| 1. | Machine X fills 2000 bottles in 5 hours and machine Y fills 2000 bottles in 6 hours, in how many hours can machine X and Y, working together at these constant rates, fill 2000 bottles? |
| a. | | 11/30 hrs |
| b. | | 30/11 hrs |
| c. | | 11/8 hrs |
| d. | | 8/11 hrs
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| 2. | Two sisters can complete a job in 6 hours, when working together at their respective constant rates. The elder sister alone can complete the job in 8 hours, in how many hours can the younger sister complete the job alone? |
| a. | | 12 hrs |
| b. | | 24 hrs |
| c. | | 48 hrs |
| d. | | 10 hrs
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| 3. | Anita can do a piece of work in 15 days and Sunita takes 12 days. But if they take the help of Kavita, they can finish their job in 5 days. Find in how many days Kavita alone can finish the job? |
| a. | | 20 days |
| b. | | 10 days |
| c. | | 12 days |
| d. | | 18 days
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| 4. | X takes thrice as much time as Y to sweep the floor and Z takes the same time as the time taken by X and Y, working together. When all three work together, they finish sweeping in 9 hours. Find the time taken by each of them to finish sweeping. |
| a. | | X = 72 hours, Y = 24 hours, Z = 18 hours |
| b. | | X = 24 hours, Y = 72 hours, Z = 18 hours |
| c. | | X = 18 hours, Y = 24 hours, Z = 72 hours |
| d. | | None of the above
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| 5. | A family of 8 members have the grocery stock for a month (30 days). After 2 weeks, a family of 8 relatives arrive. For how many more days the food will last? |
| a. | | 10 days |
| b. | | 16 days |
| c. | | 8 days |
| d. | | 12 days
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| 6. | Jason and Anita can complete a job in 9 days; Anita and Lily can complete the job in 6 days; Lily and Jason can complete the job in 12 days.Find the time taken by Jason to complete the job when working alone. |
| a. | | 24 days |
| b. | | 36 days |
| c. | | 72 days |
| d. | | 54 days
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| 7. | Wife takes twice as much time as Husband and thrice as much time as son to finish a job. If all are working together, they can complete the job in 5 hours. Find the time taken by each of them separately to finish the work. |
| a. | | Wife = 30 hours, Husband = 15 hours, Son = 10 hours |
| b. | | Wife = 18 hours, Husband = 9 hours, Son = 6 hours |
| c. | | Wife = 24 hours, Husband = 12 hours, Son = 8 hours |
| d. | | Wife = 36 hours, Husband = 18 hours, Son = 12 hours
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| 8. | Bruce would take 16 hours more to complete the job, individually, than working together with Berry. If Berry worked alone, she would take 9 hours more to complete the job than Bruce and Berry who worked together. What time would they take to complete the job, if both Bruce and Berry worked together? |
| a. | | 11 hours |
| b. | | 15 hours |
| c. | | 12 hours |
| d. | | 10 hours
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| 9. | Lee and Nee can do a piece of work in 20 days. Sweety and Tweety can complete the same work in 30 days. In how many days will Lee, Nee, Sweety and Tweety do it together? |
| a. | | 3 days |
| b. | | 8 days |
| c. | | 5 days |
| d. | | 4 days
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| 10. | A is twice as good in fencing a garden as B and takes 8 hours less than B takes. Find the time B would take for fencing the garden. |
| a. | | 10 hours |
| b. | | 16 hours |
| c. | | 12 hours |
| d. | | 18 hours
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| 11. | P, Q, R and S can do a piece of work in 32 days. If P and Q can do it together in 90 days, and R alone in 120 days. Find the time in which S alone can do it. |
| a. | | 82.7 days |
| b. | | 81.7 days |
| c. | | 80.7 days |
| d. | | 84.7 days
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| 12. | Tim can complete a piece of work in 12 days. If Lee works thrice as fast as Tim, find the time both of them take, to complete the work, together. |
| a. | | 4 days |
| b. | | 5 days |
| c. | | 6 days |
| d. | | 3 days
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