CAT Mensuration Questions and Answers: Mensuration Problems you should solve for CAT Prep

CAT Mensuration Practice Exercise-4

Welcome to this post on CAT Mensuration questions and answers. Understanding these questions is a bit of a task and needs lot of practice. In this area, you can find questions related to embedded areas, concatenated boundaries and concentric figures. Understanding of shapes and measures is a must if you want to attempt these. In fact, once you have a grasp over these different types of shapes, you will be able to comfortably solve questions from this area.

Directions for questions 1 & 2: Answer the questions based on the following information:

A cow is tethered at point A by a rope. Neither the rope nor the cow is allowed to enter the triangle ABC Angle BAC = 30· Also AB =AC =10m.

Question 1: What is the area that can be grazed by the cow if the length of the rope is 8 m?

Question 2: What is the area that can be grazed by the cow if the length of the rope is 12 m?

Question 3: The figure below shows two concentric circles with centre O. PQRS is a square inscribed in the outer circle. It also circumscribes the inner circle, touching it at point B, C, D and A. What is the ratio of the perimeter of the outer circle to that of polygon ABCD?

(a) π/4
(b) 3π/2
(c) π/2
(d) π

Question 4: What is the number of distinct triangles with integral valued sides and perimeter as 14?

(a) 6
(b) 5
(c) 4
(d) 3

Question 5: A rectangular pool 20 meter wide and 60 meter long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square meter, how wide, in meter, is the walkway?

(a) 5
(b) 4·5
(c) 3
(d) 3·5

Extra tips for CAT Mensuration Questions and Answers:

• In order to solve CAT Mensuration Questions and Answers successfully, nurush up the concepts of concentric circles and rectangles, concepts of circle such as: arcs, sectors, etc.
• Ideally, you should start the solution by first analyzing the question and dividing it into sub parts. Visualize how the various shapes are interconnected and which parameters are to be found.
• List the given parameters and unknown ones and map them to the respective shapes and formulas.
• Check the diagram drawn and whether it satisfies all the given conditions. Only then proceed further with the calculations. Remember! If you don’t get the diagram right, you will end up with the wrong answer.