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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Filed Under: Problems on Trains
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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:

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:

5/8 as a Decimal Equals To

A) 0.625 B) 0.541
C) 0.258 D) 0.147
 
Answer & Explanation Answer: A) 0.625

Explanation:

5/8 is Nothing but to divide 5 into 8 parts.

 

 

As 5 is smaller than 8, the quotient starts with a decimal point to make 5 as 50 to be divisible by 8. (0.)

 

 

Now 50 goes for 6 times in 8 leaving a remainder 2. (0.6)

 

  

Again 2 is smaller than 8, As it already has decimal point in the quotient, now 2 becomes 20.

 

  

Now 20 goes for 2 times in 8 leaving a remainder 4. (0.62)

 

  

Again 4 is smaller than 8, As it already has decimal point in the quotient, now 4 becomes 40.

 

 

Now 40 goes for 5 times in 8 leaving a remainder 0. (0.625)

 

 

Therefore, the decimal value of 58 is 0.625.

 

Now find a decimal value of 1117 and Discuss your at Discuss.

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Filed Under: Decimal Fractions
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Q:

Water is an excellent solvent because

Answer

Water is capable of dissolving a variety of different substances, which is why it is such a good solvent.

And, water is called the "universal solvent" because it dissolves more substances than any other liquid

It means that wherever water goes, either through the ground or through our bodies, it takes along valuable chemicals, minerals, and nutrients

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Q:

What tastes better than it smells?

Answer

Tongue. Yes tongue tastes better than it smells as it can't smell.

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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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2 2756
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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