Amrabdelnaby wrote:Experts,
Could you please help with this?
my logic says that both statements combined are insufficient!
Our initial number line looks like this
-----r------s----t
Statement 1 tell us that s is to the right of zero, or that s is positive. Not so helpful.
Case 1: 0-----r------s----t In this case the answer is NO, 0 is not halfway between r and s
Case 2: -----r---0---s----t Here the answer is YES, 0 is halfway between r and s. Not Sufficient
Statement 2 tell us that the distance between t and r is the same as the distance between t and -s
We could reuse Case 2, (r and -s will be the same value)
Case 2:
-----r---0---s----t Again, the answer is YES
----(-s)
Case 3: -----r-----s----t--0-------(-s) Here the answer is NO
(Note that 's' is negative in this scenario and (-s) is positive)
Statement 2 alone is not sufficient.
Together, only Case 2 will satisfy both statements
-----r---0---s----t
----(-s)
(If s is positive, t must be positive, so Case 3 won't work. And if the distance between t and r is the same as the distance between t and -s, Case 1 won't work.) So together, we know that the answer to the question is YES. Answer is
C
