CAT Questions

Q:

Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons between B and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of persons in the queue?

A) 41 B) 40
C) 28 D) 27
 
Answer & Explanation Answer: C) 28

Explanation:

Three persons A, B, C can be arranged in a queue in six different ways, ie ABC, CBA, BAC, CAB, BCA, ACB. But since there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possible arrangements, ie CBA and CAB.

 

We may consider the two cases as under:

Case I:  3C8B5A21

 

Clearly, number of persons in the queue = (3+1+8+1+5+1+21=) 40

 

Case II:  3C A5B

 

Number of persons between A and C                  

 

= (8 - 6) = 2   

[C8B A21B]

 

Clearly number of persons in the queue = (3+1+2+1+21) = 28

 

Now, 28 < 40. So, 28 is the minimum number of persons in the queue.                                                     

 

 

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159 22616
Q:

The second day of a month is Sunday, What will be the last day of the next month which has 31 days  ?

A) Friday B) Saturday
C) Sunday D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

We cannot find out the answer because the number of days of the current month is not given.

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Filed Under: Calendar
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55 22585
Q:

In a pot, there is a mixture of milk and water in the ratio 4 : 5. If it is filled with an additional 8 litres of milk, the pot would be full and ratio of milk and water would become 6 : 5. Find the capacity of the pot ?

A) 11 lit B) 22 lit
C) 33 lit D) 44 lit
 
Answer & Explanation Answer: B) 22 lit

Explanation:

Let the capacity of the pot be 'P' litres.
Quantity of milk in the mixture before adding milk = 4/9 (P - 8)
After adding milk, quantity of milk in the mixture = 6/11 P.
6P/11 - 8 = 4/9(P - 8)
10P = 792 - 352 => P = 44.

The capacity of the pot is 44 liters.

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Filed Under: Alligation or Mixture
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43 22401
Q:

A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of  6 : 5 : 4. Find the total earnings, If B earns Rs. 250 more than A :

A) Rs. 6000 B) Rs. 7250
C) Rs. 5000 D) None of these
 
Answer & Explanation Answer: B) Rs. 7250

Explanation:

                                         A                  B                   C

 

investment                    3x                 4x                  5x

 

Rate of return              6y%              5y%                4y%

 

Return                        18xy100  20xy100  20xy100                

 

               Total = (18+20+20) = 58xy100

 

     B's earnings - A's earnings  = 2xy100 = 250

 

     Total earning = 58xy100 = 7250

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Filed Under: Profit and Loss
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67 22400
Q:

Find the odd man out of the following number series?

222, 271, 308, 332, 348, 357

A) 271 B) 308
C) 332 D) 348
 
Answer & Explanation Answer: B) 308

Explanation:

Here the given series 222, 271, 308, 332, 348, 357 follows a pattern that

222

222 + 49  271

271 + 36 = 307 (NOT 308)

307 + 25 = 332

332 + 16 = 348

348 + 9 = 357

 

Hence, the odd man in the fiven number series is 308.

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1 22399
Q:

In a certain coding language, iF GO = 32 & SHE = 49 then SOME will be equal to ?

A) 56 B) 58
C) 62 D) 64
 
Answer & Explanation Answer: A) 56

Explanation:

If we count letters till the end of the alphabet including that letter in reverse order then
Here the values are nothing but the values corresponding to the alphabets when taken in a reverse order,i.e,A=26 ,B=25...,Z=1
G = 20 and O = 12 totaling 32
S = 8, H = 19 and E = 22 totaling 49

So
SOME = 8 + 12 + 14 + 22 = 56.

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Filed Under: Coding and Decoding
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102 22399
Q:

Badminton is national game of which country?

A) Indonesia B) Bhutan
C) Argentina D) USA
 
Answer & Explanation Answer: A) Indonesia

Explanation:

Badminton is national game of Indonesia.

 

Given below are some countries with their national games ::

 

Country                              National Game

 

Japan                                 Judo.

England                             Cricket.

Spain                                Bull Fighting.

Sri Lanka                           Volley Ball.

Indonesia                           Badminton.

China                                 Table Tennis.

Bhutan                               Archery.

USA                                   Baseball.

Canada                               Ice Hockey.

Bangladesh                         Kabaddi.

Pakistan                             Hockey.

Scotland                             Rugby Football.

Germany                            Football.

Argentina                            Pato.

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Filed Under: Sports
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43 22369
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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