Aptitude Solved Problems
1. Praveen can lay railway track between two stations in 16 days. Raju can do the same job in 12 days. With the help of Ravi, they completes the job in 4 days. How much days does it take for Ravi alone to complete the work?
Answer: 9 ( 3 / 5 ) days
Explanation:
Amount of work Praveen can do in 1 day = ( 1 / 16 )
Amount of work Raju can do in 1 day = ( 1 / 12 )
Amount of work Praveen, Raju and Ravi can together do in 1 day = ( 1 / 4 )
Amount of work Ravi can do in 1 day = [ 1 / 4 - ( ( 1 / 16 ) + ( 1 / 12 ) ) ]
= [ (( 4 - 1) / 16 ) - ( 1 / 12 ) ]
= ( 3 / 16 ) - ( 1 / 12 )
= ( 9 - 4 ) / 48
= ( 5 / 48 )
Hence Ravi can do the job on ( 48 / 5 ) days
= 9 ( 3 / 5 ) days
∴ Ravi can complete the job in 9 ( 3 / 5 ) days.
2. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
Answer: 50 meter
Explanation:
Let length of each train = x meter
Total distance covered while passing the slower train
= ( x + x )
= 2x meter
Relative speed = ( 46 - 36 )
= 10 km/hr
To convert km/hr into m/sec
= 10 * ( 5 / 18 )
= ( 50 / 18 ) m/s
Time = 36 seconds
Speed = ( Distance / Time )
( 2x / 36 ) = ( 50 / 18 )
2x = ( 50 / 18 ) * 36
2x = ( 50 * 2 )
2x = 100
x = 50
∴ Length of each train is 50 meter.
3. One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen or King).
Answer: ( 3 / 13 )
Explanation:
Total number of cards, n(S) = 52
Total number of face cards, n(E) = 12
P(E) = n(E) / n(S)
= ( 12 / 52 )
= ( 3 / 13 )
∴ Probability is ( 3 / 13 ).
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1. Praveen can lay railway track between two stations in 16 days. Raju can do the same job in 12 days. With the help of Ravi, they completes the job in 4 days. How much days does it take for Ravi alone to complete the work?
Answer: 9 ( 3 / 5 ) days
Explanation:
Amount of work Praveen can do in 1 day = ( 1 / 16 )
Amount of work Raju can do in 1 day = ( 1 / 12 )
Amount of work Praveen, Raju and Ravi can together do in 1 day = ( 1 / 4 )
Amount of work Ravi can do in 1 day = [ 1 / 4 - ( ( 1 / 16 ) + ( 1 / 12 ) ) ]
= [ (( 4 - 1) / 16 ) - ( 1 / 12 ) ]
= ( 3 / 16 ) - ( 1 / 12 )
= ( 9 - 4 ) / 48
= ( 5 / 48 )
Hence Ravi can do the job on ( 48 / 5 ) days
= 9 ( 3 / 5 ) days
∴ Ravi can complete the job in 9 ( 3 / 5 ) days.
2. Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36km/hr. If the faster train passes the slower train in 36 seconds,what is the length of each train?
Answer: 50 meter
Explanation:
Let length of each train = x meter
Total distance covered while passing the slower train
= ( x + x )
= 2x meter
Relative speed = ( 46 - 36 )
= 10 km/hr
To convert km/hr into m/sec
= 10 * ( 5 / 18 )
= ( 50 / 18 ) m/s
Time = 36 seconds
Speed = ( Distance / Time )
( 2x / 36 ) = ( 50 / 18 )
2x = ( 50 / 18 ) * 36
2x = ( 50 * 2 )
2x = 100
x = 50
∴ Length of each train is 50 meter.
3. One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen or King).
Answer: ( 3 / 13 )
Explanation:
Total number of cards, n(S) = 52
Total number of face cards, n(E) = 12
P(E) = n(E) / n(S)
= ( 12 / 52 )
= ( 3 / 13 )
∴ Probability is ( 3 / 13 ).
Sharpen your IQ and increase your potential ability to excel in your passionate career, try out Aptitude Test and Preparation Android app :
https://goo.gl/K4mpJ5
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