Q38. Math - Geometry (DS)

Difficulty Level : Easy
Time to Solve : <30 secs

Please discuss your approach and also provide time you took to solve the question.



Q. Is the quadrilateral PQRS a rectangle?
1) All sides are equal
2) None of the angles are more than 90


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B - 20 seconds.

A rectangle is defined as a quadrilateral with 4 right angles. Looking at the first choice, you know it's insufficient because you think of a rhombus--it could be a rectangular (square) or non rectangular (non square) rhombus.

Looking at the second choice, recall that the sum of the angles must be 360 no matter what the shape of the quadrilateral. So if the max each angle can be is 90, that would add up to 360. So no angle can be less than 90 either, so each angle is 90, and hence, you have a rectangle.

Have nothing to add besides what bdsikma wrote
B 20 sec

B,10 secs.
If no angle is more than 90 then all the angles wil have to be 90.Hence rectangle.

B
screaming at the top of my voice at 4 am in the morning under 15 seconds!!!!!!

B - 20 Secs

Agreed with docaseem

Statement 2 is sufficient by itself, B

B

OA is B.

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