CAT 2025 Lesson : Quadrilaterals - Past Questions

9. Past Questions

Question 1

In the figure below, ABCDEF is a regular hexagon and ∠AOF = 90°. FO is parallel to ED. What is the ratio of the area of the triangle AOF to that of the hexagon ABCDEF?
[CAT 2003L]

		$\dfrac{1}{12}$
		$\dfrac{1}{6}$
		$\dfrac{1}{24}$
		$\dfrac{1}{18}$

Answer: (1)

\dfrac{1}{12}

Question 2

BCD is a square. P is the midpoint of AB. The line passing through A and perpendicular to DP intersects the diagonal at Q and BC at R. If AB = 2 then PR = ______?
[XAT 2008]

		$\dfrac{1}{2}$
		$\dfrac{\sqrt{3}}{2}$
		$\sqrt{2}$
		$1$
		None of the above

Answer: (3)

\sqrt{2}

Question 3

The interior angles of a polygon are in Arithmetic Progression. If the smallest angle is 120° and common difference is 5°, then number of sides in the polygon is:
[IIFT 2008]

		$7$
		$8$
		$9$
		None of the above

Answer: (3)

9

Want to read the full content

Unlock this content & enjoy all the features of the platform

Subscribe Now