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Get access to the detailed solutions to the previous years questions asked in CMAT exam.
1 Quantitative Aptitude
How much time does Mr.Surya take to cover a distance of 500 m if he runs at a speed of 25 km/hr?
A. 35 sec
B. 80 sec
C. 60 sec
D. 72 sec
2 Quantitative Aptitude
What is the area covered by a bell-shaped curve from —6 sigma to +6 sigma in normal distribution?
A. 99.73%
B. 99.99%
C. 99.999666%
D. 99.9999%
3 Quantitative Aptitude
The following table lists the marks of seven students(rows) of a class across six subjects(columns). The Numbers in the Parenthesis indicate the maximum marks of the subject concerned. Use the data in the table to answer the question that follows :
Who is the topper of the class?
A. Maya
B. Arya
C. Roopesh
D. Riya
4 Quantitative Aptitude
Rajesh can check the quality of 1000 items in 5 hours and Rakesh can complete 75% of the same job in 3 hours. How much time is required for both of them to check 1300 items, if Rakesh stops checking after 2 hours?
A. 1 hour
B. 2 hours
C. 4 hours
D. 3 hours
5 Quantitative Aptitude
Two oranges, three bananas and four apples cost Rs. 15. Three oranges, two bananas and one apple cost Rs. 10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?
A. Rs. 10
B. Rs. 8
C. Rs. 15
D. Cannot be determined
6 Quantitative Aptitude
What value should come in place of question mark(?) in the following equation?
360√?+ 4500 = 19700 - 9800
A. 395
B. 295
C. 225
D. 215
7 Quantitative Aptitude
In a building, there are 30 cylindrical pillars. The radius of each pillar is 35 cm and height is 5 m. Find out the cost of painting the curved surface of half the number of pillars. The rate of painting is Rs. 10 per.
A. Rs. 16500
B. Rs. 8250
C. Rs. 1650
D. Rs. 4125
8 Quantitative Aptitude
A management institute has 6 senior professors and 4 junior professors, 3 professors are selected at random for a government project. The probability that at least one of the junior professors would get selected is :
A. 2/3
B. 1/5
C. 5/6
D. 1/6
9 Quantitative Aptitude
The angle created by two hands of a clock when the clock shows 5.20 P.M. is :
A. 10°
B. 60°
C. 35°
D. 40°
10 Quantitative Aptitude
The total volume of soaps sold is 680 lakhs units. The volume of Lux sold is 136 lakh units. If the percentage of Lifebuoy sold is 30%, Camay 10%, Liril 15% and Mysore Sandal 10%, answer the following questions.
What is the market share of others in percentage points?
A. 15
B. 13.5
C. 16.8
D. 16
11 Quantitative Aptitude
A. 2.7 cm
B. 2.9 cm
C. 2.8 cm
D. 3.4 cm
12 Quantitative Aptitude
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or person 2. Task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?
A. 360
B. 192
C. 144
D. 180
13 Quantitative Aptitude
The maximum value of 3 cosx + 4 sinx + 8 is
A. 15
B. 3
c. 13
D. 7
14 Quantitative Aptitude
If one third of one-fourth of a number is 15, then three-tenth of that number is
a. 61
B. 54
C. 46
D. 38
16 Quantitative Aptitude
What is the probability of drawing a king or a heart from a deck of cards ?
A. 1/13
B. 1/52
c. 17/15
D. 4/13
17 Quantitative Aptitude
The sum of three consecutive odd numbers is 20 more than the first number. What is the middle number ?
A. 7
B. Data Inadequate
C. 11
D. 9
18 Quantitative Aptitude
In a simultaneous throw of a pair of dice, find the probability of getting a total of 9 or more.
A. 5/18
b. 5/12
C. 2/7
D. 2/36
19 Quantitative Aptitude
The length, breadth and height of a rectangular cuboid are in the ratio 1: 2 : 3. If the length, breadth and height are increased by 100% each then what would be the increase in the volume of the cuboid?
A. 3 times
B. 7 times
C. 10 times
D. 9 times
20 Quantitative Aptitude
It costs Rs. 6000/- and Rs. 6,100- respectively to paint the 4 walls of 2 square halls, of the same height. If the length of one hall exceeds the length of the other by 1 m and the cost of painting is Rs. 5 per sq.m., what is the height of the two walls?
A. 10 m
B. 7.5 m
C. 3 m
D. 5 m
21 Quantitative Aptitude
A rectangular box of width(a), length(b), and height(c) has a solid cylinder of height 'c' and of diameter 'a' placed within it. If a= 6, b =8 and c =10, how much volume is left in the rectangular box?
A. 480 − 180π
B. 240 − 96π
C. 380 − 90π
D. 480 − 90π
22 Quantitative Aptitude
If f(x) = x3 - 4x + p and f(0) and f(1) are of opposite signs, Which one of the following is neccessarily true?
A. -1 < p < 2
B. 0 < p < 3
C. -2 < p < 1
D. -3 < p < 0
23 Quantitative Aptitude
The speed of a boat in still water is 5 km/hr. If it takes thrice as much time in going 20 km upstream as in going the same distance downstream, find the speed of the stream.
A. 5.5 km/hr
B. 2.5 km/hr
C. 3.5 km/hr
D. 4.5 km/hr
24 Quantitative Aptitude
Three solid cubes of sides 1 cm, 6 cm and 8 cm are melted to form a new cube. Find the surface area of the cube so formed.
A. 729 cm2
B. 486 cm2
C. 125 cm2
D. 529 cm2
25 Quantitative Aptitude
The speeds of 3 cars in the ratio 5:4:6. The ratio between the time taken by them to travel same distance is
A. 12 :15 :10
B. 12 :10 :13
C. 9:8:7
D. 15 :12 :11