GATE Questions

Q:

If a person having Rs. 2000 and he want to distribute this to his five children in the manner that each son having Rs. 30 more than the younger one , what will be the share of youngest child ?

A) Rs. 175 B) Rs. 325
C) Rs. 340 D) Rs. 260
 
Answer & Explanation Answer: C) Rs. 340

Explanation:

Assume first child (the youngest) get = Rs. x

According to the question ;
each son having Rs. 30 more than the younger one

Second child will get = Rs. x + 30
Third child will get = Rs. x + 30 + 30 = x + 60
Forth child will get = Rs. x + 30 + 30 + 30 = x + 90
Fifth child will get = Rs. x + 30 + 30 + 30 + 30 = x + 120

Total amount they got = Rs. 2000

x + (x+30) + (x+60) + (x+90) + (x+120) = 2000
5x + 300 = 2000
5x = 1700
x = Rs. 340
So the youngest child will get Rs. 340.

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Filed Under: Chain Rule
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22 6073
Q:

B3D means B is the father of D.
B7D means B is the sister of D.
B2D means B is the brother of D.
B1D means B is the wife of D.

Which of the following means F is the mother of K?

A) F3M1K B) F9M4N3K
C) K3M4N5F D) F1M3K
 
Answer & Explanation Answer: D) F1M3K

Explanation:

From the given information,

F1M → F is the wife of M
M3K → M is the father of K
Therefore, F is the mother of K.

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Filed Under: Blood Relations
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3 6072
Q:

The sum of the digits of a two-digits number is 10,while when the digits are reversed, the number decreases by 54. Find the changed number ?

A) 28 B) 19
C) 37 D) 46
 
Answer & Explanation Answer: A) 28

Explanation:

Let the original number is 82 i.e 8 + 2 = 10 and when the digits are reversed i.e 28
The difference is 82 - 28 = 54 i.e, the number is decreased by 54.

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Filed Under: Numbers
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7 6070
Q:

P can do a piece of work in 5 less days than Q. If both of them can do the same work in 1119days, in how many days will Q alone do the same work  ?

A) 24 days B) 25 days
C) 20 days D) 19 days
 
Answer & Explanation Answer: B) 25 days

Explanation:

Let Q complete that work in 'L' days

 

=> 1L + 1L-5 = 9100

 

=> 9L2-245L+500=0

 

L = 25 days.

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Filed Under: Time and Work
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11 6045
Q:

What is formed by all the ecosystems of the earth?

A) Biosphere B) Troposphere
C) Stratosphere D) Ionosphere
 
Answer & Explanation Answer: A) Biosphere

Explanation:

A biosphere is the sum of all the ecosystems established on planet Earth.

An ecosystem is an area in which the plants and animals all interact to create a living environment. Therefore ecosystem is a smaller unit of earth, all ecosystems together form the earth.

 

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Filed Under: General Awareness
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1 6043
Q:

A DVD is an example of

A) Optical Disc B) Hard Disc
C) Output Device D) Solid state storage device
 
Answer & Explanation Answer: A) Optical Disc

Explanation:

A DVD is an example of Optical Disc.

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Q:

I will disappear every time you say my name. What am I?

A) Thief B) Silence
C) Shadow D) None
 
Answer & Explanation Answer: B) Silence

Explanation:
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Filed Under: Word Puzzles
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12 6033
Q:

The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is:

A) 32 B) 40
C) 16 D) 30
 
Answer & Explanation Answer: A) 32

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P. 

S.P. of P articles = Rs. 40.

 

Profit = Rs. (40 - P)

 

Now, Gain% = ProfitC.P×100 = 40-PP×100 

 

Here 40-PP×100= 25

-->P = 32.

 

 

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Filed Under: Profit and Loss
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6 6033