### CAT 2007 Question 4

Instructions

Directions for the following four questions: Each question is followed by two statements A and B. Indicate your responses based on data sufficiency

Question 4

# Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square?A: The length of OM is twice that of OL.B: The length of OM is 4 cm

Solution

If the side of the square is x cm, then the maximum length of OM is $$\sqrt2x$$
The minimum length of OL is x.
So, OM can never be 2 times OL
So, using statement A alone, we can conclude that Rahim is unable to draw the square.
Using statement B alone, we cannot answer the question.
So, option a) is the correct answer.