GATE Questions

Q:

If the following five names which name will come  in the last in a telephone directory ?

a) Mahinder  b) Mahender  c) Mahindra  d) Mahendra  e) Mohinder

A) Mahinder B) Mahindra
C) Mohinder D) Mahender
 
Answer & Explanation Answer: C) Mohinder

Explanation:

The given names will be arranged in the alphabetical order as : Mahender, Mahendra, Mahinder, Mahindra, Mohinder. Clearly, 'Mohinder' comes last.

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Q:

"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ?

A) Father = 50; Son =14 B) Father = 40; Son =24
C) Father = 60; Son =4 D) Father = 48; Son =16
 
Answer & Explanation Answer: B) Father = 40; Son =24

Explanation:

Let the present age of the man be 'P' and son be 'Q',
Given, P + Q = 64 or Q = (64 - P)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, P = 5[B - (P - Q)]
We get 6P = 10Q,
Substitute value for Q,
6P = 10(64 - P),
Therefore P = 40, Q = 24.

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Q:

The third proportional to 9 and 12 is ?

A) 14 B) 16
C) 18 D) 20
 
Answer & Explanation Answer: B) 16

Explanation:

Let the third proportion to 9 & 12 be 'x'.

=> 9:12 = 12 :p

=> p = 12x12/9 = 16.

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Q:

5% people of a village in India died by dengue, 15% of the remainder left the village on account of fear. If now the population is reduced to 3553, how much was it in the beginning ?

A) 4400 B) 3100
C) 2800 D) 5600
 
Answer & Explanation Answer: A) 4400

Explanation:

Let 'P' be the original population at the beginning

P x (95/100) x (85/100) = 3553

P = 4400.

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Q:

If selling price is doubled, the profit triples. Find the profit percent ?

A) 100% B) 200%
C) 300% D) 400%
 
Answer & Explanation Answer: A) 100%

Explanation:

Let the C.P be Rs.100 and S.P be Rs.x, Then
The profit is (x-100)
Now the S.P is doubled, then the new S.P is 2x
New profit is (2x-100)
Now as per the given condition;
=> 3(x-100) = 2x-100
By solving, we get
x = 200
Then the Profit percent = (200-100)/100 = 100
Hence the profit percentage is 100%

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