GATE Questions

Q:

In a class of 80 students and 5 teachers, each student got shopping coupons that are 15% of the total number of students and each teacher got shopping coupons, that are 25% of the total number of students. How many shopping coupons were there?

A) 960 B) 1000
C) 1060 D) 100
 
Answer & Explanation Answer: C) 1060

Explanation:

Given total number of students = 80

Total teachers = 5

Number of coupons each student got = 15 x 80/100 = 12

Number of coupons each teacher got = 25 x 80/100 = 20

 

Therefore, total number of shopping coupons = 80 x 12 + 5 x 20 = 960 + 100 = 1060.

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Filed Under: Percentage
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Q:

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?

A) 85 min B) 92 min
C) 187 min D) 144 min
 
Answer & Explanation Answer: D) 144 min

Explanation:

Let the slower pipe alone fill the tank in x min.

Then, faster pipe will fill it in x/3 min.

1/x + 3/x = 1/36 

4/x = 1/36 => x = 144 min.
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Q:

Malleability and Ductility of metals can be accounted due to

A) the crystalline structure in metal B) the interaction of electrons with metal ions in the lattice
C) the presence of electrostatic force D) the capacity of layers of metal ions to slide over the other
 
Answer & Explanation Answer: D) the capacity of layers of metal ions to slide over the other

Explanation:
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Filed Under: Physics
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Q:

The Hydraulic Break works on the principle of _____ ?

A) Pascal's Law B) Boyle's law
C) Coulomb's law D) Bernouli's law
 
Answer & Explanation Answer: A) Pascal's Law

Explanation:
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Q:

A text book of mathematics cost 2 Rs/- more than a text book of literature. If 5 literature books cost 38 Rs/- more than 3 mathematics books, what is the cost of each literature book?

A) 44 B) 22
C) 24 D) 11
 
Answer & Explanation Answer: B) 22

Explanation:

Let each literature text book cost be Rs. X

Then, cost of mathematics text book = Rs. (X + 2)

ATQ,

5X = 38 + 3(X + 2)

5X = 38 + 3X + 6

2X = 44

X = 22.

 

Therefore, cost of each literature text book = Rs. X = Rs. 22.

And that of masthematics = X + 2 = Rs. 24.

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Filed Under: Problems on Numbers
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Q:

Which best describes the meaning of the term theorem?

A) A conclusion proved by deductive reasoning B) A statement explaining the meaning of a geometric term
C) A conjecture based on inductive reasoning D) A statement that is accepted as true without proof
 
Answer & Explanation Answer: A) A conclusion proved by deductive reasoning

Explanation:
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Q:

What kind of mathematics do scientists use to analyze data?

A) Algebra B) Calculus
C) Geometry D) Statistics
 
Answer & Explanation Answer: D) Statistics

Explanation:

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

 

All scientists uses Statistics for analysing data.

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Q:

Electromagnetic waves are transverse in nature is evident by

A) Reflection B) Polarisation
C) interference D) Diffraction
 
Answer & Explanation Answer: B) Polarisation

Explanation:
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Filed Under: Physics
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