Geometry Previous Year Questions (CAT)  Set 0005

Previous years`s CAT questions: Geometry
Post your solutions as reply to respective questions below.

Question 1
The length of the circumference of a circle equals the perimeter of a triangle of equal sides, and also the perimeter of a square. The areas covered by the circle, triangle, and square are c, t, and s, respectively. Then,
(1) s > t > c
(2) c > t > s
(3) c > s > t
(4) s > c > t (CAT 2003 Retest)

Answer: Option 3

Question 2
(CAT 2003 Retest)

Answer: Option 3

Question 3
(CAT 2003 Retest)

Answer: Option 3

Question 4
Consider two different clothcutting processes. In the first one, n circular cloth pieces are cut from a square cloth piece of side a in the following steps: the original square of side a is divided into n smaller squares, not necessarily of the same size; then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle of maximum possible area is cut from the square of side a and the process ends there. The cloth pieces remaining after cutting the circles are scrapped in both the processes. The ratio of the total area of scrap cloth generated in the former to that in the latter is:
(CAT 2003 Retest)

Answer: Option 1

Question 5
(CAT 2003 Retest)

Answer: Option 1

Question 6
(CAT 2003 Retest)

Answer: Option 1

Question 7
(CAT 2003 Retest)

Answer: Option 3

Question 8
(CAT 2002)

Answer: Option 4

Question 9
(CAT 2002)

Answer: Option 1

Question 10
(CAT 2002)Â