GATE Questions

Q:

The energy associated with motion is called

A) Potential energy B) Kinetic energy
C) Both A & B D) None of the above
 
Answer & Explanation Answer: B) Kinetic energy

Explanation:

Energy can be either a potential energy or a kinetic energy.

The energy associated with motion is called Kinetic energy and it can be stored. And the energy associated with position is called Potential energyand it cannot be stored.

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Q:

Siphon will fail to work if

A) The level of the liquid in the two vessels are at the same height B) The temperature of the liquids in the two vessels are the same
C) The densities of the liquid in the two vessels are equal D) Both its limbs are of unequal length
 
Answer & Explanation Answer: A) The level of the liquid in the two vessels are at the same height

Explanation:

Siphon is a tube bent to form two legs of unequal length by which a liquid can be transferred from a reservoir and then down to a lower level of it.

 

siphon_will_fail_to_work_if1556686678.jpg image

 

Siphon will fail to work if, the level of the liquid in the two vessels are at the same height.

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Q:

What type of mirror is used in car headlights?

A) Concave B) convex
C) Both A & B D) None of the above
 
Answer & Explanation Answer: A) Concave

Explanation:

Concave type of glasses are used in the headlights of the vehicles as the light from the bulb which is at focus will converges out and spreads and reflects back parallely.

 

What_type_of_mirror_is_used_in_car_headlights1535545831.jpg image

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Q:

On the occasion of New Year, each student of a class sends greeting cards to the others. If there are 21 students in the class, what is the total number of greeting cards exchanged by the students?

A) 380 B) 420
C) 441 D) 400
 
Answer & Explanation Answer: B) 420

Explanation:

Given total number of students in the class = 21

 

So each student will have 20 greeting cards to be send or receive (21 - 1(himself))

 

Therefore, the total number of greeting cards exchanged by the students = 20 x 21 = 420.

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Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?

A) 550 B) 575
C) 625 D) 700
 
Answer & Explanation Answer: D) 700

Explanation:

Let number of boys = B

Number of girls = G

From the given data,

1B/3 + 1G/2 = 300

But given B/3 = 100

=> B = 300

G/2 = 300 - 100

G = 200 x 2

=> G = 400

Therefore, total number of students in the college = B + G = 700.

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10 5087
Q:

In latest generation computers, the instructions are executed

A) Sequentially only B) Parallelly only
C) Both sequentially and parallelly D) None of the above
 
Answer & Explanation Answer: C) Both sequentially and parallelly

Explanation:

In_latest_generation_computers,_the_instructions_are_executed1556257673.jpg image

 

In latest generation computers, the instructions are executed both sequencially and parallelly.

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Q:

What is the difference between the compound interests on Rs. 5000 for 11⁄2 years at 4% per annum compounded yearly and half-yearly?

A) Rs. 1.80 B) Rs. 2.04
C) Rs. 3.18 D) Rs. 4.15
 
Answer & Explanation Answer: B) Rs. 2.04

Explanation:

Compound Interest for 1 12 years when interest is compounded yearly = Rs.(5304 - 5000)


Amount after 112 years when interest is compounded half-yearly 


Compound Interest for 1 12 years when interest is compounded half-yearly = Rs.(5306.04 - 5000)


Difference in the compound interests = (5306.04 - 5000) - (5304 - 5000)= 5306.04 - 5304 = Rs. 2.04

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Q:

Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ?

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

Explanation:

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

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