Common Admission Test (CAT) Questions and Answers with Explanation

Q:

The Value of $[\log (\tan (1^{0})) + \log (\tan (2^{0})) + \dots \dots + \log (\tan (89^{0}))]$ is

A) -1	B) 0
C) 1/2	D) 1

Answer & Explanation Answer: B) 0

Explanation:

$= [\log \tan (1^{0}) + \log \tan (89^{0})] + [\log \tan (2^{0}) + \log \tan (88^{0})] + \dots \dots + [\log \tan (45^{0})]$

$= \log [\tan (1^{0}) \times \tan (89^{0})] + \log [\tan (2^{0}) \times \tan (88^{0})] + \dots \dots + \log (1)$

$[∵ \tan (90 - θ) = c o t θ a n d \tan (45^{0}) = 1]$

= log 1 + log 1 +.....+log 1

= 0.

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Q:

Mastic : Gum : : Suet : ?

A) Fur	B) Hide
C) Fat	D) Milk

Answer & Explanation Answer: C) Fat

Explanation:

Mastic is a gum obtained from plants and suet is a fat obtained from animals.

Hence, Mastic : Gum :: Suet : Fat.

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Q:

ALU stands for in computer?

A) Automatic Logic Unit	B) Android Logic Unit
C) Arithmetic Logic Unit	D) None of the above

Answer & Explanation Answer: C) Arithmetic Logic Unit

Explanation:

alu_in_computer_is1551963521.jpg image

ALU in computer stands for Arithmetic Logic Unit.

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Q:

A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of half of the cloth he has ?

A) 300	B) 150
C) 175	D) 200

Answer & Explanation Answer: B) 150

Explanation:

Half of the cloth = 37.5/2
From 1 meter he will make 8 pieces
=> in 37.5/2 ---- ?

37.5/2 x 8

= 150.

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Q:

In which atmospheric layer are the communication satellites located?

A) Thermosphere	B) Troposphere
C) Mesosphere	D) Stratosphere

Answer & Explanation Answer: A) Thermosphere

Explanation:

In terms of the Earth's atmosphere, they occupy regions called the thermosphere and the exosphere. The layer through which a satellite orbits depends on the satellite's function and the kind of orbit it has.

The thermosphere is a region of very high temperature that extends from the top of the mesosphere at around 85 kilometers (53 miles) up to 640 kilometers (400 miles) above the Earth's surface. It is called the thermosphere because temperatures can reach up to 1,500 degrees Celsius (2,732 degrees Fahrenheit).

However, despite the high temperatures, the pressure is very low, so satellites don't suffer heat damage.

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Q:

Sriram was conducting an experiment in which the average of 11 observations came to be 92, while the average of first five observations was 89, and that of the last five was 86. What was the measure of the 6th observation ?

A) 134	B) 137
C) 139	D) 141

Answer & Explanation Answer: B) 137

Explanation:

This can be done as,

(11 × 92) - (5 × 89) - (5 × 86)

= 1012- 445 - 430 = 137

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Q:

A shop keeper sells an article at a loss of 8%, but when he increases the selling price of the article by Rs. 164 he earns a profit of 2.25% on the cost price. If he sells the same article at Rs. 1760, what is his profit percentage?

A) 2.5%	B) 5%
C) 10%	D) 7.5%

Answer & Explanation Answer: C) 10%

Explanation:

According to the given data,

Let Cost price of the article be 'cp'

Then,

102.25 cp - 92 cp = 164 x 100

10.25 cp = 16400

cp = 1600

Now, if he sells at Rs. 1760

Profit = 1760 - 1600 = 160

Profit% = 160/1600 x 100 = 10%.

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Filed Under: Profit and Loss
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Q:

The Gandhi Sagar Dam is built on which river in Madhya Pradesh?

A) Tapti	B) Chambal
C) Narmada	D) None

Answer & Explanation Answer: B) Chambal

Explanation:

The Gandhi Sagar Dam is built on Chambal river and is located in the Mandsaur & Neemuch district of Madhya Pradesh.

The dam’s reservoir area is the second-largest in India (after the Hirakud Reservoir), and attracts a large number of migratory and non-migratory birds throughout the year.

It is a masonry gravity dam, standing 62.17 metres (204.0 ft) high.

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Filed Under: Indian Geography
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