GATE Questions

Q:

Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?

A) 27 7/9 mts B) 25 8/7 mts
C) 21 1/4 mts D) 22 mts
 
Answer & Explanation Answer: A) 27 7/9 mts

Explanation:
Relative speed = (40 - 20) km/hr = ( 20 x 5 ( m/sec = ( 50 ( m/sec.
18 9
Therefore Length of faster train = ( 50 x 5 ( m = 250 m = 27 7 m.
9 9 9
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10 7395
Q:

The output quality of a printer is measured by

A) Dots per line B) Dots printed per unit time
C) Dots per inch D) All of the above
 
Answer & Explanation Answer: C) Dots per inch

Explanation:

DPI [Dots Per Inch] is a measurement of output quality of printer resolution. It represents number of ink dots the printer can place in an area of one square inch. The lesser the DPI the less sharper the image and vice versa.

 

Therefore, a printer that may have 400 DPI, a printer that can print 400 x 400 per square inch or 1,60,000 dots per inch.

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6 7393
Q:

Teachers day is celebrated in memory of

A) Dr. Rajendra Prasad B) Sir Vallabhai Patel
C) Dr. Sarvepalli Radhakrishnan D) Jawaharlal Nehru
 
Answer & Explanation Answer: C) Dr. Sarvepalli Radhakrishnan

Explanation:

Every year 5th September is celebrated as Teacher's Day in India, in the memory of Dr. Sarvepalli Radhakrishnan's birthday. He was the first vice-president and second president of India.

                                         Teachers_day_is_celebrated_in_memory_of1536127626.jpg image

 

After he become the president of India, his students want to celebrate his birthday in grand but he refused and he adviced them to celebrate that day as teachers day. From then, 5th September is celebrated as Teacher's Day.

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2 7382
Q:

Order of basicity of amines in gaseous state?

A) 2'> 1'> 3' > NH3 B) 3' > 2' > 1'> NH3
C) 1' > 2' > 3'> NH3 D) 2'> 3'> 1' > NH3
 
Answer & Explanation Answer: B) 3' > 2' > 1'> NH3

Explanation:

The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding.

 

So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic.

 

But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.

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Filed Under: Chemistry
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Q:

Microwave communication uses high-frequency.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

Microwaves are high-frequency signals in the 300 MHz to 300 GHz range. This is in contrast to radio signals, which are typically broadcast in all directions. Radio signals operate in the 3 Hz to 300 MHz range.


Microwave signals are used for both satellite and ground-based communications.

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Subject: Physics
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5 7377
Q:

The reactivity of an atom arises from 

A) the existence of unpaired electrons in the valence shell B) the energy differences between the electron shells
C) the sum of the potential energies of all the electron shells D) the average distance of the outermost electron shell from the nucleus
 
Answer & Explanation Answer: A) the existence of unpaired electrons in the valence shell

Explanation:

When atoms react they do so in order to reach the lowest energy, which is the most stable. The electrons orbitals will overlap in the way that reduces the energy the most. Orbitals of similar energy will produce the greatest stabilisation.The answer you gave isn't the whole story, it depends what species is reacting with what. The effective nuclear charge on the atom will affect the energy of the valance electrons.

 

Hence, the reactivity of an atom arises from the existence of unpaired electrons in the valence shell.

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Q:

Rupee : Indian :: Yen : ?

A) Pakistan B) Turkey
C) Japan D) Bangladesh
 
Answer & Explanation Answer: C) Japan

Explanation:

The rupee is the currency of India. Similarly, Yen is the currency of Japan.

 

Hence, Rupee : Indian :: Yen : Japan.

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5 7362
Q:

The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ?

A) 36 kmph B) 30 kmph
C) 34 kmph D) 40 kmph
 
Answer & Explanation Answer: B) 30 kmph

Explanation:

Let the speed of the faster train be 'S' kmph

 

Then speed of the slower train will be '(S-5)' kmph

 

Time taken by faster train = 350/S hrs

 

Time taken by slower train = 350/(S-5) hrs

 350s-5 - 350s = 2 hrs 20 min = 213 = 73

 

=> S = 30 km/hr.

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