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CMAT 2018 Slot 2 (Quantitative Aptitude)

Previous Year Questions with Detailed Solutions

25 Questions CMAT Free Access

Practice CMAT 2018 Slot 2 (Quantitative Aptitude) previous year questions with step-by-step solutions from the CMAT exam. Every question includes the correct answer and a full worked explanation — no need to leave the page.

Q1

Quantitative Aptitude

What is the probability of getting a ‘nine’ or ‘ten’ on a single throw of two dice?

A

A. 2/9

B

B. 7/36

C

C. 1/5

D

D. 2/7

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B. 7/36

Probability = Expected number of outcomes/ Total number of outcomes.
Total number of outcomes we get in a single throw of two dice = 6 x 6 = 36.

Possible cases of getting 'nine' in a single throw of two dice:

dice 1   dice 2
three    six.......................(1)
six         three.................(2)
four      five.....................(3)
five       four...................(4)

So, total of 4 cases.
Possible cases of getting 'ten' in a single throw of two dice:

dice 1   dice 2
four    six.......................(1)
six         four.................(2)
five      five.....................(3)

So, total of 3 cases.
Expected number of outcomes = Total possible cases of getting 'nine' or 'ten' in a single throw of two dice = 4 + 3 = 7 .
So, Probability = 7/36.

Q2

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

A. 248 m2

B

B. 424 m2

C

C. 112 m2

D

D. 84 m2

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D. 84 m2

Let the breadth (b) of the room be 'x' metres.

then, length (I) of the room = x + 2 metres.

Area (A) = l x b = x(x +2) m2

Given, length is increased by 4 meters and the breadth decreased by 2 meters
Then, new length(l') of the room = x+6 metres
new breadth(b') of the room = x-2 metres
New Area(A') of the room = l' x b' = (x + 6) (x - 2) m2

Also given that A = A'

⇒ x(x + 2) = (x + 6)(x − 2)
⇒ x2 + 2x = x2 + 4x − 12
⇒ 2x = 12
⇒ x = 6

Therefore the length of the room (l) = 8 metres
and breadth of the room (b) = 6 metres
and given height of the room (h) = 3 metres
Since the room will be in the shape of a cuboid, Surface area = 2(l x b + b x h + l x h)

But the Surface area of Walls = Total Surface area - Area of Roof and Floor = 2(l x b - b x h + l x h) - 2(l x b) = 2(8 x 3 + 6 x 3) = 84m2

Q3

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

A. 61.5 kmph

B

B. 55.06 kmph

C

C. 82.1 kmph

D

D. 80 kmph

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C. 82.1 kmph

Average Speed = Total distance covered ÷ Total time taken 

Total distance travelled = 50 + 50 + 30 = 130  km

Total time taken = Time taken to travel first 50 km  + Time taken to travel next 50 km + Time taken to travel next 30 km = 40 + 50 ÷ 2 + 30 ÷ 1 = 95 min. = 95/60 hours.

=> Average Speed = 130 ÷ 95/60 = 82.1 kmph

Q4

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

A. 4 seconds

B

B. 5 seconds

C

C. 10 seconds

D

D. Never

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B. 5 seconds

First wheel makes 60 revolution in 1 minute

=> It makes 60 revolutions in 60 seconds

=> It makes 1 revolution 1 second.

This implies, after every 1 second the certain point at which the wheel started its revolution reaches its initial position.

Similarly, Second wheel and Third wheel makes 36 and 24 revolution in 1 minute respectively.

=> Second and Third wheel makes 1 revolution in 5/3 and 5/2 seconds respectively.

So for all the multiples of 5/3 and 5/2 seconds the certain point of second wheel and third reaches its initial position respectivley.

After LCM {1, 5/3, 5/2} seconds all the three wheels will come together in the same position

LCM of fractions = LCM of numerators/HCF of denominators

=> LCM {1, 5/3, 5/2} = LCM {1, 5, 5} ÷1 = 5

Hence, after 5 seconds all the wheels will come again together in the same position.

Q5

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

A. Rs. 856

B

B. Rs. 1,625

C

C. Rs. 1,653

D

D. Rs. 1,275

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C. Rs. 1,653

If the principle amount 'P', when compounded annually for 'n' years at 'R%" interest rate per annum, becomes P'.

Q6

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

A. Remains unaltered

B

B. Decreases by 25%

C

C. Increases by 25%

D

D. Increases by 50%

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B. Decreases by 25%

Q7

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

A. Rs. 420

B

B. Rs. 437.40

C

C. Rs. 444.30

D

D. Rs. 478

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B. Rs. 437.40

Q8

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

A. 10000

B

B. 12500

C

C. 15000

D

D. Cannot be determined

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D. Cannot be determined

Q9

Quantitative Aptitude

A

A. 16.4

B

B. 14.4

C

C. 16

D

D. 14

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D. 14

Q10

Quantitative Aptitude

In what time will Rs. 6,250 amount to Rs. 6,632.55 at 4% compound interest payable half-yearly?

A

A. 1 year

B

B. 3/2 years

C

C. 3 years

D

D. 5/2 years

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B. 3/2 years

Q11

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

A. 663.6

B

B. 666.3

C

C. 636.6

D

D. 663.3

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A. 663.6

Q12

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

A. 2011

B

B. 2012

C

C. 2013

D

D. 2014

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D. 2014

Q13

Quantitative Aptitude

In the figure, PQ is a diameter of the circle. Angle PQS =35o. Find angle QRS.

A

A. 55o

B

B. 45o

C

C. 35o

D

D. 60o

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A. 55o

Q14

Quantitative Aptitude

A

A. x > y

B

B. y > x

C

C. x = y

D

D. None

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B. y > x

Q15

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

A. 41/3

B

B. 16

C

C. 8

D

D. 4√2

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C. 8

Q16

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

A. 40 years

B

B. 30 years

C

C. 35 years

D

D. 50 years

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B. 30 years

Q17

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

A. 12

B

B. 16

C

C. 15

D

D. 20

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B. 16

Q18

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

A. 24.8 cm

B

B. 28 cm

C

C. 56 cm

D

D.  4√42 cm

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D.  4√42 cm

Q19

Quantitative Aptitude

Correct to three places of decimal.

A

A. 3.141

B

B. 2.732

C

C. 3.124

D

D. 3.732

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D. 3.732

Q20

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

A. 250 gm

B

B. 275 gm

C

C. 300 gm

D

D. 425 gm

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B. 275 gm

Q21

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

A. 300, 20%

B

B. 600, 20%

C

C. 400, 25%

D

D. 400, 20%

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C. 400, 25%

Q22

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

A. 212.67 days

B

B. 162.33 days

C

C. 212 days

D

D. 216.67 days

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D. 216.67 days

Q23

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

A. 12 km/h, 6 km/h

B

B. 10 km/h, 5 km/h

C

C. 10 km/h, 6 km/h

D

D. 12 km/h, 5km/h

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A. 12 km/h, 6 km/h

Q24

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

A. 7331/3g

B

B. 750 g

C

C. 8331/3g

D

D. 850 g

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C. 8331/3g

Q25

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

A. 3

B

B. 4

C

C. 2.5

D

D. 6

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D. 6

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