GATE Questions and Answers with Explanation

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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6 5411

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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8 5405

Q:

Find the errors in the below given A, B, C & D sentences.

$\frac{F o r m e r p r i m e m i n i s t e r r u l e d h i m s e l f o u t}{(A)} / \frac{a s a n a l t e r n a t i v e r i g h t w i n g c a n d i d a t e f o r h i s p a r t y c o l l e a g u e}{(B)} /$

$\frac{w h o s e c a m p a i g n h a s b e e n t h r o w n i n t o c h a o s}{(C)} / \frac{b y a f a k e j o b s s c a n d a l}{(D)}$

A) A & C	B) B & D
C) A & D	D) C & B

Answer & Explanation Answer: C) A & D

Explanation:

A) As prime minister is an honorable person it must start with an Article 'The'.

D) a fake jobs => a indicates it is singular, so job will come.

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Filed Under: Verification of Truth of the statement
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13 5401

Q:

The ratio of present ages of Hema and Chinnu is 13:17. Four years ago the ratio of their ages was 11:15. What will be the ratio of their ages six years hence ?

A) 3 : 7	B) 7 : 9
C) 4 : 5	D) 1 : 3

Answer & Explanation Answer: C) 4 : 5

Explanation:

Let their present ages be 13x and 17x.
Then, 13x-4/17x-4 = 11/15.
Solving this, we get x = 2.
Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.

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Filed Under: Problems on Ages
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9 5396

Q:

Wild animals are not considered a natural resource.

A) TRUE

B) FALSE

Answer & Explanation Answer: B) FALSE

Explanation:

Natural resources are resources taken from nature to satisfy our needs. As wild animals are on the earth naturally, they are considered as natural resources.

Hence, the given statement is false.

Workspace

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Subject: General Science
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3 5394

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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27 5387

Q:

"Kalinga Prize" associated with which of the following fields ?

A) Sports	B) Journalism
C) Science	D) Literature

Answer & Explanation Answer: C) Science

Explanation:

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14 5367

Q:

In a class 60% of the students pass in English and 45% pass in Hindi. If 25% of them pass in both subjects, what percentage of the students fail in both the subjects?

A) 20%	B) 25%
C) 30%	D) 15%

Answer & Explanation Answer: A) 20%

Explanation:

Percentage of students passed in English = 60%

Percentage of students passed in Hindi = 45%

Percentage of students passed in both subjects = 25%

ATQ,

Percentage of students passed in only English = 60 - 25 = 35%

Percentage of students passed in only Hindi = 45 - 25 = 20%

Therefore, Percentage of students failed = 100 - (35 + 25 + 20)

= 100 - 80 = 20%.

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Filed Under: Percentage
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6 5366

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