Common Admission Test (CAT) Questions and Answers with Explanation

Q:

A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year ?

A) 21:29	B) 41:54
C) 32:45	D) 37:51

Answer & Explanation Answer: C) 32:45

Explanation:

A : B
(8000x4)+(4000x8) : (9000x6)+(6000x6)
64000 : 90000
=> 32 : 45

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Filed Under: Ratios and Proportions
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28 26215

Q:

At what time between 3 and 4 o’clock will the minute hand and the hour hand are on the same straight line but facing opposite directions ?

A) 3:15 2/8	B) 3:49
C) 3:49 1/11	D) 3:51

Answer & Explanation Answer: C) 3:49 1/11

Explanation:

On straight line means 180 degree angle.
180 = 11/2 min – 30 hrs
180 = 11/2 m – 30 × 3
180 = 11/2 m – 90
(180 + 90) 2 = 11 m
m = 540/11 = 49 1/11 minutes.

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Filed Under: Clocks
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30 26205

Q:

9 men and 12 boys finish a job in 12 days, 12 men and 12 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days ?

A) 15 days	B) 11 days
C) 14 days	D) 12 days

Answer & Explanation Answer: D) 12 days

Explanation:

9M + 12B ----- 12 days ...........(1)
12M + 12B ------- 10 days........(2)
10M + 10B -------?
108M + 144B = 120M +120B
24B = 12M => 1M = 2B............(3)

From (1) & (3)

18B + 12B = 30B ---- 12 days

20B + 10B = 30B -----? => 12 days.

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Filed Under: Time and Work
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22 26197

Q:

Best (GK) General Knowledge WhatsApp Group

Answer

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Q:

The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?

A) 7:3	B) 5:3
C) 8:5	D) 2:7

Answer & Explanation Answer: B) 5:3

Explanation:

$W 1 : A 1 W 2 : A 2 . . . . . W N : A N$

2 : 3 4 : 5 5 : 7

$\frac{W 1}{W 1 + A 1} = \frac{2}{5} \frac{W 2}{W 2 + A 2} = \frac{4}{9} \frac{W N}{W N + A N} = \frac{5}{12}$

= 72/180

= 80/180

= 75/180

=> 5 : 3

Therefore, the ratio is 5: 3

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Filed Under: Alligation or Mixture
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49 26098

Q:

A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days ?

A) 9 days	B) 11 days
C) 13 days	D) 15 days

Answer & Explanation Answer: C) 13 days

Explanation:

Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.

Then, 10 : 13 :: 23 : x => x = ( 23 x 13/10 ) => x = 299 /10.

A's 1 day's work = 1/23 ;
B's 1 day's work = 10/299 .

(A + B)'s 1 day's work = ( 1/23 + 10/299 ) = 23/299 = 113 .

Therefore, A and B together can complete the work in 13 days.

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Filed Under: Time and Work
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52 25978

Q:

Lover of nature is called

A) Autophile	B) Green panther
C) Dendrophile	D) Petrichor

Answer & Explanation Answer: B) Green panther

Explanation:

Lover of nature is called nature lover or Green Panther.

nature_lover1533114089.jpg image

Autophile is a person who loves being alone.

Dendrophile is a person who loves trees and forests.

Petrichor is an earthy smell that follows a rainfall.

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Filed Under: English
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Q:

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days what is time taken by 15 men and 20 boys?

A) 4 days	B) 6 days
C) 7 days	D) 5 days

Answer & Explanation Answer: A) 4 days

Explanation:

Given that

6 men and 8 boys can do a piece of work in 10 days

26 men and 48 boys can do the same in 2 days

As the work done is equal,

10(6M + 8B) = 2(26M + 48B)

60M + 80B = 52M + 96B

=> M = 2B

=> B = M/2 ……(1)

Now Put (1) in 15M + 20B

=> 15M + 10M = 25M

Now, 6M + 8B in 10 days

=> (6M + 4M) 10 = 100M

Then D(25M) = 100M

=> D = 4 days.

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Filed Under: Time and Work
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