Mock Test

Q1. A, B, and C can complete a work in 10, 15, and 20 days respectively. If they all work 8 hours a day, what is the ratio of work done by A in 1 day to B in 1 day to C in 1 day in man-seconds?

Q2. A, B, and C can finish a task in 12, 16, and 24 machine-days. They work together. If A works for 2/3rd of the time, B works for 1/2 of the time, and C works for 3/4 of the time, and the work done is 70%, in how many machine-days was the task completed?

Q3. A can do a work in 25 days. B can do it in 20 days. They start together, but B leaves after 10 days. In how many days will A complete the remaining work?

Q4. A completes 10% of a work in a day. C completes 20% of the work in a day. What percentage of work do they complete together in a day?

Q5. A and B can complete a work in 10 days. B and C can complete it in 15 days. A and C can complete it in 20 days. In how many days can A, B, and C together complete the work?

Q6. A can complete a work in 20 days. B is 50% as effective as A. In how many days can B complete the same work?

Q7. If a force of 10 N moves an object by 5 meters in the direction of the force, the work done is:

Q8. A, B and C can complete a work in 30, 40 and 60 days respectively. They start the work together. A leaves after 5 days and B leaves 4 days before the completion of the work. In how many days is the work completed?

Q9. A, B, and C can complete a work in 6, 8, and 12 days respectively. They start working together, but A leaves after 2 days. In how many more days will B and C complete the remaining work?

Q10. A, B, and C can complete a work in 12, 18, and 24 hours respectively. They start working together. A works for the entire duration. B works for x hours less than A. C works for y hours less than B. If the work done by B is 50% of the work done by A, and the work done by C is 75% of the work done by B, and the total work is completed in 15 hours, find the total hours worked by A.

Q11. A and B together can complete a work in 12 days. B and C together can complete it in 18 days. A and C together can complete it in 15 days. If A, B, and C work together, in how many days will they complete the work?

Q12. C can finish a work in 20 days. What is C's efficiency per day?

Q13. A and B can complete a work in 72 days. B and C can complete it in 120 days. A and C can complete it in 90 days. In how many days will A alone complete the work?

Q14. A, B, and C can do a work in 12, 15, and 20 days respectively. They work together for 2 days. Then C leaves. In how many more days will A and B complete the remaining work?

Q15. A, B, and C can complete a work in 15, 20, and 25 machine-minutes respectively. If they all start working together, but A works for only half the total time B works, and C works for one-third the total time A works, and the total work is completed in 10 machine-minutes, what is the ratio of the time worked by A, B, and C?

Q16. A, B, and C can complete a work in 6, 9, and 18 days respectively. They work together. How many days will it take to complete the work?

Q17. A, B, and C can complete a work in 8, 12, and 16 machine-days. They work together. If A works for 1/4th of the total time, B works for 1/3rd of the total time, and C works for 1/2 of the total time, and the work done is 50%, in how many machine-days was the work completed?

Q18. A can complete a work in 7 days. B can complete the same work in 14 days. If they work on alternate days, starting with A, in how many days will the work be completed?

Q19. A, B, and C can finish a work in 15, 20, and 25 man-days respectively. They start working together. A works for the entire duration. B works for the first 1/3 of the time, and C works for the last 2/5 of the time. If they complete the work in 20 days, what is the ratio of work done by A to B?

Q20. A can complete a work in 20 days. B can do it in 30 days. C can do it in 40 days. They work together. If they use a new drilling machine that increases their combined efficiency by 1/4th of A's daily output, how many days will it take to complete the work?