GATE Questions

Q:

On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students?

A) 380 B) 420
C) 441 D) 400
 
Answer & Explanation Answer: B) 420

Explanation:

Given total number of students in the class = 21

 

So each student will have 20 greeting cards to be send or receive (21 - 1(himself))

 

Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

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Q:

In an exhibition, Almond bought a painting for Rs. 20000. He later sold it to Olive for Rs. 23000. Olive sold it to Sarah for double the profit percentage that Almond earned. At what price should Sarah sell this painting to earn 8% profit ?

A) Rs. 34,410 B) Rs. 31,184
C) Rs. 29,999 D) Rs. 32,292
 
Answer & Explanation Answer: D) Rs. 32,292

Explanation:

Almond Selling price = CP(1 + P%/100)

=> CP = 20000, SP = 23000

=> 23000 = 20000 (1 + P/100)

=> P% = 100(23000/20000 - 1) = 15

Then, Olive's P% = 30%

SP for Olive = CP for Sarah = 23000(1 + 30/100) = 29900

Now Sarah wants to earn profit of 8%

=> Sp for Sarah = 29900(1 + 8/100)

= Rs. 32,292.

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Filed Under: Profit and Loss
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11 3987
Q:

If watches bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425. What is the greatest possible profit that might be made in selling nine watches ?

A) Rs. 1800 B) Rs. 2000
C) Rs. 2025 D) Rs. 1750
 
Answer & Explanation Answer: C) Rs. 2025

Explanation:

Profit would be maximum if watches are brought for Rs. 200 and sold for Rs. 425
Profit = Rs. (425 - 200) = Rs. 225
Profit of 9 watches = Rs. 225 x 9 = Rs.2,025.

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5 3974
Q:

Speed of sound is maximum in which among the following?

A) Gases B) Vaccum
C) Liquids D) Solids
 
Answer & Explanation Answer: D) Solids

Explanation:

We know that, in solids all the particles are packed together and hence sound can travel from one to one very fast.

 

Hence, speed of sound is maximum in solids and decreses from solids to liquids and liquids to gases. Sound can't travel through vaccum.

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Filed Under: Physics
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2 3973
Q:

Which of the following is true of a scientific theory?

A) It is only accepted after the person who came up with it has died. B) It is a method or device that applies scientific knowledge for some specific purpose.
C) It generates testable hypotheses, is supported by a large body of evidence, and is broad in scope. D) It must demonstrate the effect of one variable by testing control groups and experimental groups.
 
Answer & Explanation Answer: C) It generates testable hypotheses, is supported by a large body of evidence, and is broad in scope.

Explanation:

A scientific theory is a well-substantiated explanation of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment. Such fact-supported theories are not "guesses" but reliable accounts of the real world. Scientific theories are not ever proved in the sense of being proved to be 100% correct.

 

Examples of some scientific theories are ::

Evolution, gravity, atomic theory, the germ theory of disease, relativity, quantum theory, electromagnetic theory, layered Earth theory, etc...

 

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Filed Under: General Science
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0 3972
Q:

Which sample is a pure substance?

A) Table salt B) Pure water
C) a test tube of zinc oxide D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

A pure substance can be defined as any single type of material that has not been contaminated by another substance. In chemistry, a pure substance has a definite composition. It can be a compound or an element. A pure substance is considered to be a material that consists of one type of "building block" of matter.

Examples of pure substances include tin, sulfur, diamond, water, pure sugar (sucrose), table salt (sodium chloride) and baking soda (sodium bicarbonate).

Tin, sulfur, and diamond are examples of pure substances which are chemical elements. All elements are pure substances.

Water, sugar, salt and baking soda are pure substances which are chemical compounds. Chemical compounds also are pure substances

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Filed Under: Chemistry
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2 3970
Q:

The average score of boys in an examination in a school is 81 and that of the girls is 83 and the average score of the school is 81.8. Then what will be ratio between the number of girls to the number of boys, in the examination?

A) 3:2 B) 2:3
C) 4:3 D) 3:4
 
Answer & Explanation Answer: B) 2:3

Explanation:

Let the number of boys = b

Let the number of girls = g

From the given data,

 

81b + 83g = 81.8(b + g)

81.8b - 81b = 83g - 81.8g

0.8b = 1.2g

b/g = 1.2/0.8 = 12/8 = 3/2

=> g : b = 2 : 3

 

Hence, ratio between the number of girls to the number of boys = 2 : 3.

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Filed Under: Average
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24 3969
Q:

A Roman walks into a bar. He holds up two fingers and says 'five beers, please'.

How it is possible?

Answer

The shape of two fingers shown up will be in 'V' and it represents in Roman letters, a number 5.


he shape of two fingers shown up will be in V.jpg image

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