GATE Questions

Q:

Which of the following is not a pure substance?

A) Oxygen B) Carbon dioxide
C) Water D) Milk
 
Answer & Explanation Answer: D) Milk

Explanation:

Milk is not a pure substance since it has so many constituents that can be separated physically.

Compounds are pure substances formed from elements unlike mixtures.

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Q:

What travels around the world and stays in one spot?

A) Slippers B) Walking stick
C) Stamps D) None of the above
 
Answer & Explanation Answer: C) Stamps

Explanation:

Stamps are what travel around the worldstaying in one spot. Slippers and walking stick can also travel around the world but they will not stay at one spot. So they are eliminated.

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Q:

Which tennis player has won the Grand Slam title in men's singles 2019?

A) Rafael Nadal B) Roger Federer
C) Novak DJokovic D) Daniil Medvedev
 
Answer & Explanation Answer: A) Rafael Nadal

Explanation:

Rafael Nadal defeated Daniil Medvedev in the men's singles title at the 2019 US Open. It was Nadal's 19th Grand Slam singles title, and fourth US Open title.

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Q:

X2+X2 =

A) 4X B) 2X
C) 2X^2 D) X/2
 
Answer & Explanation Answer: C) 2X^2

Explanation:

Here the given expression, 

X2 + X is an algebraic expression. Here in this expression the terms are like terms. Now to add them, add their coefficients.

Here in the given expression, the like terms are two X

Hence, adding their coefficients i.e, 1 + 1 = 2

Therefore, 

 

X2 + X2 = 2X2.

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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:

In a compound, chemical energy is contained in the

A) bonds B) movement of the electrons
C) unbonded electrons D) nuclei of the atoms
 
Answer & Explanation Answer: A) bonds

Explanation:

chemical energy is contained in the chemical bonds between the reactants in the chemical compounds.

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Q:

Which phase change is an example of an exothermic process?

A) Liquid to Solid B) Gas to Solid
C) Gas to Liquid D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

Processes that require or give off heat will be limited to changes of state, known as phase changes, and changes in chemical constitution, or chemical reactions. Changes of state involve a solid melting, a liquid freezing, a liquid boiling or a gas condensing.

 

An exothermic process is one that gives off heat, which is transferred to the surroundings. An endothermic process is a reaction which heat has to be supplied to the system from the surroundings.

 

Here in all the given options, heat is taken away from them to change there phase. 

Liquid to Solid --- Freezing

Gas to Liquid --- Condensation

Gas to Solid --- Deposition 

are all examples of exothermic processes.

 

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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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