GATE Questions and Answers with Explanation

Q:

In a triangle ABC, angle 'a' is the smallest one & A+7B = 112. Find the range of value 'c' ?

A) 138 to 164	B) 125 to 147
C) 148 to 158	D) 152 to 164

Answer & Explanation Answer: D) 152 to 164

Explanation:

A+7B=112

it is clear that A = 14, then it becomes A>=B, but A is smallest angle) given
so, range of A is 0.0001 to 13.9999 ( I am taking upto 4 decimal places)
so, range of B becomes 14 to 16 ( after rounding off to 4 decimal places)
so, range of C becomes 152 to 164 ( after rounding off to 4 decimal places)

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Filed Under: Numbers
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8 6226

Q:

A girl want to read a complete book. She read 2/5 part of a book on 1st day, 34% on second day and remaining pages in next two days. On those two days she read equal number of pages. If she read 52 pages on last day, then find out total number of pages that the book contain ?

A) 400	B) 525
C) 325	D) 475

Answer & Explanation Answer: A) 400

Explanation:

Let the total number of pages in the book be 'x'.

From given data,

2x/5 + 34x/100 + 52 + 52 = x

=> 40x + 34x + 10400 = 100x

=> 26x = 10400

=> x = 400.

Hence, total pages in the book are 400.

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Filed Under: Percentage
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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7 6225

Q:

Find the one which does not belong to that group ?

A) Architect	B) Blacksmith
C) Sculpture	D) Tailor

Answer & Explanation Answer: A) Architect

Explanation:

All except Architect are manufactures.

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Filed Under: Analogy
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5 6221

Q:

The PS command prints the process status for only some of the running processes.

A) TRUE

B) FALSE

Answer & Explanation Answer: B) FALSE

Explanation:

The PS command prints the process status for some or all of the running processes

Workspace

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Subject: Operating Systems
Exam Prep: GATE

1 6219

Q:

Artist is to painting as senator is to

A) politician	B) constituents
C) attorney	D) law

Answer & Explanation Answer: D) law

Explanation:

As we know that an artist makes paintings, similarly, a senator makes laws.

Hence, Artist : Painting :: Senator : Law.

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Filed Under: Analogy
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5 6218

Q:

A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?

A) 2%	B) 4%
C) 3%	D) 2.5%

Answer & Explanation Answer: B) 4%

Explanation:

SP of first article = 1000

Profit = 20%

CP = $\frac{100}{100 + P} \times S P$ = 5000/6 = 2500/3

SP of second article = 1000

Loss = 20%

CP = $\frac{100}{100 - L} \times S P$ = 5000/4 = 1250

Total SP = 2000

Total CP = $\frac{2500}{3}$ + 1250 = 6250/3

CP is more than SP, he makes a loss.

Loss = CP-SP = (6250/3)- 2000 = 250/3

Loss Percent = $\frac{\frac{250}{3}}{\frac{6250}{3}} \times 100$ = 4%

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Filed Under: Profit and Loss
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5 6209

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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6 6209

Q:

What word begins and ends with an E but only has one letter?

A) Eye	B) Envelope
C) Both A & B	D) None of the above

Answer & Explanation Answer: B) Envelope

Explanation:

Envelope is a letter holder for one letter and in the question it mean that it holds one letter. Eye is also a word which starts and end with E but has one letter in the middle.

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Filed Under: Word Puzzles
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3 6204

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