GATE Questions

Q:

Sum of present ages of P and Q is 41. Age of P 2 year hence is equal to age of R, 1 year ago. Age of P, 4 year hence is equal to age of Q 1 year ago and ratio of present age of P and S is 3 : 4. Find the difference of age of R and S. 

A) 2 B) 3
C) 4 D) 5
 
Answer & Explanation Answer: B) 3

Explanation:

According to the given data,

P + Q = 41 ......(1)

R - 1 = P + 2

R = P + 3

and

P + 4 = Q - 1

=> Q = P + 5 ....(2)

From (1)&(2)

P = 18

Q = 18 + 5 = 23

R = 18 + 3 = 21

=> P/S = 3/4

=> S = 4/3 x 18 = 24

Required Difference = S - R = 24 - 21 = 3.

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Filed Under: Problems on Ages
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10 6220
Q:

A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ?

A) 4 hrs 15 min B) 3 hrs 24 min
C) 4 hrs 51 min D) 3 hrs 45 min
 
Answer & Explanation Answer: D) 3 hrs 45 min

Explanation:

Time taken by one tap to fill half of the tank = 3 hrs.

Part filled by the taps in 1 hour = 4 x 1/6 = 2/3

Remaining part = 1 - 1/2 = 1/2

2/3 : 1/2 :: 1 : p

p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min

So, total time taken = 3 hrs 45 min.

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Filed Under: Pipes and Cistern
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13 6219
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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Filed Under: Problems on Trains
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10 6218
Q:

Onion Eating Festival is celebrated in which country ?

A) Sweden B) Thailand
C) New Delhi D) Spain
 
Answer & Explanation Answer: D) Spain

Explanation:

Sweden - Potato Festival

Thailand - Vegetarian Festival

New Delhi - International Mango Festival

Spain - Onion Eating Festival

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Filed Under: World Geography
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21 6215
Q:

After working for 8 days, Hari Ram finds that only 1/3 rd of the work has been done. He employs Satya who is 60% as efficient as Hari Ram. How many days more would Satya take to complete the work ?

A) 24 1/2 days B) 25 3/2 days
C) 24 2/3 days D) 26 2/3 days
 
Answer & Explanation Answer: D) 26 2/3 days

Explanation:

1/3 ---- 8

1 -------?
Hari can do total work in = 24 days

As satya is 60% efficient as Hari, then

Satya = 1/24 x 60/100 = 1/40

=> Satya can do total work in 40 days

1 ----- 40

2/3 ---- ? => 26 2/3 days.

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Filed Under: Time and Work
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11 6210
Q:

The Largest Component of National Income is

A) Proprietors Income B) Compensation of Employees
C) Corporate Profits D) Rental Income
 
Answer & Explanation Answer: B) Compensation of Employees

Explanation:

National Income is the total income value of the goods and services produced by the residents of a country, usually during the period of one year.

National Income is categorized into 6 components. They are :

1. Compensation of Employees (Wages and Benefits)
2. Corporate Profits
3. Rental Income
4. Proprietors Income (Income of unincorporated business)
5. Net Interest

The Largest Component of National Income is Compensation of Employees.

 

The Largest component of National Income in India is Service Sector.

 

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Filed Under: Indian Economy
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11 6209
Q:

The marked price of a Watch is Rs.8400. It is to be sold at Rs.6896 at two successive discounts. If the first discount is 12%, the second discount is ?

A) 7.2 % B) 9.14 %
C) 7.13 % D) 6.709 %
 
Answer & Explanation Answer: D) 6.709 %

Explanation:

(100-x)%  of 88% of 8400 = 6896

 

=> 100-x10088100x8400 = 6896


=> x = 6.709%

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Filed Under: Percentage
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4 6186
Q:

Motorcycle : Battery :: Life : ?

A) Star B) Moon
C) Sun D) Earth
 
Answer & Explanation Answer: C) Sun

Explanation:

Second is the ultimate source for the first.

That is, Battery is the source of motorcycle. Similarly, Sun is the ultimate source of life.

 

Hence, Motorcycle : Battery :: Life : Sun.

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Filed Under: Analogy
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33 6185