List of top Quantitative Aptitude Questions on Time & Work

A and B can complete a work in 12 days and 18 days respectively. They start together, but A leaves after 4 days. How many more days will B take to finish the remaining work?
A piece of work can be done by Ram in 10 days. If Mohan joined him and both together finished the work in 6 days, then the ratio of their one day work is:
45 men can complete a work in 16 days. After working for some days, 30 more men joined the work. As a result, work now finished in 6 days. How many days after the commencement of the work did the 30 persons join?
If 'A' and 'B' can do a piece of work in 8 days, while 'A' alone can do it in 12 days. In how many days can 'B' alone do the same work?
2 men and 5 boys can finish a piece of work in 4 days, while 3 men and 6 boys can finish it in 3 days. The time taken by one man alone to finish the work is:
A tank can be filled by two taps A and B in 12 hours separately. The full tank can be emptied by a third tap in 8 hours. If all the taps are turned on at the same time, then the time taken to fill the empty tank will be:
A tank is fitted with pipes, some filling it and the rest draining it. All filling pipes fill at the same rate, and all draining pipes drain at the same rate. The empty tank gets completely filled in 6 hours when 6 filling and 5 draining pipes are on, but this time becomes 60 hours when 5 filling and 6 draining pipes are on. In how many hours will the empty tank get completely filled when one draining and two filling pipes are on?
Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is
A tank is emptied everyday at a fixed time point. Immediately thereafter, either pump A or pump B or both start working until the tank is full. On Monday, A alone completed ?lling the tank at 8 pm. On Tuesday, B alone completed filling the tank at 6 pm. On Wednesday, A alone worked till 5 pm, and then B worked alone from 5 pm to 7 pm, to fill the tank. At what time was the tank ?lled on Thursday if both pumps were used simultaneously all along?
A water tank has inlets of two types A and B. All inlets of type A when open, bring in water at the same rate. All inlets of type B, when open, bring in water at the same rate. The empty tank is completely filled in 30 minutes if 10 inlets of type A and 45 inlets of type B are open, and in 1 hour if 8 inlets of type A and 18 inlets of type B are open. In how many minutes will the empty tank get completely filled if 7 inlets of type A and 27 inlets of type B are open?
Ramesh and Ganesh can together complete a work in 16 days. After seven days of working together, Ramesh got sick and his efficiency fell by 30%. As a result, they completed the work in 17 days instead of 16 days. If Ganesh had worked alone after Ramesh got sick, in how many days would he have completed the remaining work?
A person can complete a job in 120 days. He works alone on Day 1. On Day 2, he is joined by another person who also can complete the job in exactly 120 days. On Day 3, they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?
A and B can complete a work in 12 days, B and C in 15 days, and A and C in 20 days. How long will A alone take to complete the work?
A pipe fills a tank in 8 hours, another empties it in 12 hours. If both are opened, how long to fill?
A can complete a task in 15 days, B in 20 days. Together, how many days?

What is the value of $2^{100} \mod 5$? 
 

A pipe fills a tank in 6 hours. Another pipe fills it in 8 hours. How long to fill the tank together?
A pendulum strikes 7 times in 4 seconds, and another pendulum strikes 5 times in 3 seconds. If both pendulums start striking at the same time, how many clear strikes can be listened in one minute?
P completes \( \frac{13}{20} \) of a work in 9 days. Then he completes the remaining work with the help of Q in 4 days. The time required for P and Q together to complete the entire work is:
B can do a work in 48 days. If A starts the work and after 10 days he leaves, then B alone finishes the remaining work in 42 days. In how many days A and B together will finish the work?