GATE Questions

Q:

In what time a 360 m. long train moving at the speed of 44 km/hr will cross a 140 m. long bridge ?

A) 36 sec B) 39 sec
C) 41 sec D) 43 sec
 
Answer & Explanation Answer: C) 41 sec

Explanation:

Speed = 44 kmph x 5/18 = 110/9 m/s

We know that, Time = distance/speed

Time = (360 + 140) / (110/9)

= 500 x 9/110 = 41 sec.

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Filed Under: Time and Distance
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12 6441
Q:

A sum of Rs. 8,000 is deposited for 3 years at 5% per annum compound interest (compounded annually). The difference of interest for 3 years and 2 years will be

 

A) Rs. 387 B) Rs. 441
C) Rs. 469 D) Rs. 503
 
Answer & Explanation Answer: B) Rs. 441

Explanation:

Given principal amount = Rs. 8000

Time = 3yrs

Rate = 5%

C.I for 3 yrs = 8000 x 105100 x 105100 x 105100 - 8000= Rs. 1261

 

Now, C.I for 2 yrs = 8000 x 105100 x 105100= Rs. 820 

 

Hence, the required difference in C.I is 1261 - 820 = Rs. 441

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14 6437
Q:

One boat is overtaking another. Which boat must give way?

Answer

The boat which is overtaken must give way to the boat which is overtaking.

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20 6437
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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4 6430
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 6424
Q:

If 6 (P's Capital ) = 8 ( Q's Capital ) = 12 ( R's Capital ) , then out of the total profit of Rs 4650 , R will receive ?

A) Rs. 1033.33 B) Rs. 1024
C) Rs. 1148.14 D) Rs. 1245.32
 
Answer & Explanation Answer: A) Rs. 1033.33

Explanation:

Let
P's capital = p,
Q's capital = q and
R's capital = r.
Then

6p = 8q = 12r
=> 3p = 4q = 6r
=>q = 3p/4
r = 3p/6 = p/2
P : Q : R = p : 3p/4 : p/2
= 4 : 3 : 2
R's share = 4650 * (2/9) = 150*6 = Rs. 1033.33.

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Filed Under: Partnership
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3 6417
Q:

12 as a percentage?

A) 50% B) 5%
C) 0.5% D) 0.05%
 
Answer & Explanation Answer: A) 50%

Explanation:

1/2 as a percentage means

1/2 = 0.5 in decimal

Now, in percentage means 0.5 x 100% = 50%.

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9 6417
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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Filed Under: Physics
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