CAT 2019 Question Paper | Quants Slot 2

Have you ever found yourself stuck on a topic where even after applying the right concepts you struggle to get to the correct answer? Well, the CAT exam is known to put you through these situations and test you on how you comprehend the basics rather than just memorizing a gazillion formulas. To get a hang of how to steer your online CAT preparation in the right direction, it is important to go through CAT previous year paper. They will help you understand the kind, pattern and difficulty level of questions that you can expect from the CAT Question Paper this year. Ace you preparation and glide through the troughs of the exam smoothly by solving these questions. Start with this geometry question taken from CAT 2019 Question paper right away.

Question 11 : Let A and B be two regular polygons having a and b sides, respectively. If b = 2a and each interior angle of B is 3/2 times each interior angle of A, then each interior angle, in degrees, of a regular polygon with a + b sides is [TITA]

Video Explanation

Explanatory Answer

Sum of the interior angles of a n-sided Polygon = (n-2) x 180
Measure of each interior angle =
So, Interior angle of the polygon with side a =
Interior angle of the polygon with side b =
It is given that interior angle of side b is 3/2 times to that of the polygon with side A
= x
(2a-2) x 180 = (3a - 6) x 180
2a - 2 = 3a - 6
a = 4
So, b = 8
(a + b) sides = 8 + 4 = 12 sides
Interior angle = = 150^o

The question is "Let A and B be two regular polygons having a and b sides, respectively. If b = 2a and each interior angle of B is 3/2 times each interior angle of A, then each interior angle, in degrees, of a regular polygon with a + b sides is [TITA] "

Hence, the answer is 150

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