CMAT 2022 QA & DI | Previous Year CMAT Paper
If the cost price is 80% of the selling price, then what is the profit in percentage?
- A.
20%
- B.
25%
- C.
16%
- D.
22.5%
Solution
Discuss
ReportThe average age of three friends is 20 years and their ages are in the proportion 2:3:5, the age of the oldest friend is:
- A.
12 years
- B.
18 years
- C.
30 years
- D.
40 years
If a 30 meter ladder is placed against a wall such that it just reaches the top of the wall, if the horizontal distance between the wall and the base of the ladder is 1/3rd of the length of ladder, then the height of wall is:
- A.
25 meter
- B.
20√2 meter
- C.
20√3 meter
- D.
20 meter
The following pie chart embodies the details about the per cent production by seven different companies A‐G with the total production for all companies at 1500 units.
- Companies A & G are producing more than 500 units
- Companies B & F are producing less than 250 units
- Companies C & E account for 705 units
- Companies D & G are producing less than 200 units
- Companies E, F & G account for 545 units
- A.
Only (A) & (B) are true
- B.
Only (B) & (C) are true
- C.
Only (D) & (E) are true
- D.
Only (A) & (E) are true
With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 30 km/hr, it is late by 36 minutes. The total distance travelled by train is :
- A.
72 km
- B.
78 km
- C.
60 km
- D.
40 km
Four sheep farmers rented a pasture, Anil grazed his 24 sheep for 3 months, Bimal 10 sheep for 5 months, Champak 35 sheep for 4 months and Damodar 21 sheep for 3 months,. If Anil’s share of rent is Rs. 720, find the total rent of the pasture:
- A.
Rs. 3,200
- B.
Rs. 3,250
- C.
Rs. 2,300
- D.
Rs. 4,000
In a batch of 50 students has ratio of Boys to Girls as 4:6. Average marks of Girls are 60 and Average marks of the batch is 62. Average Marks of Boys will be:
- A.
61
- B.
63
- C.
62
- D.
65
In a bag there are 15 red balls and 10 green balls. Three balls are selected at random. The probability of selecting 2 red balls and 1 green ball is :
- A.
21/46
- B.
25/117
- C.
3/25
- D.
1/50
A copper wire having length of 243m and diameter 4 mm was melted to form a sphere. Find the diameter of the sphere:
- A.
17 cm
- B.
18 cm
- C.
15 cm
- D.
20 cm
A man borrows Rs 4000 at 15% compound interest. At the end of each year he pays back Rs 1500. How much amount is required to pay at the end of third year to clear all his dues :
- A.
Rs. 775.75
- B.
Rs. 973.85
- C.
Rs. 1500
- D.
Rs. 874.75
In a local election between two candidates, one candidate got 55% of the total valid votes and was declared as winner. 15% of the votes were invalid. If the total number of votes polled were 15200, what were the valid votes of the loser:
- A.
6840
- B.
5800
- C.
5814
- D.
6216
If 1/x is a positive fraction and 1/y is a negative fraction then which of the following statements are true
- 1/x + 1/y is positive
- 1/x ‐ 1/y is positive
- x‐y/xy is negative
- 1/x2 – 1/y2 is positive
- A.
Only (A) & (B) are true
- B.
Only (B) & (C) are true
- C.
Only (D) & (E) are true
- D.
Only (A) & (E) are true
The following table embodies the details about the enrollment of students in five different activities namely Swimming, Singing, Drawing, Dancing and Handicraft in a School during the session 2020‐21. A total number of 3000 students including 1750 girls have been enrolled in various activities in the school. Based on the data in the table, match the following :
Choose the correct answer from the options given below:
- A.
(A)‐(II), (B)‐(III), (C)‐(IV), (D)‐(I)
- B.
(A)‐(I), (B)‐(IV), (C)‐(III), (D)‐(II)
- C.
(A)‐(IV), (B)‐(III), (C)‐(II), (D)‐(I)
- D.
(A)‐(III), (B)‐(II), (C)‐(IV), (D)‐(I)
Directions for next 3 questions:
Consider the following table that shows the percentage (%) distribution of workforce of India and ratio of male to female workforce of India in different employment sectors during a given year. Total workforce in all the sectors put together is 60 lakhs. Based on the data contained in the table, answer the question :
The number of female workforce in SE and PR sectors put together is what percent of the number of male workforce in CM sector?
- A.
330%
- B.
318%
- C.
320%
- D.
80%
The number of male workforce in SA and MA sectors put together is approximately what percent of the total number of workforce in PT sector?
- A.
82%
- B.
87%
- C.
89%
- D.
85%
The difference in the number of female workforce in SA and MA sectors put together and the number of female workforce in PT sector is :
- A.
5.1 lakhs
- B.
7.5 lakhs
- C.
5.6 lakhs
- D.
13.2 lakhs
Given below are two statements:
Statement I : The set of numbers (7,8,9,a,b,10,8,7) has an arithmetic mean of 9 and mode(most frequently occurring number) as 8, Then a × b = 120.
Statement II : Let a and b be two positive integers such that a + b + a x b = 84, then a + b =20.
In the light of the above statements, choose the most appropriate answer from the options given below
- A.
Both Statement I and Statement II are correct
- B.
Both Statement I and Statement II are incorrect
- C.
Statement I is correct but Statement II is incorrect
- D.
Statement I is incorrect but Statement II is correct
If (x + y) = 3, xy = 2, then what is the value of x3 + y3 :
- A.
6
- B.
7
- C.
8
- D.
9
One pipe can fill a tank three times as fast as another pipe. If the two pipes together can fill the tank in 36 minutes, then the slower pipe will take how much time to fill the tank alone?
- A.
81 minutes
- B.
108 minutes
- C.
192 minutes
- D.
144 minutes
A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at a random from the bag, one after another. What is the probability that the first ball drawn was red and the second ball drawn was yellow in colour?
- A.
3/14
- B.
5/7
- C.
2/7
- D.
1/14
- E.
1/7