Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A person takes a loan of Rs. 200 at 5% simple interest. He returns Rs.100 at the end of one year. In order clear his dues at the end of 2 years, he would pay :

A) Rs. 100	B) Rs. 105
C) Rs. 115	D) Rs. 110

Answer & Explanation Answer: C) Rs. 115

Explanation:

Amount to be paid = $R s . [100 + \frac{200 \times 5 \times 1}{100} + \frac{100 \times 5 \times 1}{100}]$ = Rs. 115.

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Filed Under: Simple Interest
Exam Prep: CAT
Job Role: Bank Clerk

34 20643

Q:

5 men and 4 women are to be seated in a row so that the women occupy the even places . How many such arrangements are possible?

A) 2880	B) 1440
C) 720	D) 2020

Answer & Explanation Answer: A) 2880

Explanation:

There are total 9 places out of which 4 are even and rest 5 places are odd.

4 women can be arranged at 4 even places in 4! ways.

and 5 men can be placed in remaining 5 places in 5! ways.

Hence, the required number of permutations = 4! x 5! = 24 x 120 = 2880

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Filed Under: Permutations and Combinations
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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8 20614

Q:

P and Q can complete a job in 24 days working together. P alone can complete it in 32 days. Both of them worked together for 8 days and then P left. The number of days Q will take to complete the remaining work is ?

A) 56 days	B) 54 days
C) 60 days	D) 64 days

Answer & Explanation Answer: D) 64 days

Explanation:

(P+Q)'s 1 day work = 1/24

P's 1 day work = 1/32

=> Q's 1 day work = 1/24 - 1/32 = 1/96

Work done by (P+Q) in 8 days = 8/24 = 1/3

Remainining work = 1 - 1/3 = 2/3

Time taken by Q to complete the remaining work = 2/3 x 96 = 64 days.

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

22 20595

Q:

If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ?

A) 72 years	B) 54 years
C) 60 years	D) 47 years

Answer & Explanation Answer: C) 60 years

Explanation:

Let the Present age of arun is x
Gokul's age = 5-2 = 3
x-6/18 = 3
x-6 = 54
x = 60
Arun's present age = 60 years

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT
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22 20554

Q:

A sweet seller sells 3/5th part of sweets at a profit of 10% and remaining at a loss of 5%. If the total profit is Rs 1500, then what is the total cost price of sweets ?

A) Rs.37,500	B) Rs.36,400
C) Rs.37,415	D) Rs.36,500

Answer & Explanation Answer: A) Rs.37,500

Explanation:

Assume A be the cost price.

Therefore,
$(\frac{3}{5} \times A \times \frac{10}{100}) - (\frac{2}{5} \times A \times \frac{5}{100}) = 1500$

=> A = Rs 37,500.

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Filed Under: Profit and Loss
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

30 20491

Q:

Square is to Triangle and Cube is to

A) Pyramid	B) Rectangle
C) Ice	D) Rhombus

Answer & Explanation Answer: A) Pyramid

Explanation:

Square is 2-dimensional 4 sided figure Whereas Cube is 3-dimensional figure which looks like Square.

Similarly, Triangle is 2-dimensional 3 sided figure Whereas Pyramid is 3-dimensional figure which looks like Triangle.

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Filed Under: Analogy
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

14 20487

Q:

How many degrees will the minute hand move, in the same time in which the second hand move 4800 ?

A) 80 deg	B) 160 deg
C) 140 deg	D) 135 deg

Answer & Explanation Answer: A) 80 deg

Explanation:

As minute hand covers, 60 degrees

Minute hand covers 4800/60 = 80°

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Filed Under: Clocks
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

34 20421

Q:

An accurate clock shows 7 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 3 o'clock in the afternoon?

A) 144º	B) 168º
C) 180º	D) 150º

Answer & Explanation Answer: C) 180º

Explanation:

Angle traced by the hour hand in 6 hours = $\frac{360^{o}}{12} \times 6$ = $180^{o}$ .

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Filed Under: Clocks
Exam Prep: CAT
Job Role: Bank Clerk

41 20420

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