number line.

(2) alone is insufficient as well since we don't know the individual distances of S and T from 0.

However, combining 1 & 2, we can say that YES, S+T=0.

Hence, answer seems to be C.

Isn't statement 1 sufficient because it says that the integers are different?

I thought the statement 1 by itself already sufficient enough to answer the question.
since in the question stem said "If S and T are two different number", and in statement 1:The distance between S and 0 is same as that of distance between T and 0. so if S=-1or 1, T=1or -1, Both S and T have the same dis. S(-1)+T(1)=0. ---yes, S(1)+T(-1)=0...yes, if you try 2 or -2 for S and T, the answer still will be yes. so, My answer will be A.

Yes, I agree with you. While solving the question, I overlooked the word "different". Thanks for the correction.

Agreed... the answer is A. Nice work!

Here in option two : 0 is between S & T..so shdnt that be also suffcient ?
If 0 is between S&T isnt it the midpoint of S & T ?

I agree, should the answer be D

whats the OA?

goodness gracious, no.

just as in normal parlance, "between" only means "between", and carries no connotations of equidistance from the two points.
for instance, it's quite true that 1 is between 0 and 100, but obviously false that 1 is the midpoint between 0 and 100.

same thing with statement two. if 0 is between s and t, then all this means is that one of s and t is positive and the other is negative. that is all; there's nothing barring possibilities such as s = -1,000,000 and t = 1.