GATE Questions

Q:

A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train?
     

A) 42 kmph B) 43 kmph
C) 40 kmph D) 45 kmph
 
Answer & Explanation Answer: C) 40 kmph

Explanation:

We know that,  Speed = Distance/time

 

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360
 
          speed    =  X Kmph                        Speed = (x+5)
 
            Time =360/X                              Time =360/(x+15)
          

 

For the same journey if the speed increased 10 kmph more it will take 1 hour less

 


Time with original speed - time with increased speed = 1

 => (360/x) - (360/x+10) =  1                               

 =>  (360(x+5)-360x)/x(x+5) =1

 =>   360X + 1800 -360X  = X(X+5)

  =>   X^2 + 5x - 1800 = 0

  X = 40 or -45

 X cannot be negetive value
                  

 X = 40 kmph.

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Q:

caffeine is also a what?

A) Psychoactive B) Barbiturate
C) Narcotic D) Opioid
 
Answer & Explanation Answer: A) Psychoactive

Explanation:

Caffeine is also a psychoactive drug which alters the mood and conscious in our behaviour. It is widely consumed as a psychoactive drug.

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Filed Under: General Science
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Q:

Which was the first Hydel power projects in India?

A) Paikara in Tamilnadu B) Nizamsagar in Telangana
C) Siva Samudram in Karnataka D) Palli vasal in Kerela
 
Answer & Explanation Answer: C) Siva Samudram in Karnataka

Explanation:

Siva Samudram in Karnatka. The potential for hydroelectric power in India is one of the greatest in the world.

 

The first hydro-electric power station in India was established in Karnataka at "shivana samudra".

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Filed Under: Indian Geography
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Q:

What are the Multiples of 4?

Answer

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 upto 40. Mutiples of 4 means which can be divided by 4 leaving remainder '0'.


Common Multiples of 4 & 6 are 12, 24, 36, 48, 60 upto 60.

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Subject: Numbers Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

Two numbers are such that the sum of twice the first number and thrice the second number is 36 and the sum of thrice the first number and twice the second number is 39. Find the difference between the numbers?

A) 15 B) 3
C) 9 D) 6
 
Answer & Explanation Answer: A) 15

Explanation:

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

 

Required, difference between the numbers = a + b = 9 + 6 = 15.

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Filed Under: Simplification
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Q:

The GPS device in an automobile uses which communication channel?

A) Satellite B) Microwave
C) Radio frequency D) Infrared
 
Answer & Explanation Answer: A) Satellite

Explanation:

All automobiles uses satellite communication channel for their GPS devices.

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Filed Under: Physics
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Q:

Statement: There is a substantial increase in the number of accidents causing deaths and severe injuries due to malfunctioning of the traffic signals.
Course of action:
a. The traffic police should immediately post traffic personnel at the junctions.
b. The signal system should immediately be repaired or replaced.

A) Only a follows B) Either a or b follows
C) Only b follows D) Neither a nor b follows
 
Answer & Explanation Answer: B) Either a or b follows

Explanation:

Clearly, either the traffic signals should be made to function properly or traffic personnel should be deployed to guide vehicular movement in the right way. So either I or II follows.

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Q:

6 choose 3 =

A) 20 B) 30
C) 18 D) 24
 
Answer & Explanation Answer: A) 20

Explanation:

6 choose 3 means number of possible unordered combinations when 3 items are selected from 6 available items i.e, nothing but 6C3.

Now 6C3 = 6 x 5 x 4/3 x 2 x 1 = 120/6 = 20.

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Filed Under: Arithmetical Reasoning
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