GATE Questions

Q:

What City has No People?

A) Velocity B) Electricity
C) Elasticity D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

Answer for What City has No People can be any of these words which has city in it like Velocity, Elasticity or Electricity.

In general the answer for the riddle What City has No People is Electricity.

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50 17301
Q:

is related to 81 in the same way as 64 is related to ____

A) 225 B) 425
C) 525 D) 625
 
Answer & Explanation Answer: D) 625

Explanation:

The relationship is xy  :  x+1y+1

 

Now , 64 = 43

 

So, required number = 4+13+1 = 54 = 625

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Filed Under: Analogy
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129 17298
Q:

Optical fiber works on the principle of

A) Scattering B) interference
C) total internal reflection D) refraction
 
Answer & Explanation Answer: C) total internal reflection

Explanation:

Optical_fiber_works_on_the_principle_of1556277954.jpg image

 

Optical fiber works on the principle of total internal reflection.

 


The Total Internal Reflection is the phenomenon in which the complete reflection of a light ray reaching an interface with a less dense medium when the angle of incidence exceeds the critical angle.

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Filed Under: Physics
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40 17233
Q:

The ratio of speeds of a car, a train and a bus is 5:9:4. The average speed of the car, the bus and the train is 72 km/hr together. What is the average speed of the car and the train together ?

A) 84 km/hr B) 96 km/hr
C) 72 km/hr D) 60 km/hr
 
Answer & Explanation Answer: A) 84 km/hr

Explanation:

Let the speeds of the car, train and bus be 5x, 9x and 4x km/hr respectively.
Average speed = 5x + 9x + 4x/3 = 18x /3 = 6x km/hr.
Also, 6x = 72 => x = 12 km/hr
Therefore, the average speed of the car and train together is = 5x+9x2= 7x = 7 x 12 = 84 km/hr.

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Filed Under: Average
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20 17182
Q:

A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?

A) 31 min B) 29 min
C) 28 min D) 30 min
 
Answer & Explanation Answer: D) 30 min

Explanation:

Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24
Suppose the tank is filled in x minutes.
Then, x/2(1/24 + 1/40) = 1
(x/2) * (1/15) = 1 => x = 30 min.

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Filed Under: Pipes and Cistern
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23 17157
Q:

Direction: What should come in the place of question mark (?) in the following number series?

2, 3, 6, 15, 45, ?

A) 90 B) 135
C) 157.5 D) 200
 
Answer & Explanation Answer: C) 157.5

Explanation:

The pattern followed is *1.5 , * 2 , *2.5 , *3 , *3.5

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Filed Under: Numbers
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0 17125
Q:

Rs.1500 is divided into two parts such that if one part is invested at 6% and the other at 5% the whole annual interest from both the sum is Rs.85. How much was lent at 5% ?

A) Rs. 500 B) Rs. 245
C) Rs. 1250 D) Rs. 635
 
Answer & Explanation Answer: A) Rs. 500

Explanation:

(kx5x1)/100 + [(1500 - k)x6x1]/100 = 85

5k/100 + 90 – 6k/100 = 85

k/100 = 5

=> k = 500

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Filed Under: Simple Interest
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12 17124
Q:

Find the Missing Numbers in the given Number Puzzle ?

20840690_1392703260836774_1644662038967277559_n1504170508.jpg image

A) 169 & 81 B) 67 & 121
C) 64 & 115 D) 70 & 110
 
Answer & Explanation Answer: A) 169 & 81

Explanation:

Observe that in each column, square of sum of digits in the first row = Respective second row elements.

 

In the same way, square of sum of digits in the second row = Respective third row elements.

 

=> 6+42=102=100

 

=> 4+92=132=169

 

=> 8+12=92=81.

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Filed Under: Number Puzzles
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93 17050