GATE Questions and Answers with Explanation

Q:

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

A) 29.87%	B) 33.33%
C) 22.22%	D) 19.5%

Answer & Explanation Answer: B) 33.33%

Explanation:

% Decrease in Width = $\frac{50}{150} x 100$

= 33.33%

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Filed Under: Percentage
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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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Filed Under: Logarithms
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Q:

The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube ?

A) 15 m	B) 4 m
C) 6 m	D) 9 m

Answer & Explanation Answer: C) 6 m

Explanation:

The edge of the new cube is = $3^{3} + 4^{3} + 5^{3} = a^{3}$ => a = 6 m.

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Filed Under: Area
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Q:

What is the main component of bones and teeth?

A) Calcium Phosphate	B) Calcium Carbonate
C) Calcium Nitrate	D) Calcium Sulphate

Answer & Explanation Answer: A) Calcium Phosphate

Explanation:

The main component of bones and teeth is Calcium Phosphate.

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Filed Under: General Science
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Q:

Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

A) 58	B) 60
C) 55	D) 45

Answer & Explanation Answer: B) 60

Explanation:

-5-----------------------5-------------------20

5-(-5) = 10

20-5= 15

Ratio of cost price of book1 and book2 = 3:2

Then cost price of book 1 is given by

(3/5) x 100 = Rs. 60.

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Filed Under: Profit and Loss
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Q:

A clock is started at 11 a.m. By 600 seconds past 6 p.m, the hour hand has turned through ?

A) 155 degrees	B) 175 degrees
C) 205 degrees	D) 215 degrees

Answer & Explanation Answer: D) 215 degrees

Explanation:

The total angle traced by the hour hand is the angle traced in 7 hours and 10 minutes.
We know that the angle traced by the hour hand in one hour is 30º and in one minute is 1/2º.
Therefore, (30º x 7) + (10 x 1/2º) = 215º is the angle traced by the hour hand.

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Filed Under: Clock puzzles
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Q:

Heat transfer horizontally within the atmosphere is called

A) Convection	B) Advection
C) Conduction	D) Absorption

Answer & Explanation Answer: B) Advection

Explanation:

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Filed Under: General Science
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Q:

Stee : Rails :: Alnico : ?

A) Magnets	B) Aircraft
C) Machinery	D) Silver ware

Answer & Explanation Answer: A) Magnets

Explanation:

First is used to makes the second.

Hence, Stee : Rails :: Alnico : Magnets.

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Filed Under: Analogy
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