CAT 2021 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like **Speed-time-distance**, **Mixture and Alligations**. This year, there was a surprise. The questions from **Geometry** were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 17 : The sides AB and CD of a trapezium ABCD are parallel, with AB being the smaller side. P is the midpoint of CD and ABPD is a parallelogram. If the difference between the areas of the parallelogram ABPD and the triangle BPC is 10 sq cm, then the area, in sq cm, of the trapezium ABCD is

- 20
- 25
- 40
- 30

Limited Seats Available - Register Now!

We can construct a Quadrilateral ABCD from the given information:

Point P divides the line CD into two equal halves,

Further we know that the area of the parallelogram ABPD is twice the area of the triangle BCP, and hence the heights of both will also be the same.

Now, from here we can say that the area of the parallelogram will be twice the area of the triangle.

Let the area of the triangle be ‘A’. Then the area of the parallelogram BCP will be 2A.

So, this difference will be 2A - A = 10

Hence A = 10

Then the area of the parallelogram would be 2A + A = 30 sq cm

Choice D is the correct answer.

Copyrights © All Rights Reserved by 2IIM.com - A Fermat Education Initiative.

Privacy Policy | Terms & Conditions

CAT^{®} (Common Admission Test) is a registered trademark of the Indian Institutes of Management. This website is not endorsed or approved by IIMs.

2IIM Online CAT Coaching

A Fermat Education Initiative,

58/16, Indira Gandhi Street,

Kaveri Rangan Nagar, Saligramam, Chennai 600 093

**Mobile:** (91) 99626 48484 / 94459 38484

**WhatsApp:** WhatsApp Now

**Email: **info@2iim.com