GATE Questions

Q:

A sold an article to B at 40% profit and B sold it to C at 50% profit, then what will be profit percent with respect to A ?

A) 97 % B) 110 %
C) 135 % D) 115 %
 
Answer & Explanation Answer: B) 110 %

Explanation:

% Profit with respect to A = 40 + 50 + (40 x 50)/100 = 90 + 20 = 110 %.

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Filed Under: Profit and Loss
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2 6605
Q:

The probability that a number selected at random from the first 100 natural numbers is a composite number is  ?

A) 3/2 B) 2/3
C) 1/2 D) 34/7
 
Answer & Explanation Answer: A) 3/2

Explanation:

The number of exhaustive events = 100 C₁ = 100.

We have 25 primes from 1 to 100.

Number of favourable cases are 75.

Required probability = 75/50 = 3/2.

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Filed Under: Probability
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13 6601
Q:

The ratio of K’s and M’s ages is 4: 5. If the difference between the present age of M and the age of K, 5 years hence is 3 years, then what is the difference and total of present ages of K and M?

A) 8, 72 yrs B) 16, 65 yrs
C) 12, 84 yrs D) 10, 60 yrs
 
Answer & Explanation Answer: A) 8, 72 yrs

Explanation:

Let the present ages be K,M

Given K/M = 4/5

5K - 4M = 0 ......(1)

Also given that,

M - (K + 5) = 3

M - K = 8 .........(2)


Then, by solving (1) & (2)

M = 40 yrs and K = 32 yrs

Hence, Total of ages = 40 + 32 = 72 yrs

Difference of ages = 40 - 32 = 8 yrs.

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Q:

'BE' is related to 'GJ' in the same way as 'PS' is related to ?

A) VX B) TU
C) UX D) TV
 
Answer & Explanation Answer: C) UX

Explanation:

Each corresponding letter moves five places forward in the alphabet.
Here as BE is related to GJ then PS will relate to UX.

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Filed Under: Alphabet Test
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11 6585
Q:

Water is a compound because it?

A) it contains two different elements joined by chemical bond B) it contains hydrogen & oxygen
C) it exists as solid, liquid or gas D) it cannot be split up into simpler substances by chemicals means
 
Answer & Explanation Answer: A) it contains two different elements joined by chemical bond

Explanation:

We know that All compounds are molecules, but not all molecules are compounds.

Water is a molecule because it is made from atoms that have been chemically combined. It is also a compound because the atoms that make water are not all the same - some are oxygen and some are hydrogen.

 

Hence, Water is a molecule and a compound.

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Filed Under: General Science
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7 6579
Q:

There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital?

A) 88 B) 96
C) 108 D) 121
 
Answer & Explanation Answer: A) 88

Explanation:

Given,
The ratio of the doctors to the nurses is 11 : 8
Number of nurses = 8/19 x 209 = 88.

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4 6576
Q:

23x12+49x15312+50 = ?

A) 0.5 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: B) 1

Explanation:

276+35961+50 = 10111011 = 1

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Filed Under: Simplification
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2 6565
Q:

Which ocean surrounds Antarctica?

A) Atlantic ocean B) Indian ocean
C) Pacific ocean D) Southen ocean
 
Answer & Explanation Answer: D) Southen ocean

Explanation:

Antarctica is surrounded on all sides by water. The Indian, Pacific and Atlantic Oceans surround it on all sides. These three Oceans all meet at Antarctica. The three oceans are collectively called the Southern Ocean.

This is the area located south of 50° latitude.

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Filed Under: World Geography
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