Common Admission Test (CAT) Questions and Answers with Explanation

Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm	B) 115.395 sq cm
C) 104.214 sq cm	D) 111.241 sq cm

Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is $4 (\frac{3}{4} \times \frac{22}{7} \times 3.5 \times 3.5)$ = 115.3955 sq cm.

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Q:

The difference between a virus and a self-replicating program which is like a virus is that rather than creating copies of itself on only one system it propagate through computer network. What is that called as _____

A) Keylogger	B) Worm
C) Time Bomb	D) Cracker

Answer & Explanation Answer: B) Worm

Explanation:

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Q:

Which device is called silico sapiens?

A) Computer	B) Robot
C) Moniter	D) Hardware

Answer & Explanation Answer: B) Robot

Explanation:

Silico Sapiens generally refers to robots.

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Q:

Which alphabet is a vegetable?

A) C	B) T
C) P	D) B

Answer & Explanation Answer: C) P

Explanation:

The letter 'P' sounds same as the vegetable 'PEA'.

Hence P is an alphabet which is a vegetable.

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Q:

Express 6.72 % in ratio ?

A) 65 : 124	B) 42 : 625
C) 21 : 125	D) 37 : 442

Answer & Explanation Answer: B) 42 : 625

Explanation:

6.72/100 = 672/10000 = 42/625

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Q:

Math Challenge

find the number maths puzzle

A) 7	B) 44
C) 4	D) 33

Answer & Explanation Answer: C) 4

Explanation:

Let the required number be 'N'

given that its quarter i.e; N/4 exceeds its double i.e, 2N by 7

=> N/4 + 7 = 2N

=> N + 28 = 8N

7N = 28

N = 4.

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Q:

Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture ?

A) 75 lit	B) 80 lit
C) 85 lit	D) 90 lit

Answer & Explanation Answer: B) 80 lit

Explanation:

From the given data,

let the initial quantity of the mixture = 5x

Then,

$\frac{2 x - 16}{3 x - 24 + 40} = \frac{1}{4} 8 x - 64 = 3 x + 16 5 x = 80 x = 16 lit$

Then the initial quantity of the mixture = 5x = 5 x 16 = 80 lit.

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Filed Under: Alligation or Mixture
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Q:

Which of the following metals forms an amalgam with other metals ?

A) Mercury	B) Zinc
C) Tin	D) Lead

Answer & Explanation Answer: A) Mercury

Explanation:

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