CAT Questions

Q:

In how many different ways can the letters of the word 'HAPPYHOLI' be arranged?

A) 89,972 B) 90,720
C) 72,000 D) 81,000
 
Answer & Explanation Answer: B) 90,720

Explanation:

The given word HAPPYHOLI has 9 letters

These 9 letters can e arranged in 9! ways.

But here in the given word letters H & P are repeated twice each

Therefore, Number of ways these 9 letters can be arranged is 

9!2! x 2! = 9 x 8 x 7 x 6 x 5 x 4 x 32 = 90,720 ways.

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Filed Under: Permutations and Combinations
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Q:

Study of sound is called

A) Agronomy B) Accoustics
C) Aesthetics D) Aeronautics
 
Answer & Explanation Answer: B) Accoustics

Explanation:

Accoustics is a subject deals with the Study of sound

 

Aesthetics is a Philosophy of fine arts

 

The science or art of flight is called Aeronautics

 

The science of soil management is called Agronomy.

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Filed Under: General Awareness
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Q:

A seven letter word containing thousands of letters is what?

Answer

It is a Postbox or a Mailbox which contains thousands of letters or mails or messages.

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Q:

What was the first book ever written?

Answer

The first written story that has come down to us is The Epic of Gilgamesh.


It is a mythologized account of a historical figure, Gilgamesh, a ruler of the Sumerian city-state of Uruk, believed to have ruled sometime between 2700-2500 BC.

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Q:

The More You Have, The Less You See. What is it?

A) Light B) Darkness
C) Sight D) None
 
Answer & Explanation Answer: B) Darkness

Explanation:

The More You Have the Darkness, The Less You See i.e, visible less.

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Q:

Artificial port of India is?

A) Haldia B) Chennai or Madras
C) Mangalore D) Kandla
 
Answer & Explanation Answer: B) Chennai or Madras

Explanation:

Chennai port is known for its Coastal breakwater, artificial, large seaport type of harbor.

Chennai Port, formerly known as Madras Port, is the second largest container port of India, behind the Nhava Sheva Port, and the largest port in the Bay of Bengal. It is the third oldest port among the 13 major ports of India

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Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15 B) 3
C) 9 D) 6
 
Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

 

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
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Q:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?
     

A) 42 kmph B) 43 kmph
C) 40 kmph D) 45 kmph
 
Answer & Explanation Answer: C) 40 kmph

Explanation:

We know that,  Speed = Distance/time

 

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360
 
          speed    =  X Kmph                        Speed = (x+5)
 
            Time =360/X                              Time =360/(x+15)
          

 

For the same journey if the speed increased 10 kmph more it will take 1 hour less

 


Time with original speed - time with increased speed = 1

 => (360/x) - (360/x+10) =  1                               

 =>  (360(x+5)-360x)/x(x+5) =1

 =>   360X + 1800 -360X  = X(X+5)

  =>   X^2 + 5x - 1800 = 0

  X = 40 or -45

 X cannot be negetive value
                  

 X = 40 kmph.

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Filed Under: Problems on Trains
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