CAT Questions

Q:

Group the given figures into three classes using each figure only once.

   9_(1)1484718122.png image

A) 1,5,9 ; 2,7,8 ; 3,4,6 B) 2,4,9 ; 6,7,8 ; 1,3,5
C) 3,7,8 ; 4,5,9 ; 1,2,6 D) 1,5,6 ; 4,7,8 ; 2,3,9
 
Answer & Explanation Answer: B) 2,4,9 ; 6,7,8 ; 1,3,5

Explanation:

2, 4, 9 have two similar elements intersecting each other.
6, 7, 8 have two different elements one placed inside the other.
1, 3, 5 have two different elements intersecting each other.

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Filed Under: Grouping of Images
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Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 

A) 87 B) 81
C) 83 D) 85
 
Answer & Explanation Answer: A) 87

Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

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Filed Under: Problems on Numbers
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Q:

Which of the following memory is volatile?

A) RAM B) Floppy disc
C) ROM D) Magnetic tape
 
Answer & Explanation Answer: A) RAM

Explanation:

Volatile memory is computer memory that requires power to maintain the stored information. It is a temporary memeory which cannot contain information permanently.

Example :: RAM or Random Access Memory

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Q:

Fill in the blank with an appropriate word from the following options.

Usually the room tariff in this hotel is higher. At present, it is low because of the------- season.

A) Peak B) Off
C) Down D) Slow
 
Answer & Explanation Answer: B) Off

Explanation:

Season can be either at peak or off.
Presently it is low, that is because of OFF season.

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Filed Under: Analogy
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Q:

Which helps prevent errors in DNA replication?

A) Complementary base pairing reduce errors B) DNA ligase checks the DNA for errors
C) DNA is located in the ribosomes D) Any base can pair with any other base
 
Answer & Explanation Answer: A) Complementary base pairing reduce errors

Explanation:

DNA replication is the biological process of producing two identical replicas of DNA from one original DNA molecule. DNA replication occurs in all living organisms acting as the basis for biological inheritance. Complementary base pairing helps prevent errors in DNA replication.

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Filed Under: Biology
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Q:

Statement 1: Elizabeth has four children.
Statement 2: Two of the children have blue eyes and two of the children have brown eyes.
Statement 3: Half of the children are girls.
If the first three statements are facts, which of the following statements must also be a fact?

a. At least one girl has blue eyes.
b. Two of the children are boys.
c. The boys have brown eyes.

A) a only B) a and b
C) b only D) b and c
 
Answer & Explanation Answer: C) b only

Explanation:

Since half of the four children are girls, two must be boys. It is not clear which children have blue or brown eyes. So only statement (b) follows.

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Q:

If a Siren sounds for every 5 seconds, how many times will it sound in ¾ of an hour?

A) 541 times B) 540 times
C) 450 times D) 275 times
 
Answer & Explanation Answer: A) 541 times

Explanation:

There are 60 minutes in an hour.

In ¾ of an hour there are (60 × ¾) minutes = 45 minutes.

In ¾ of an hour there are (60 × 45) seconds = 2700 seconds.

Siren sounds for every 5 seconds.

In 2700 seconds = 2700/5 = 540 times.

The count start after the first sound, the Siren will sound 541 times in ¾ of an hour.

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Q:

An owner of a Dry fruits shop sold small packets of mixed nuts for Rs. 150 each and large packets for Rs. 250 each. One day he sold 5000 packets, for a total of Rs. 10.50 lakh. How many small packets were sold ?

A) 2000 B) 3000
C) 2500 D) 3500
 
Answer & Explanation Answer: A) 2000

Explanation:

Let 's' be the number of small packets and 'b' the number of large packets sold on that day.

 

Therefore, s + b = 5000 ... eqn (1)

 

Each small packet was sold for Rs.150.
Therefore, 's' small packets would have fetched Rs.150s.

 

Each large packets was sold for Rs.250.
Therefore, 'b' large packets would have fetched Rs.250b.

 

Total value of sale = 150s + 250b = Rs. 10.5 Lakhs (Given)

 

Or 150s + 250b = 10,50,000 ... eqn (2)

 

Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3)

 

Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000
Or b = 3000

 

We know that s + b = 5000
So, s = 5000 - b = 5000 - 3000 = 2000.

 

2000 small packets were sold.

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Filed Under: Simplification
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