Get access to the detailed solutions to the previous years questions asked in CMAT exam.
1 Quantitative Aptitude
What is the probability of getting a ‘nine’ or ‘ten’ on a single throw of two dice?
A. 2/9
B. 7/36
C. 1/5
D. 2/7
2 Quantitative Aptitude
The length of a room exceeds its breadth by 2 meters. If the length be increased by 4 meters and the breadth decreased by 2 meters,
the area remains the same. Find the surface area of its walls if the height is 3 meters.
A. 248 m2
B. 424 m2
C. 112 m2
D. 84 m2
3 Quantitative Aptitude
A bus covers a distance of first 50 km in 40 minutes, next 50 km at a speed of 2 km per minute and the next 30 km at a speed of 1.0
km per minute. What is its average speed during the entire journey?
A. 61.5 kmph
B. 55.06 kmph
C. 82.1 kmph
D. 80 kmph
4 Quantitative Aptitude
Three wheels making 60, 36 and 24 revolutions in a minute start with a certain point in their circumference ownwards. Find when
they will again come together in the same position.
A. 4 seconds
B. 5 seconds
C. 10 seconds
D. Never
5 Quantitative Aptitude
A certain amount of money invested at 10% per annum compound interest for two years became Rs. 2000.
What is the initial investment?
A. Rs. 856
B. Rs. 1,625
C. Rs. 1,653
D. Rs. 1,275
6 Quantitative Aptitude
If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone.
A. Remains unaltered
B. Decreases by 25%
C. Increases by 25%
D. Increases by 50%
7 Quantitative Aptitude
An electric appliance is priced at Rs. 600 initially. Because of market recession, price was successively reduced three times, each time by 10% of the price after the earlier reduction. What is the current price?
A. Rs. 420
B. Rs. 437.40
C. Rs. 444.30
D. Rs. 478
8 Quantitative Aptitude
Below given is the Table showing Age-wise Ownership of mobiles:
If 1 crore mobiles were sold last year, how many LG sets were sold?
A. 10000
B. 12500
C. 15000
D. Cannot be determined
10 Quantitative Aptitude
In what time will Rs. 6,250 amount to Rs. 6,632.55 at 4% compound interest payable half-yearly?
A. 1 year
B. 3/2 years
C. 3 years
D. 5/2 years
11 Quantitative Aptitude
Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years was as under.
What is the average salary expenditure(in Lakh Rupees) per Annum during this period?
A. 663.6
B. 666.3
C. 636.6
D. 663.3
12 Quantitative Aptitude
Number of different categories of goods sold in the city over the years (in thousands) is as given under:
In which of the following years was the number of refrigerators sold approximately 25% of the number of cell phones sold?
A. 2011
B. 2012
C. 2013
D. 2014
13 Quantitative Aptitude
In the figure, PQ is a diameter of the circle. Angle PQS =35o. Find angle QRS.
A. 55o
B. 45o
C. 35o
D. 60o
15 Quantitative Aptitude
If a and b are positive real numbers and a x b denotes √ab, what is the value of 8 x (4 x 16)?
A. 41/3
B. 16
C. 8
D. 4√2
16 Quantitative Aptitude
The average age of three men is 50 years and their ages are in the proportion 3:5:7. The age of the youngest man is:
A. 40 years
B. 30 years
C. 35 years
D. 50 years
17 Quantitative Aptitude
By selling mangoes at the rate of 64 for Rs. 2,000, the vendor loses 40%. How many should he sell for Rs.1000 so as to gain 20%?
A. 12
B. 16
C. 15
D. 20
18 Quantitative Aptitude
The area of a triangle metal plate with base 88 cm and altitude 64 cm is to be reduced to one-fourth of its original area by making a
hole of circular shape at the center. The radius of this hole will be:-
A. 24.8 cm
B. 28 cm
C. 56 cm
D. 4√42 cm
19 Quantitative Aptitude
Correct to three places of decimal.
A. 3.141
B. 2.732
C. 3.124
D. 3.732
20 Quantitative Aptitude
A mixture of petrol and kerosene weighing 5 kg contains 5% kerosene. How much more kerosene (approx.) must be added into it to make it 10%?
A. 250 gm
B. 275 gm
C. 300 gm
D. 425 gm
21 Quantitative Aptitude
A student who gets 20% marks fails by 20 marks, but another student who gets 36% marks gets 44 marks more than minimum passing marks. Find the maximum number of marks and percentage necessary for passing.
A. 300, 20%
B. 600, 20%
C. 400, 25%
D. 400, 20%
22 Quantitative Aptitude
If 26 horses or 20 bullocks eat up the fodder in store in 170 days, in what time will 10 horses and 8 bullocks finish the same quantity
of fodder?
A. 212.67 days
B. 162.33 days
C. 212 days
D. 216.67 days
23 Quantitative Aptitude
A boat covers 24 km upstream and 72 km downstream in 8 hours, while it covers 48 km upstream and 108 km downstream in 14 hours. Find the speed of the boat in still water and the speed of the stream respectively.
A. 12 km/h, 6 km/h
B. 10 km/h, 5 km/h
C. 10 km/h, 6 km/h
D. 12 km/h, 5km/h
24 Quantitative Aptitude
A shopkeeper sells rice at the cost price, but uses false weight. He gains 20% in this process. What weight does he uses for one
kilogram?
A. 7331/3g
B. 750 g
C. 8331/3g
D. 850 g
25 Quantitative Aptitude
Working together, Rakesh, Prakash and Ashok can finish the same job in an hour. Also, if Prakash works for an hour, and then Ashok works for four hours, the job will be completed. If Rakesh can do the job an hour quicker than Prakash, how many hours would Ashok take to complete the job alone?
A. 3
B. 4
C. 2.5
D. 6