GATE Questions

Q:

Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?

 ___ utt ___ tt ___ ttu ___   

A) t t u t B) t u t t
C) t u u t D) t t t u
 
Answer & Explanation Answer: C) t u u t

Explanation:

t, u, u and t.

The sequence is : tut tut tut tut.

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8 7055
Q:

Which of the following is not a transverse wave?

A) Light waves B) Radio waves
C) Sound waves D) All the above
 
Answer & Explanation Answer: C) Sound waves

Explanation:
Light and Radio waves are both different frequency/wavelengths of electromagnetic radiation, which consists of two components electric and magnetic of perpendicular, transverse waves. 

 
Sound, on the other hand, is a longitudinal wave which oscillates parallel to it's medium (back and forth instead of up and down).
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Filed Under: Physics
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14 7044
Q:

Minute is to hour as second is to

A) Milli seconds B) Hour
C) Minute D) All of the above
 
Answer & Explanation Answer: C) Minute

Explanation:

We know that, 60 minutes = 1 Hour. Similarly, 60 seconds = 1 Minute.

 

Therefore, Minute is to hour as second is to Minute.

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Filed Under: Analogy
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8 7033
Q:

Assertion(A) : The pouring of kerosene oil on stagnant pools helps to eradicate malaria.
Reason(R) : The kerosene oil is poisonous for the mosquitoes.

A) R correctly explains A B) R is true but A is fale
C) A is true but R is false D) Both A and R are false
 
Answer & Explanation Answer: C) A is true but R is false

Explanation:

The kerosene oil sprayed on the water provodes a thin cating and the larvae of the mosquitoes are prevented from coming up to breathe. Thus, they die.
Hence, A is true but R is false.

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Filed Under: Assertion and Reason
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7 7033
Q:

A duster is of dimension 5x5x7 all in cms,  is sinked into a cylindrical vessel of radius 5 cm and height 10 cm. After insertion the level of the water is inccresed by 2.14 cm. Then by what percentage the part of the duster is above the layer ?

A) 96 % B) 4 %
C) 97 % D) 3 %
 
Answer & Explanation Answer: B) 4 %

Explanation:

Imension of the duster is assumed as 5x5x7 cm3

Volume of the duster below the water layer
= volume of water increased
= πxrxrxh = 3.14×52×2.14 ≈ 168 cm3

Total volume of the duster = 5×5×7 = 175 cm3

Percentage of the duster part below the layer = 168×100/175 = 96%

Percentage of the duster part above the layer = 4%

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Filed Under: Percentage
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4 7027
Q:

What is so delicate that even mentioning it breaks it?

Answer

Silence is what is so delicate that even mentioning it breaks it.

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8 7027
Q:

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. After how many seconds does the ball attain its maximum height?

A) 2.87 sec B) 3.44 sec
C) 4.65 sec D) 5.41 sec
 
Answer & Explanation Answer: B) 3.44 sec

Explanation:

It is launched vertically with an initial speed of 110 ft/sec.

It will reach maximum height when the speed drops to 0.

Vo=110 feet per second 

ho=2 feet 

So, h(t) = -16t^2 +110t +2 

Take the derivative: h'(t) = 110 -32t 

The maximum height will be at the inflection when the derivative crosses the x-axis, then h'(t)=0. 

So, set h'(t)=0 and solve for t: 

0 = 110 -32t 

-110 = -32t 

t=3.4375 

t=3.44 seconds.

 

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3 7022
Q:

Only if Sheela is happy, then she does not go to work.

A) Sheela is not happy and she goes to work. B) Sheela is happy and she does not go to work
C) Sheela is not happy and she does not go to work. D) Sheela is happy and she goes to work.
 
Answer & Explanation Answer: A) Sheela is not happy and she goes to work.

Explanation:

The event of "Sheela is not going to work" happens only when the event "Sheela is happy" happens. Also, if the event "Sheela is happy" does not happen, then the event "Sheela is not going to work" will not happen. In other words, if it is true that Sheela is not happy, then it means that Sheela is going to work.

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21 7019