GATE Questions

Q:

Two boys and a girl can do a work in 5 days, while a boy and 2 girls can do it in 6 days. If the boy is paid at the rate of 28$ a week, what should be the wages of the girl a week ?

A) 24 $ B) 22 $
C) 16 $ D) 14 $
 
Answer & Explanation Answer: C) 16 $

Explanation:

Let the 1 day work of a boy=b and a girl=g, then
2b + g = 1/5 ---(i) and
b + 2g = 1/6 ---(ii)
On solving (i) & (ii), b=7/90, g=2/45
As payment of work will be in proportion to capacity of work and a boy is paid $ 28/week,
so a girl will be paid 28×245790 = 16 $.

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Filed Under: Time and Work
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5 9409
Q:

If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

A) 18 : 24 : 11 B) 9 : 15 : 1
C) 20 : 15 : 9 D) 21 : 7 : 3
 
Answer & Explanation Answer: C) 20 : 15 : 9

Explanation:

Given k : l = 4 : 3
l : m = 5 : 3

Then k : l : m = 20 : 15 : 9

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Filed Under: Ratios and Proportions
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12 9384
Q:

The average weight of 45 passengers in a bus is 52 kg. 5 of them whose average weight is 48 kg leave the bus and other 5 passengers whose average weight is 54 kg join the bus at the same stop. What is the new average weight of the bus?   

A) 54.21 kgs B) 51.07 kgs
C) 52.66 kgs D) 53.45 kgs
 
Answer & Explanation Answer: C) 52.66 kgs

Explanation:

Given total number of passengers in the bus = 45

First average weight of 45 passengers = 52 kgs

Average weight of 5 passengers who leave bus = 48

Average weight of passengers who joined the bus = 54

Therefore, the net average weight of the bus is given by

= 45 x 52 - 5 x 48 + 5 x 5445 = 237045= 1583= 52.66 kgs.

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Filed Under: Average
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31 9374
Q:

The absorption of ink by blotting paper involves

A) viscosity of ink B) diffusion of ink through the blotting
C) capillary action phenomenon D) siphon action
 
Answer & Explanation Answer: C) capillary action phenomenon

Explanation:

The absorption of ink by blotting paper involves capillary action phenomenon because the blotting paper is a thin and a smooth paper which allows a little thicker liquids like ink to absorb.

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Filed Under: Physics
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11 9372
Q:

Play is to actor as concert is to

A) Musician B) percussion
C) symphony D) piano
 
Answer & Explanation Answer: A) Musician

Explanation:

An actor performs in a play. A musician performs at a concert.

Choices b, c, and d are incorrect because none is people who perform.

 

Hence, Play is to actor as concert is to Musician.

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Filed Under: Analogy
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7 9337
Q:

Try the logical puzzle?

logical_puzzle1538026382.jpg image

A) 24 B) 25
C) 13 D) 12
 
Answer & Explanation Answer: C) 13

Explanation:

The man has 12 sons and the 12 sons has each one sister.

=> 12 sons + 1 sister = 13 children.

 

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Filed Under: Logic Puzzles
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48 9324
Q:

First Bank to introduce Credit Card in India

A) HSBC Bank B) ICICI Bank
C) State Bank of India D) Central Bank of India
 
Answer & Explanation Answer: D) Central Bank of India

Explanation:

 

        • First Bank to introduce Credit Card in India - Central Bank of India
        • First Bank to introduce ATM  -  HSBC, 1987
        • First Bank to introduce Internet Banking - ICICI Bank

 

 

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21 9315
Q:

5x - 6 = 3x - 8

Solve the above equation.

A) 2 B) -1
C) -2 D) 1
 
Answer & Explanation Answer: B) -1

Explanation:

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

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Filed Under: Mathematical Operations
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23 9295