Mock Test

Q1. What does it mean to be 'effective' in achieving a work goal?

Q2. A can complete a work in 25 days. B can do it in 35 days. C can do it in 45 days. They work together. If they use a new automated system that increases their combined daily output by 1/3rd of B's daily output, how many days will it take to complete the work?

Q3. A can complete a work in 18 days. B can complete it in 24 days. They start working together. After how many days should B leave the work so that A completes the remaining work in 10 days?

Q4. A, B, and C can do a work in 12, 15, and 20 days respectively. They start working together. A works for the entire duration. B works for the first 5 days and then leaves. C works for the last 4 days. If the total work is completed, how many days did A work?

Q5. A, B, and C can finish a project in 8, 12, and 16 days respectively. They start together. A works for 2 days and leaves. B works for the next 3 days and leaves. C works for the remaining part. What fraction of the work is done by A?

Q6. A can do a work in 30 days. B is 50% more efficient than A. C is 25% less efficient than B. They start working together. After 5 days, A leaves. The remaining work is completed by B and C. If C worked for the last 3 days, in how many days was the work completed?

Q7. A, B, and C can finish a work in 15, 20, and 24 days. They work together for 5 days. Then B leaves. A works for 3 more days and leaves. C completes the remaining work. What percentage of the work was done by A?

Q8. A, B, and C can complete a work in 10, 12, and 15 days respectively. They start working together. A leaves after 3 days. B and C continue working for 2 more days, after which B leaves. In how many days will C complete the remaining work?

Q9. A, B, and C can complete a work in 20 days. They start working together. A works for the entire duration. B works for 4/5 of the time A works, and C works for 3/4 of the time A works. If the total wage is ₹20000, find the share of A.

Q10. A, B, and C can complete a task individually in 10, 15, and 30 days respectively. They start working together. After 2 days, B leaves. After another 3 days, C also leaves. In how many days can A alone complete the remaining work?

Q11. A can do a work in 10 days. B is 20% less efficient than A. C is 50% more efficient than B. In how many days will A and C together complete the work?

Q12. A can do a work in 24 days. He works for 6 days and then leaves. B completes the remaining work in 16 days. In how many days can A and B together complete the work?

Q13. A, B, and C can finish a work in 20 days. A and B together can finish the work in 25 days. A and C together can finish the work in 30 days. In how many days can B alone finish the work?

Q14. A can do a work in 10 days. B can do it in 15 days. They work together for 5 days. The remaining work is done by C in 4 days. In how many days can C alone do the work?

Q15. A, B, and C can complete a work in 8, 12, and 16 days respectively. They start together. After 3 days, C leaves. A and B work for another 4 days. If the remaining work is completed by B, and B's efficiency is reduced by 10%, how many days will B take to complete it?

Q16. A can do a work in 20 days. B can do it in 25 days. They work together for 5 days. Then B leaves. In how many days will A complete the remaining work?

Q17. A can complete a work in 20 days. He works for 10 days and then B completes the remaining work in 10 days. In how many days can B complete the work alone?

Q18. A, B, and C can complete a work in 10, 20, and 30 days respectively. They start working together. A works for the entire duration. B works for half the duration A worked. C works for one-third the duration A worked. If the total work done is 60% of the total work, find the number of days A worked.

Q19. A can do a work in 10 days. B can do it in 12 days. C can do it in 15 days. They work together for 3 days. What fraction of the work is done?

Q20. A, B, and C can complete a work in 10, 15, and 18 days respectively. If they work on alternate days, starting with B, then C, then A, in how many days will the work be completed?