# CAT Quant Practice Problems

Question: Consider a square ABCD with midpoints E, F, G, H of AB, BC, CD and DA respectively. Let L denote the line passing through F and H. Consider points P and Q, on L and inside ABCD, such that the angles APD and BQC both equal 120°. What is the ratio of the area of ABQCDP to the remaining area inside ABCD?

 $\frac{{4\sqrt 2 }}{3}$ $2 + \sqrt 3$ $\frac{{10 - 3\sqrt 2 }}{9}$ $1 + \frac{1}{{\sqrt 3 }}$ $2\sqrt 3 - 1$

#### CAT Quant Online Course

• 1000+ Practice Problems
• Detailed Theory of Every Topics
• Online Live Sessions for Doubt Clearing
• All Problems with Video Solutions
CAT Quant Practice Problems
5 (100%) 10 votes