Bissoy.com
Doctors Medicines MCQs Q&A

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: 8 men working 9 hours a day can complete 2 units of work in 20 days. In how many days can 6 men working 10 hours a day to complete 3 unit of work? Quantity B: P is 70% more efficient than Q, while R is 45% less efficient that Q. If P and R can together do a certain work in 16 days, in how many days will Q do the same work alone?

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: 8 men working 9 hours a day can complete 2 units of work in 20 days. In how many days can 6 men working 10 hours a day to complete 3 unit of work? Quantity B: P is 70% more efficient than Q, while R is 45% less efficient that Q. If P and R can together do a certain work in 16 days, in how many days will Q do the same work alone? Correct Answer Quantity A = Quantity B or No relation

Quantity A: 

/W1 = /W2

⇒ /2 = /3

⇒ D2 = /

D2 = 36 days

Quantity B: 

Let Q take ‘x’ day to do the work alone

⇒ Q’s 1 day work = 1/x

As, P is 70% more efficient than Q

⇒ P’s 1 day work = (100 + 70)% of Q’s 1 day work = (17/10) × (1/x) = 17/10x

Similarly, R is 45% less efficient than Q

⇒ R‘s 1 day work = (100 – 45)% of Q’s 1 day work = (55/100) × (1/x) = 11/20x

Now, P and R can together do the work in 16 days

⇒ (P & R)’s 1 day work = 1/16

⇒ (17/10x) + (11/20x) = 1/16

⇒ 9/4x = 1/16

⇒ x = 16 × (9/4) = 36 days

∴ Q can do the work alone in 36 days

∴ Quantity A = Quantity B

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 I: Pipe A alone can fill the tank in 15 hours while pipe B alone can empty the tank in 5 hours. There is a leakage at the bottom which also alone can empty the tank in 4 hours. When pipe A and Pipe B are open simultaneously then in how many hours the tank gets empty? Quantity II: 25 men can complete the work in 20 hours and 30 women can complete the work in 15 hours. If 15 men work for 10 hours then stopped working then remaining work gets completed by all 30 women. In what time total works get completed?
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.
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.
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: A can do a piece of work in 10 days and B can do the same work in 15 days. They start working together and after 4 days, A left the work. Find in how many days the total work will be completed. Quantity B: P can do a piece of work in 15 days and Q can do the same work in 25 days. They start working together and after 5 days, Q left the work. Find in how many days the remaining work will gets completed.
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: 20% of students prefer to speak both English and Hindi while 40% of students prefer to speak Hindi and 55% of students prefer to speak English. 1300 students don’t prefer to speak both English and Hindi. Find the difference between the number of students who speak only English and only Hindi. Quantity B: 10 men can complete the work in 20 days while 30 women can complete the work in 40 days. If 8 men and 30 women started the work and they work for 8 days then left the work. The remaining work will be completed by a certain number of women in 57.6 days. Find the number of women who completed the remaining work.
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: Twelve persons can construct a 320 m long wall in 32 days working 8 hours a day. In how many days can 40 persons construct a 250 m long wall working 10 hours a day? Quantity B: A can finish the work in 15 days and B in 30 days. They both work together for 5 days and then B leaves. How many days will A take to complete the remaining work?
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: P and Q received Rs. 2000 and Rs. 2500 respectively as their wage for a certain work. If P can do the work alone in 15 days, in how many days will Q do the same work alone? Quantity B: R and S worked together and received their wages in the ratio 4 ∶ 5. If R can do a work in 10 days, in how many days will S do the same work?
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 I: A alone can complete the work in 45 days while B alone can complete the work in 30 days. If both work for 10 days then A left the job and remaining work is completed by B and C in 16/3 days. In what time A and C can complete the work? Quantity II: 26/3 days 
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: A can do 40% of a work in 6 days and B can do 30% of the same work in 3 days. They started the work together but B left after 2 days and A continued to work. In how many days was the entire work completed? Quantity B: Type 1 workers are two-and-a-half times as efficient as Type 2 workers. If 12 Type 1 workers can complete a task in 10 days, how many days would it take 6 type 1 and 10 type 2 workers to complete the same task?