Q1. A and B could do a piece of work in 12 days and 20 days respectively. Find the number of days taken by them to complete 2/3rd of the work together. (in days)
(a)10
(b)2
(c)5
(d)8
(e)12
Q2. A work is completed by P and Q together in 30 days. When a third person R joined them, then the work is completed in 18 days. In how many days, the work is completed by R alone? (in days)
(a) 25
(b) 20
(c) 45
(d) 30
(e) 15
Q3. The pipe A could fill a tank in 24 hours and the ratio of efficiency of A to B is 2:3. Find the total time taken by both of them together to fill half quantity of the tank completely. (in hours)
(a)12.8
(b)10.2
(c)12.4
(d)4.8
(e)9.6
Q4. A tank is normally filled in 30 hours but due to a leak in it, it takes 6 hours more to be filled. If the tank is completely filled, then the leak will empty it in? (in hours)
(a) 60
(b) 150
(c) 90
(d) 120
(e) 180
Q5. Anil & Bhuvan can do a work in 18 days when working together while Bhuvan alone does it in 30 days. In what time the work will be finished if each Anil & Bhuvan completes half of the work? (in days)
(a) 32.5
(b) 37.5
(c) 28.5
(d) 22.5
(e) 42
Q6. If pipe A alone and pipe B alone can fill a tank in 40 min and 60 min respectively and pipe C alone can empty it in 20 min. If the tank is completely filled, then find the time taken to empty the tank if all the three pipes are opened simultaneously?
(a) 120 min
(b) 80 min
(c) 100 min
(d) 60 min
(e) 40 min
Q7. A can complete a work in 30 days while B can complete the same work in 24 days. With the help of C, the work is completed in 12 days. In how many days can C alone complete the work? (in days)
(a) 80
(b) 120
(c) 132
(d) 60
(e) 144
Q8. P and Q could do a piece of work in 10 days and 12 days respectively. If P, Q and R could do that same work in 4 days, then find the number of days taken by P and R working together to finish the same work? (in days)
(a)6
(b)12
(c)8
(d)4
(e)16
Q9. There are two filling pipes X and Y, if X fills the tank in 20 hours and Y is 300% more efficient than X, then find the time taken by both pipes to completely fill the tank? (in hours)
(a)12
(b)16
(c)4
(d)8
(e)18
Q10. Anshu completes 25% of work in 5 days but due to lack of time, Himanshu joins Anshu and they together complete the remaining work in 3 days. Find the number of days Himanshu would take to complete the same work alone? (in days)
(a)2.5
(b)12
(c)5
(d)8
(e)10
Q11. Tap P can fill a tank in 6 minutes and tap Q can fill the same tank is 7.5 minutes. Another tap R can empty the tank in 5 minutes. If tap P and tap Q are opened & after 2 minutes tap R is also opened. Then find the total time taken to fill the tank completely?
(a) 6 minutes
(b) 4 minutes
(c) 2 minutes
(d)12 minutes
(e)8 minutes
Q12. Rahul, Deepak and Ayush could do a piece of work in 24, 48 and 96 days respectively. Find the number of days taken by Rahul to complete the work if Deepak and Ayush too work on every third day? (in days)
(a)20 ¼
(b)22 ½
(c)18 ¼
(d)19 ½
(e)22 ¾
Q13. Meena is 75% less efficient than Hema. Veena and Hema working together can complete a task in 8 days and Veena is half efficient as Hema, then find in how many days Meena alone can complete the task with 250% of his original efficiency?
(a) 19.2 days
(b) 21.1 days
(c) 22.4 days
(d) 24.5 days
(e) 32.6 days
Q14. Pallavi and Himanshi undertook to do a piece of work for Rs.10800. Pallavi alone could it in 30 days and Himanshi alone could it in 40 days. With the help of Kritya, they finished the work in 12 days. Then what is the Kritya’s share in the wage when all work together?
(a) Rs 4840
(b) Rs 3240
(c) Rs 2160
(d) Rs 5420
(e) Rs 1860
Q15. A water tank normally takes 18 hours to be filled by a tap but because of the leak, it takes another 6 hours. In how many hours will the leak empty a full water tank?
(a) 72 hours
(b) 144 hours
(c) 60 hours
(d) 90 hours
(e) 56 hours
Solutions
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