GATE Questions

Q:

A can do a work in 9 days, B can do a work in 7 days, C can do a work in 5 days. A works on the first day, B works on the second day and C on the third day respectively that is they work on alternate days. When will they finish the work ?

A) [7 + (215/345)] days B) [6 + (11/215)] days
C) [6 + (261/315)] days D) [5 + (112/351)] days
 
Answer & Explanation Answer: C) [6 + (261/315)] days

Explanation:

After day 1, A finishes 1/9 of the work.

After day 2, B finishes 1/7 more of the total work. (1/9) + (1/7) is finished.

After day 3, C finishes 1/5 more of total work. Total finished is 143/315.

So, after day 6, total work finished is 286/315.

 

Now remaining work =  29 /315

 

On day 7, A will work again 

 

Work will be completed on day 7 when A is working. He must finish 29/315 of total remaining work.

 

Since he takes 9 days to finish the total task, he will need 261/315 of the day. 

 

Total days required is 6 + (261/315) days.

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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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Q:

Wince : Pain :: Prostration : ?

A) Frustration B) Submissiveness
C) Strained D) Discomfiture
 
Answer & Explanation Answer: B) Submissiveness

Explanation:

First is the sigh of the second.

Hence, Wince : Pain :: Prostration :Submissiveness.

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Q:

Find the speed of stream if a boat covers 36 km in downstream in 6 hours which is 3 hours less in covering the same distance in upstream?

A) 1.5 kmph B) 1 kmph
C) 0.75 kmph D) 0.5 kmph
 
Answer & Explanation Answer: B) 1 kmph

Explanation:

Speed of the boat upstream = 36/9 = 4 kmph

Speed of the boat in downstream = 36/6 = 6 kmph

Speed of stream = 6-4/2 = 1 kmph

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Q:

Which value is equal to 5% of 1,500?

A) 35 B) 55
C) 75 D) 45
 
Answer & Explanation Answer: C) 75

Explanation:

In the question it is asked for 5% of 1500

5 x 1500/100 = 15 x 5 = 75.

 

Hence, 5% of 1,500 is equal to 75.

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Q:

Resistance of human body in dry condition

A) 10 ohm B) 1000 ohm
C) 10000 ohm D) 100000 ohm
 
Answer & Explanation Answer: D) 100000 ohm

Explanation:

Under dry conditions, the resistance offered by the human body may be as high as 100,000(10^5) Ohms.

 

Depending on the person, a rough value for the internal resistance of the human body is 300-1,000 Ohms. The skin's resistance is much lower if it is wet or burnt/blistered.



There are a lot of factors involved and not every person has the same electrical resistance. For instance, men tend to have lower resistance than women.

Within the body, the tissues with the greatest resistance are bone and fat - nerves and muscle have the least resistance.

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Filed Under: Physics
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Q:

There are 209 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 11 : 8, then how many nurses are there in the hospital?

A) 88 B) 96
C) 108 D) 121
 
Answer & Explanation Answer: A) 88

Explanation:

Given,
The ratio of the doctors to the nurses is 11 : 8
Number of nurses = 8/19 x 209 = 88.

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Q:

Which resource is both renewable and inexpensive?

A) Sunlight B) Coal
C) Gold D) Minerals
 
Answer & Explanation Answer: A) Sunlight

Explanation:

A resource is a source or supply from which a benefit is produced. Resources can be broadly classified upon their availability they are renewable and non renewable resources.

 

Renewable Resources :: A resource that can be replenished after use are known as Renewable resources.

Examples :: Sunlight, Water, biomass,...

 

Non renewable Resources :: A resource that, once used, is no longer available are known as Non renewable Resources. 

Example :: Coal, fossil fuels, natural gas,...

 

Sunlight is the both renewable and inexpensive resource from the given options.

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