GATE Questions and Answers with Explanation

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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Filed Under: Word Puzzles
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50 17282

Q:

Mr. A, Miss B, Mr. C and Miss D are sitting around a table and discussing their trades.

1. Mr. A sits opposite to cook
2. Miss b sits right to the barber.
3. The washer man is on the left of the tailor
4. Miss D sits opposite Mr. C

What are the trades of A and B ?

A) Tailor and Barber	B) Tailor and cook
C) Barber and cook	D) washer man and cook

Answer & Explanation Answer: B) Tailor and cook

Explanation:

Clealry, C and D sit opposite to each other. So, if A sits opposite to cook, B shall be the cook.
Now, B is to the right of barber. So, one of the rest, say C will be barber.
Clealry, then D on the opposite side shall be washerman or tailor. But, washerman is left of tailor and D on the left of A.
So, D is washerman and A is tailor.

Thus, A and B are Tailor and Cook.

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Filed Under: Deriving Conclusions From Passages
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17 17256

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 17231

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 = $\frac{5 x + 9 x}{2}$ = 7x = 7 x 12 = 84 km/hr.

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Filed Under: Average
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20 17176

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:

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 17123

Q:

Find the Missing Numbers in the given Number Puzzle ?

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.

=> ${(6 + 4)}^{2} = 10^{2} = 100$

=> ${(4 + 9)}^{2} = 13^{2} = 169$

=> ${(8 + 1)}^{2} = 9^{2} = 81$ .

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Filed Under: Number Puzzles
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93 17047

Q:

With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey?

A) 70 kms	B) 60 kms
C) 45 kms	D) 30 kms

Answer & Explanation Answer: A) 70 kms

Explanation:

Let the time taken by train be 't' hrs.

Then,

$40 t = 35 (t + \frac{15}{60})$

40t = 35t + 35/4

t = 7/4 hrs

Therefore, Required length of the total journey d = s x t

= 40 x 7/4

= 70 kms.

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Filed Under: Time and Distance
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22 17036

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