Common Admission Test (CAT) Questions and Answers with Explanation

Q:

Find the C.I. on Rs. 15,225 for 9 months at 16% per annum compounded quarterly ?

A) Rs. 1911	B) Rs. 1909
C) Rs. 1901	D) Rs. 1907

Answer & Explanation Answer: C) Rs. 1901

Explanation:

P = Rs. 15225, n = 9 months = 3 quarters, R = 16% p.a. per quarter.

Amount = $15225 x {(1 + \frac{4}{100})}^{3}$

= (15225 x 26/25 x 26/25 x 26/25) = Rs. 17126.05

=> C.I. = 17126 - 15625 = Rs. 1901.05.

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Filed Under: Compound Interest
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Q:

Who is known as Deenbandhu?

A) Vinoba Bhave	B) Chitranjan das
C) C. N. Annadurai	D) C. F. Andrews

Answer & Explanation Answer: D) C. F. Andrews

Explanation:

C. F. Andrews - Charles Freer Andrews was known as Deenbandhu. He was given this name by Mahathma Gandhi for his contributions towards Indian independence.

Who_is_known_as_Deenbandhu1556519119.png image

Deenbandhu means a friend of the poor.

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Q:

Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?

A) 40 km	B) 50 km
C) 70 km	D) 80 km

Answer & Explanation Answer: D) 80 km

Explanation:

Let the total distance be 'x' km.

Time taken to cover remaining 40% of x distance is $t 1 = \frac{40 \times x}{100 \times 48}$

But given time taken to cover first 60% of x distance is $t 2 = t 1 + \frac{20}{60} h r s$

$t 2 = \frac{60 \times x}{100 \times 48}$

$∴ \frac{60 \times x}{100 \times 48} = \frac{40 \times x}{100 \times 48} + \frac{20}{60}$

x=80 km.

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Filed Under: Time and Distance
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12 8299

Q:

On a ruler's tombstone, it is said that one sixth of his life was spent in childhood and one twelfth as a teenager. One seventh of his life passed between the time he became an adult and the time he married; five years later, his son was born. Alas, the son died four years before he did. He lived to be twice as old as his son did. How old did the ruler live to be ?

A) 84 years	B) 72 years
C) 82 years	D) 64 years

Answer & Explanation Answer: A) 84 years

Explanation:

Let the age of ruler is x so that of son = x/2 (given)
Now according to the given condition
(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x
=> x = 84

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Filed Under: Problems on Ages
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Q:

How many rectangles can be drawn with 36 cm as the perimeter, given that the sides are positive integers in cm?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: B) 9

Explanation:

Perimeter = 36

⇒ 2 ( l + w ) = 36

⇒ l + w = 18

Since length and width are positive integers in centimeters.

Therefore, possible dimensions are :

( 1, 17 )cm , ( 2, 16 ) cm , ( 3, 15 ) cm, (4 , 14) cm, ( 5,13) cm, ( 6, 12) cm , ( 7, 11) cm, ( 8, 10 ) cm, ( 9, 9) cm.

Hence, there are 9 rectangles.

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Filed Under: Arithmetical Reasoning
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Q:

Hemavathi gets 3 marks for each right sum and loses 2 marks for each wrong sum. He attempts 35 sums and obtains 60 marks. The number of sums attempted correctly is ?

A) 23	B) 24
C) 25	D) 26

Answer & Explanation Answer: D) 26

Explanation:

Let, Hema attempted 'k' sum correctly, then

k x 3 -2 x(35-k) = 60
5k = 130
k = 26

so 26 correct sums.

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Filed Under: Simplification
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Q:

How important is positive attitude to you ?

Answer

With a positive attitude you see the bright side of life, become optimistic, and expect the best to happen. It is certainly a state of mind that is well worth developing. Not only it enriches one’s experience of life, but it also paves the way for self-development leading one towards attaining the desired results. As regards employment, it is a valuable thing to maintain positive attitude. Whether you are a manager or a subordinate, maintaining positive attitude in the work place brings lots of benefits while allowing you to fulfill your objectives successfully.
A positive frame of mind can help you in many ways, such as:
- Making you feel inspired.
- Identification.
- Believing in yourself and in your abilities.
- You look for solutions, instead of dwelling on problems.
- The most important thing is building relations.

Workspace

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Q:

A person got Rs.48 more when he invested a certain sum at compound interest instead of simple interest for two years at 8% p.a. Find the sum ?

A) Rs.8000	B) Rs.6500
C) Rs.7500	D) Rs.5000

Answer & Explanation Answer: C) Rs.7500

Explanation:

$p = \frac{(d \times 100^{2})}{R^{2}}$

Where d is difference, r is rate of interest.

=> (48 x 100 x 100) / 8 x 8 = Rs.7500

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Filed Under: Simple Interest
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