Bissoy.com
Doctors Medicines MCQs Q&A

In the following question, three statements are given. You have to find which is/are necessary and sufficient to answer the following question. Four taps A, B, C, and D can fill a tank together in 20 hours. Find the time taken by D to fill the tank alone. Statement 1∶ Time taken by taps A, B, C, and D when filling the tank alone is in the ratio 1 ∶ 2 ∶ 3 ∶ 4. Statement 2∶ Time taken by B alone is 80 hours. Statement 3∶ Time taken by A alone is 40 hours.

In the following question, three statements are given. You have to find which is/are necessary and sufficient to answer the following question. Four taps A, B, C, and D can fill a tank together in 20 hours. Find the time taken by D to fill the tank alone. Statement 1∶ Time taken by taps A, B, C, and D when filling the tank alone is in the ratio 1 ∶ 2 ∶ 3 ∶ 4. Statement 2∶ Time taken by B alone is 80 hours. Statement 3∶ Time taken by A alone is 40 hours. Correct Answer Only statement 1 is sufficient to answer the question.

From statement1 ∶ The time taken by A, B, C, and D, when they are filling the tank alone, is in the ratio of 1 ∶ 2 ∶ 3 ∶ 4.

Time taken by A = x

Time taken by B = 2x

Time taken by C = 3x

Time taken by D = 4x

Total time taken by all of them = x + 2x + 3x + 4x = 10x

Given ∶ Total time = 20 hours

⇒ 10x = 20 hours

⇒ x = 2

∴ Time taken by D = 4x = 8 hours

Only Statement 1 is sufficient to answer the question while statement 2 and statement 3 are not sufficient to answer the question.

Related Questions

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.
Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. Quantity A: Tap1 and Tap2 can fill the tank in 16 hours and 25 hours respectively. Both the taps opened together. After some time Tap 1 is closed and after that the tank is filled in 12 hours. In how many hour Tap 1 and 2 work together? Quantity B: Three taps 1, 2, 3 can fill a cistern in 10,14,18 hours respectively. If tap 1 is kept open all the time and tap 2 and 3 is opened alternatively for an hour then find in how many hours the tank will be filled? Quantity C: Two taps 1 and 2 are such that tap 1 fills the tank in 10 hours and tap2 empties it in 20 hours. If tap 1 is opened first and after 5 hours tap 1 is closed and tap 2 is opened, then the tank emptied in x hours and find the value of x?
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.
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient .How many minutes are there is time period T? (1) Time period T extends from 12.00 midnight to 12.00 noon.(2) Time period T is 2 hours and 180 seconds long.
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.
The following question have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. In how many hours tap R will empty the completely filled tank. Statement I: Taps P and Q together can fill the 3/4th tank in 27/4 hours. Statement II: Tap Q alone can fill the half tank in 8 hours. Statement III: Tap R which is emptying the tank operating with P and Q can fill the tank in 18 hours. 
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient . A fly crawls around the outside of a circle once.A second fly crawls around the outside of a square once.Which fly travels further ? (1) The diagonal of the square is equal to the diagonal of the circle.(2) The fly crawling around the circle took more time to complete has journey than the fly cawing around the square.
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient .Car X traveled from city A to city B in 30 minutes.What was the average speed of car X? (1) Half the distance of the trip was covered at 50 miles per hour, and the other half of the distance was covered at 60 miles per hour.(2) Car X traveled 30 miles during the trip.
Each of the following problem has a question and two statements which are labeled 1. and. Use the data given in 1. and 2. to decide whether the statements are sufficient to answer the question.Select one of the following . a.Statements (1) ALONE is sufficient,but (2) ALONE is not sufficient. b.Statements (2) ALONE is sufficient,but (1) ALONE is not sufficient. c. Both statement TOGETHER are sufficient but statement alone is sufficient . What is the volume of rectangular box S? (1) The total surface of S is 22.(2) The rectangular box S is a cube