Bissoy.com
Doctors Medicines MCQs Q&A

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. In how much time can pipe P alone fill the tank of capacity 150 litres which has a leak at the bottom? Statement I: Pipe Q alone can fill the tank in 75 minutes Statement II: The leak can empty half of the tank in 90 minutes Statement III: Both the pipes can fill the tank in 50 minutes

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. In how much time can pipe P alone fill the tank of capacity 150 litres which has a leak at the bottom? Statement I: Pipe Q alone can fill the tank in 75 minutes Statement II: The leak can empty half of the tank in 90 minutes Statement III: Both the pipes can fill the tank in 50 minutes Correct Answer All I, II and III are together sufficient to answer

Given capacity of the tank = 150 litres

From statement I

Capacity of Q = 150/75 = 2 litre/min

From statement II

Capacity of leak = 150/(2 × 90) = (5/6)litre/min

From statement III

Total capacity (P + Q - Leak) = (150/50) = 3 litre/min

Since, capacity has been calculated; time for P can be calculated

∴ All I, II and III are together sufficient to answer

Related Questions

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. In how much time can three pipes P1, P2 and P3 together fill an empty tank which has a leak at the bottom? Statement I: Pipe P1 and P2can fill the tank completely in 30 minutes with the leak Statement II: Pipe P3 alone can fill the tank completely in 110 minutes if there is no leak at the bottom Statement III: When there is no leak at the bottom of the tank, the ratio of the time taken by all the three pipes P1, P2, P3 is 2 : 2 : 3
Two pipes are connected to tank 1 and one pipe connects tank 1 and tank 2 at the bottom of both tanks. At first pipe A and pipe B will filling tank 1 and then pipe C would be opened to fill tank 2. Capacity of tank 1 is twice capacity of tank 2. Pipe C takes 8 minutes to fill the whole tank 2 wherein discharging capacity of pipe C is 62.5 liters per minute. Ratio of time taken by pipe A and B to fill the tank when operating alone is 4 : 5 then find approximate discharging capacity of pipe A and B in liters/ minute if both the pipes discharge equal amount of water in tank. Time taken by pipe A and B to fill the tank 1 is 20/ 3 minutes
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank.
The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. What proportion of liquid of type C is there in the tank of capacity 60 liters after 2 minutes if the tank is initially empty? Statement I: Three pipes P, Q, R fill the tank in 15 minutes, 12 minutes and 10 minutes respectively Statement II: When the tank was empty all the three pipes are opened and they discharge three different types of liquid Statement III: Pipe P discharge type A liquid, pipe Q discharge type B liquid and Pipe R discharge type C liquid
Three pipes x, y and z can fill a tank A can fill it in 4 minutes. Two pipes p and q are connected to tank B. how much time does it take for both tanks to run at the full capacity? Ratio of time taken to fill tank A by P and time taken by x to fill tank A is 2: 1 and ratio of time taken by Q to fill tank B and Z to fill tank A is 5: 3. Pipe P is 20% more efficient then pipe Q. and pipe Y takes 12 minutes to fill the tank. Capacity of tank B is 3/4 times of tank A. Note: Tank B is to be filled only after filling tank A. Valves of pipe p and q are closed once tank B is running at full capacity.
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: There are two inlet pipes A, B and two outlet pipes C, D inlet pipe B takes 7 hours more to fill the tank when compared to A. Two outlet pipes when working together can empty the tank in 3.5 hours and efficiency of both the pipe is same if all of them working together can fill the tank in 2 hours. Calculate the time taken by A to fill the tank. Quantity B: The ratio of efficiencies of two pipes A and B is in the ratio 3 ∶ 2 and that of pipe B and C is 1 ∶ 3. Pipe A and B are inlet pipes, pipe C is outlet pipe working together they can fill the tank in 7.5 hours. Calculate the time taken by A to fill the tank when working alone.
Given below are three quantities named A, B and C. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. The options represent the relations between these three quantities A) > B) < C) = D) ≤ E) ≥ Two pipes P and Q can fill an empty tank in 20 minutes and 30 minutes respectively. Quantity A: If both pipes are opened simultaneously, then after what certain time P should be closed so that further time after which the tank is filled in 15 minutes? Quantity B: If both are opened and P is closed after 8 minutes, how much further time would it take for Q to fill the bucket? Quantity C: Pipe A and B can fill a tank in 15 minutes and 10 minutes respectively. Pipe C can empty the tank in 5 minutes. Pipe A and B are opened simultaneously and after the 4-minute pipe, C is also opened. In what time the tank will be emptied?
A question is given followed by information in three statements. You have to find out the data in which statement (s) is sufficient to answer the question and mark your answer accordingly. How much time does pipe A take to fill a tank which has leak B at the bottom? I) Both leakage B and pipe A work simultaneously and the tank gets emptied in a few minutes II) Pipe A takes half the time leakage pipe takes to empty the tank. III) Leakage pipe B takes 60 minutes to empty the tank.
A question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. Pipe A can fill the tank in 30 minutes and pipe B also fills the tank in some time. Pipe C alone completely empty the filled tank in 15 minutes, then B alone can fill a completely empty tank when pipe C is shut? I) A, B and C together they fill the tank in 60 minutes. II) A and B together fill the tank in 12 minutes.