Score Plus

need help on this question..

Is ”MNP isosceles?

(1) Exactly two of the angles, M and N, have the same measure
(2) N and P do not have the same measure.

Ravikant wrote:
need help on this question..

Is ”MNP isosceles?

(1) Exactly two of the angles, M and N, have the same measure
(2) N and P do not have the same measure.

hi ravikant ...let us consider the solution of this problem..

Statement 1:

It says that two of the angles M and N have same measure...but it does not give any information about third angle P, which could or could not be equal to measure angle M and N. Hence statement 1 alone is not sufficient.

Statement 2:

It says N and P do not have same measure..But it gives no information about angle M, which could or could not be equal to measure angles N or P. Hence statement 2 alone is also not sufficient .

Consider statement 1 & 2 combined :
It says M and N have same measure and N and P do not have same measure, which implies exactly 2 angles M and N have equal measure and hence triangle MNP is isosceles.

Hence statement 1 & 2 combined is sufficient to solve the problem.

Ans : C

keep going..