Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Ashwin fires two bullets from the same place at an interval of 15 minutes but Rahul sitting in a bus approaching the place hears the second sound 14 minutes 30 seconds after the first. If sound travels at the speed of 330 meter per second, what is the approximate speed of bus?

A) 330/29 m/s	B) 330 x 30 m/s
C) 330/14 m/s	D) 330/900 m/s

Answer & Explanation Answer: A) 330/29 m/s

Explanation:

Second gun shot take 30 sec to reach rahul imples distance between two.

given speed of sound = 330 m/s

Now, distance = 330 m/s x 30 sec

Hence, speed of the bus = d/t = 330x30/(14x60 + 30) = 330/29 m/s.

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Filed Under: Time and Distance
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24 11896

Q:

How many $\frac{1}{8}$ ' s are there in $37 \frac{1}{2}$ ?

A) 300	B) 400
C) 500	D) 600

Answer & Explanation Answer: A) 300

Explanation:

$37 \frac{1}{2} = \frac{75}{2}$

Required number = $\frac{\frac{75}{2}}{\frac{1}{8}}$ = 75 x 4 = 300

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Filed Under: Simplification
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Q:

ITC sells one product at a profit of 20% another at a loss of 20% at the same selling price. What is the loss incurred by ITC?

A) 1%	B) 2%
C) 4%	D) 0%

Answer & Explanation Answer: C) 4%

Explanation:

loss % = ${(\frac{c o m m o n g a i n o r l o s s}{10})}^{2}$ %

= (20/10)x(20/10)% = 4%

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Filed Under: Profit and Loss
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18 11886

Q:

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

A) 24%	B) 29%
C) 34%	D) 25%

Answer & Explanation Answer: D) 25%

Explanation:

Here, k = 7 and l = 28
Therefore, first number = $\frac{k}{l}$ x100 % of second number = 7/28 x 100% of second number = 25% of second number.

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Filed Under: Percentage
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12 11874

Q:

A program in execution is called

A) Procedure	B) Function
C) Process	D) Instruction

Answer & Explanation Answer: C) Process

Explanation:

We know that a computer program is a set of instructions to be executed. And if the instructions are in execution, then it is called as process. In brief, a program in execution is called as process.

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18 11834

Q:

After working for 8 days, Arun finds that only $\frac{1}{3}$ rd of the work has been done. He employs Akhil who is 60% as efficient as Arun. How many days more would Akhil take to complete the work?

A) 24.5 days	B) 26.6 days
C) 25 days	D) 20 days

Answer & Explanation Answer: B) 26.6 days

Explanation:

Arun has completed $\frac{1}{3}$ rd of the work in 8 days

Then he can complete the total work in

$\frac{1}{3}$ ---- 8

1 ---- ?

= 24 days

But given Akhil is only 60% as efficient as Arun

Akhil = $\frac{1}{24} \times \frac{60}{100} = \frac{1}{40}$

Akhil can complete the total work in 40 days

Now, remaining 2/3rd of work can be completed in

1 ------ 40

$\frac{2}{3}$ ------ ?

= 26.66 days.

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Filed Under: Time and Work
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18 11832

Q:

Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ?

A) 7 : 12	B) 8 : 13
C) 9 : 4	D) 2 : 5

Answer & Explanation Answer: B) 8 : 13

Explanation:

To get the solution that contains 1 part of milk and two parts of water,
they must be mixed in the ratio as
7x+6x/5y+11y = 1/2
26x = 16y
x/y = 16/26
x/y = 8/13

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Filed Under: Ratios and Proportions
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19 11832

Q:

A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A) 7:4	B) 11:4
C) 4:7	D) 8:3

Answer & Explanation Answer: D) 8:3

Explanation:

Let the speed of the boat upstream be p kmph and that of downstream be q kmph

Time for upstream = 8 hrs 48 min = $8 \frac{4}{5}$ hrs

Time for downstream = 4 hrs

Distance in both the cases is same.

=> p x $8 \frac{4}{5}$ = q x 4

=> 44p/5 = 4q

=> q = 11p/5

Now, the required ratio of Speed of boat : Speed of water current

= $\frac{q + p}{2} : \frac{q - p}{2}$

=> (11p/5 + p)/2 : (11p/5 - p)/2

=> 8 : 3

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Filed Under: Boats and Streams
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