Geometry Previous Year Questions (CAT)  Set 0006

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

Question 1
There is a common chord of 2 circles with radius 15 and 20. The distance between the two centres is 25. The length of the chord is
(1) 48
(2) 24
(3) 36
(4) 28Â Â (CAT 2002)Â

Answer: Option 2

Question 2
The area of the triangle with the vertices (a, a), (a + 1, a) and (a, a + 2) is
(1) a^{3}
(2) 1
(3) 0
(4) None of these (CAT 2002)

Answer: Option 2

Question 3
On the corners of a square field of side 14 metres, 4 horses are tethered in such a way the adjacent horses just reach each other. There is a circular pond of area 20 sq.m. in the centre of the square. What is the area left ungrazed?
(1) 154 sq.m
(2) 22 sq.m
(3) 120 sq.m
(4) None of these (CAT 2002)

Answer: Option 2

Question 4

Answer: Option 4

Question 5
(CAT 2001)

Answer: Option 2

Question 6
(CAT 2001)

Answer: Option 1

Question 7
Two sides of a plot measure 32 metres and 24 metres and the angle between them is a perfect right angle. The other two sides measure 25 metres each and the other three are not right angles.
What is the area of the plot?
(1) 768
(2) 534
(3) 696.5
(4) 684 (CAT 2001)

Answer: Option 4

Question 8
(CAT 2001)

Answer: Option 3

Question 9
Each side of a given polygon is parallel to either the X or the Y axis. A corner of such a polygon is said to be convex if the internal angle is 90° or concave if the internal angle is 270°. If the number of convex corners in such a polygon is 25, the number of concave corners must be
(1) 20
(2) 0
(3) 21
(4) 22 (CAT 2003 Leaked)

Answer: Option 3

Question 10
A rectangular pool 20 metres wide and 60 metres long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square metres, how wide, in metres, is the walkway?
(1) 43
(2) 4.3
(3) 3
(4) 3.5 (CAT 2001)