cat 2021 Complete Paper Solution | Slot 2
Question 1.
The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is
A
B
C
D
Question 2.
If [3 + {4 + (x - 1)}] - 2 = 0 then 4x equals
A
B
C
D
Question 3.
Consider the pair of equations: - xy - x = 22 and - xy + y = 34. If x > y, then x - y equals
A
8
B
6
C
7
D
4
Question 4.
From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is
A
B
C
D
Question 5.
Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is
A
2 : 3
B
2 : 1
C
5 : 3
D
3 : 2
Question 6.
Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is
A
9000
B
9100
C
9200
D
9150
Question 7.
A box has 450 balls, each either white or black, there being as many metallic white balls as metallic black balls. If 40% of the white balls and 50% of the black balls are metallic, then the number of non-metallic balls in the box is
A
B
C
D
Question 8.
Anil, Bobby and Chintu jointly invest in a business and agree to share the overall profit in proportion to their investments. Anil's share of investment is 70%. His share of profit decreases by ₹ 420 if the overall profit goes down from 18% to 15%. Chintu's share of profit increases by ₹ 80 if the overall profit goes up from 15% to 17%. The amount, in INR, invested by Bobby is
A
2400
B
2200
C
2000
D
1800
Question 9.
If a rhombus has area 12 sq cm and side length 5 cm, then the length, in cm, of its longer diagonal is
A
B
C
√(37) + √(13)
D
√(13) + √(12)
Question 10.
Three positive integers x, y and z are in arithmetic progression. If y − x > 2 and xyz = 5(x + y + z), then z − x equals
A
8
B
10
C
14
D
12
