GATE Questions

Q:

Which of the following is not a video file extension?

A) .flv B) .mov
C) .mp3 D) None of the above
 
Answer & Explanation Answer: C) .mp3

Explanation:

.mp3 is audio file extension.

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6 2720
Q:

Two equal arcs of two circles subtend angle of  60° and 75° at the centre. The ratio of the radii of the two circles is

A) 5/4 B) 3/2
C) 4/5 D) 2/3
 
Answer & Explanation Answer: A) 5/4

Explanation:
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0 2717
Q:

If x+1x=5, then the value of 6xx2+x+1 is,

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:
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8 2715
Q:

Which is the most malleable metal?

A) Gold B) Silver
C) Both A & B D) Bronze
 
Answer & Explanation Answer: A) Gold

Explanation:

The most malleable metal is Gold.

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1 2713
Q:

Dantiwada Dam is located in?

A) Gujarat B) Sikkim
C) Andhra Pradesh D) Telangana
 
Answer & Explanation Answer: A) Gujarat

Explanation:

Dantiwada Dam is located in Gujarat.

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3 2710
Q:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find two numbers.

A) 10 & 12 B) 10 & 18
C) 12 & -18 D) -12 & 18
 
Answer & Explanation Answer: D) -12 & 18

Explanation:

Given, difference of the squares of two numbers is 180.

k2 - l2 - 180

 

Also, square of the smaller number is 8 times the larger.

= l= 8k

 

Thus, k2 - 8a - 180 = 0

k2 – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

 

Thus, the other number is

324 - 180 = l2 

 

→ Numbers are 12, 18 or -12, 18.

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Filed Under: Numbers
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0 2709
Q:

Who is the first richest person in India?

A) Mukesh Ambani B) Azim Premji
C) Dilip Shangvi D) Lakshmi Mittal
 
Answer & Explanation Answer: A) Mukesh Ambani

Explanation:

According to 2018 January reports, Mukesh Ambani is the first richest person in India being 18th in the world, followed by Azim Premji and S.P. Hinduja in second and third places.

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1 2709
Q:

If the age of father is 4 years greater than the mother and 28 years greater than the son,then what is the age of the father?

which one should be used to calculate the age ?

A) mother/son = Non-prime number
B) mother/son = Perfect square number

A) only A alone is sufficient B) only B alone is sufficient
C) both A and B are required D) Cannot be answered
 
Answer & Explanation Answer: B) only B alone is sufficient

Explanation:

For the given problem there are three possiblities.
Father's age can be = 36, 31, 29
Mother's age = 32, 27, 25
Son's age = 8, 3, 1.

By using only B it can be calculated.

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Filed Under: Statement and Conclusions
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