CAT Questions

Q:

A can build a wall in 16 days while B can destroy it in 8 days. A worked for 5 days. Then B joined with A for the next 2 days. Find in how many days could A build the remaining wall ?

A) 12 days B) 14 days
C) 13 days D) 16 days
 
Answer & Explanation Answer: C) 13 days

Explanation:

Now, Total work = LCM(16, 8) = 48

A's one day work = + 48/16 = + 3

B's one day work = - 48/8 = -6

Given A worked for 5 days to build the wall => 5 days work = 5 x 3 = + 15

2days B joined with A in working = 2(3 - 6) = - 6

Remaining Work of building wall = 48 - (15 - 6) = 39

Now this remaining work will be done by A in = 39/3 = 13 days.

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Filed Under: Time and Work
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23 13706
Q:

The average of a set of whole numbers is 27.2. when the 20% of the elements are eliminated from the set of numbers then the average become 34. The number of elements in the new set of numbers can be :

A) 27 B) 35
C) 52 D) 63
 
Answer & Explanation Answer: C) 52

Explanation:

only (c) is correct since it is divisible by 4.

 

Let the original number of element  be x then the new no.of elements will be 

 

            4x5 = K                               

 

So K must be divisible by 4

 

Since,      x =  Kx5/4

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Filed Under: Percentage
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12 13706
Q:

Library is to Book as Book is to

A) Words B) Pages
C) Binding D) Cover
 
Answer & Explanation Answer: B) Pages

Explanation:

A Library consists of Books in the same way Book consists Pages.

 

Hence, Library : Book :: Book : Pages.

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Filed Under: Analogy
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17 13699
Q:

The product of a number and its multiplicative inverse is

A) 1 B) 0
C) -1 D) Infinity
 
Answer & Explanation Answer: A) 1

Explanation:

The mutiplicative inverse of a number is nothing but a reciprocal of a number.

Now, the product of a number and its multiplicative inverse is always equal to 1.

 

For example :

Let the number be 15

Multiplicative inverse of 15 = 1/15

The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.

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Filed Under: Numbers
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21 13696
Q:

In a certain code 'Black' means Orange', 'Orange' means Violet','Violet' means 'Green', 'Green' means 'White' ,'White', means 'Yellow' and 'Yellow' means 'Sky blue', what is the colour of coal ?

A) Orange B) Sky Blue
C) Violet D) Yellow
 
Answer & Explanation Answer: A) Orange

Explanation:

The colour of coal is Black. In the code language ,black is called orange. So, the colour of coal is Orange.

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Filed Under: Coding and Decoding
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50 13674
Q:

NASA and ISRO to come together to inspect 'oldest civilisation' site in ____________ .

A) Gujarat B) Rajasthan
C) Haryana D) Telangana
 
Answer & Explanation Answer: C) Haryana

Explanation:

Teams of the National Aeronautics and Space Administration (NASA) of the United States and the Indian Space Research Organisation (ISRO) would inspect the excavation being carried out at an archaeological site in Haryana’s Fatehabad district to verify claims of it being the oldest civilisation in the world. Archaeologists have recovered artefacts pre-dating the Harappan Civilisation from the site, located in village Kunal in Fatehabad district.

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Filed Under: General Awareness
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18 13654
Q:

Crack the Relation Logical Puzzle ?

20108561_1367416623365438_8515941278875417415_n1501053222.jpg image

A) Son B) Himself
C) Father D) Uncle
 
Answer & Explanation Answer: C) Father

Explanation:

Man's Father is Madhu's Father's Son => Madhu itself. So the Man in the photograph is Madhu's son. 

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Filed Under: Logic Puzzles
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48 13625
Q:

In a certain code language, 'how can you go' is written as 'ja da ka pa', 'can you come here' is written as 'na ka sa ja' and 'cone and go' is written as 'ra pa sa'. How is 'here' written in that code ?

A) na B) ja
C) sa D) None
 
Answer & Explanation Answer: A) na

Explanation:

From the given information :

how can you go = ja da ka pa....(1)
can you come here = na ka sa ja...(2)
come and go = ra pa sa....(3)
from (1)&(2), can you = ja ka...(4)
from (2)&(3), come = sa...(5)
Using (4)&(5) in (2), we get here = na.

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Filed Under: Coding and Decoding
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25 13611