Data Sufficiency

Anurag@Gurome wrote:

sanju09 wrote:Is the triangle ABC, right angled at B?
I. Two interior angles of the triangle ABC are complementary.
II. In the triangle ABC the length of the median drawn on side AC is shorter than the median drawn on side AB or BC.

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(1) Two interior angles of the triangle ABC are complementary.
If A = 30, B = 60, then C = 90. Here ABC is right angled at C.
If A = 30, C = 60, then B = 90. Here ABC is right angled at B.

So, triangle ABC may or may not be right angled at B; NOT sufficient.

(2) In the triangle ABC the length of the median drawn on side AC is shorter than the median drawn on side AB or BC again implies that triangle ABC may or may not be right angled at B (please see the following figures for more clarification; NOT sufficient.



Combining (1) and (2), we can say that the triangle ABC is right angled at B; SUFFICIENT.

The correct answer is C.