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Question 1 of 5
1. Question
The following questions are accompanied by three statements (I), (II), and (III). You have to determine which statement(s) is/are sufficient /necessary to answer the question.
Question: What is distance between A and B?
I. Two persons Amit and Abhi started simultaneously from A to B with their speed in ratio 4 : 5.
II. Abhi reached one hour earlier than Amit.
III. Difference between speed of Amit and Abhi is 20 km/hr.
Correct
Answer: Option (c)
Explanation:
From I, II & III
Let speed of Amit and Abhi be 4x and 5x km/hr respectively.
5x – 4x = 20
∴ x = 20 km/hr
Let distance be d km
(d/80) – (d/100) = 1
∴ d = (80×100)/20 = 400km Hence, option (c) is correct answer
Incorrect
Answer: Option (c)
Explanation:
From I, II & III
Let speed of Amit and Abhi be 4x and 5x km/hr respectively.
5x – 4x = 20
∴ x = 20 km/hr
Let distance be d km
(d/80) – (d/100) = 1
∴ d = (80×100)/20 = 400km Hence, option (c) is correct answer
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Question 2 of 5
2. Question
Two trains start at the same time from Bengaluru and Shimoga and proceed towards each other at 70 kmph and 85 kmph respectively. When they meet, it is found that one train has travelled 150 km more than the other. Find the distance between Bengaluru and Shimoga.
Correct
Answer: Option (a)
Explanation:
Let t be the time taken by them to meet.
Distance travelled by first train = Speed × Time = 70 × t = 70t
Distance travelled by second train = Speed × Time = 85 × t = 85t
Now, the difference in the distances travelled by the two trains is 150 kms
Therefore, 85t – 70t = 150
or 15t = 150
or t = 10 hr So, Total Distance between Bengaluru and Shimoga = (85 + 70) t = 155 × 10 = 1550 kms
Incorrect
Answer: Option (a)
Explanation:
Let t be the time taken by them to meet.
Distance travelled by first train = Speed × Time = 70 × t = 70t
Distance travelled by second train = Speed × Time = 85 × t = 85t
Now, the difference in the distances travelled by the two trains is 150 kms
Therefore, 85t – 70t = 150
or 15t = 150
or t = 10 hr So, Total Distance between Bengaluru and Shimoga = (85 + 70) t = 155 × 10 = 1550 kms
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Question 3 of 5
3. Question
Mohan travels from Delhi to Agra at an average speed of 75 Km/h covering the distance in 4 hours. While returning, he takes a different route from Agra to Delhi and reaches Delhi after a journey of 4 hours. Which of the following statements is correct?
Correct
Answer: Option (d)
Explanation:
As Mohan takes a different path while returning from Agra, the distance of the new path is not known. Hence, no conclusion regarding the speed can be made.
Incorrect
Answer: Option (d)
Explanation:
As Mohan takes a different path while returning from Agra, the distance of the new path is not known. Hence, no conclusion regarding the speed can be made.
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Question 4 of 5
4. Question
A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?
Correct
Answer: Option (b)
Explanation:
A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X.
Now equate both the ratios by making Y equal in both,
So, Z : Y : X = 6 : 2 : 1 (this is the ratio of efficiencies of the pipes)
If three pipes fill the tank in 5 hours, there fore the total work done is
= Time × Total Efficiency of pipes
= 5 × (6+2+1) = 45
So X will take time = Work/ X’s Efficiency
= 45/1 = 45 hours
Incorrect
Answer: Option (b)
Explanation:
A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X.
Now equate both the ratios by making Y equal in both,
So, Z : Y : X = 6 : 2 : 1 (this is the ratio of efficiencies of the pipes)
If three pipes fill the tank in 5 hours, there fore the total work done is
= Time × Total Efficiency of pipes
= 5 × (6+2+1) = 45
So X will take time = Work/ X’s Efficiency
= 45/1 = 45 hours
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Question 5 of 5
5. Question
Pipe A is an inlet pipe that can fill an empty cistern in 69 hours. Pipe B can drain the filled cistern in 46 hours. When the cistern was filled the two pipes are opened one at a time for an hour each, starting with Pipe B. how long will it take for the cistern to be empty?
Correct
Answer: Option (b)
Explanation:
Pipe A can fill cistern in 69 hours.
Pipe B can empty cistern in 46 hours.
Let’s assume total work = 138
Efficiency of A = 2
Efficiency of B = -3 (Subtraction sign is due to outlet pipe.)
For empty the cistern, Alternatively pipe B and A respectively work. So in every 2 hours 1 part of tank is empty out of total 138.
Then we can say that for emptying 135 parts, we need 270 hours and last 1 hour B will empty 3 parts.
So 270 + 1 = 271 hours
If we convert 271 hours in days by dividing 24. Then got 11 days 7 hours.
Incorrect
Answer: Option (b)
Explanation:
Pipe A can fill cistern in 69 hours.
Pipe B can empty cistern in 46 hours.
Let’s assume total work = 138
Efficiency of A = 2
Efficiency of B = -3 (Subtraction sign is due to outlet pipe.)
For empty the cistern, Alternatively pipe B and A respectively work. So in every 2 hours 1 part of tank is empty out of total 138.
Then we can say that for emptying 135 parts, we need 270 hours and last 1 hour B will empty 3 parts.
So 270 + 1 = 271 hours
If we convert 271 hours in days by dividing 24. Then got 11 days 7 hours.
