Table of Contents

**Q1. A pipe can fill a tank in 36 minutes & another pipe can fill it in 48 minutes, but a third Pipe can empty it in 18 minutes. The first two pipes are kept open for 16 minutes in the beginning then the third Pipe is also opened. In what time is the cistern emptied?**

(a) 120 min

(b) 80 min

(c) 96 min

(d) 112 min

(e) 144 min

**Q2. There are three pipes-A, B & C. A & B are filling pipes and C is emptying pipe. Pipe-A alone can fill the tank in 1 hour & pipe-C is 20% more efficient than pipe-A. If pipe-A & B working together fill the tank in 75/2 minutes, then find in how much time pipe-A, B & C working together can fill the tank?**

(a) 6 hours

(b) 4.5 hours

(c) 2.5 hours

(d) 3 hours

(e) 5 hours

**Q3. Two pipes P and Q alone can fill a tank in 24 min and 30 min respectively and a pipe R alone can empty the tank by throwing out 8 gallons in 2 minutes. All the three pipes working together can fill the tank in 20 minutes. Find the capacity of the tank?**

(a) 80 gallons

(b) 160 gallons

(c) 320 gallons

(d) 240 gallons

(e) None of these

**Q4. There are four pipes connected to a tank – A, B, C and D. A & D are inlet pipes and B & C are outlet pipes. When all four pipes are opened together, then the tank will be filled in 40 minutes. When B & D are opened together, then the tank will be filled in 60 minutes. If D is twice as efficient than C and A is 25% more efficient than C, then find in how much time the tank will be filled when A & C are opened together?**

(a) 120 minutes

(b) 100 minutes

(c) 90 minutes

(d) 70 minutes

(e) None of the above.

**Q5. Two pipes P and Q can fill tank A in 28 minutes and 56 minutes respectively and empty pipe M can empty the tank in 42 minutes. Tank A have the capacity of 168 liters. If all three pipes opened in tank B for (x – 24) minutes together they filled 90 liter of the tank which is 25% of the quantity of tank B. Find in x minutes what portion of tank B filled, if all pipe P and Q and M opened alternatively in each minute starting with P, followed by Q and M respectively?
**(a) 5/36

(b) 7/36

(c) 9/38

(d) 7/38

(e) 7/39

**Q6. There are 3 pipes A, B and C. A can fill a bucket in 8 minutes. C can fill 18/5 buckets in 18 minutes & pipe B can fill 3/20 buckets in a minute. These pipes are opened in a tank alternatively, 1 minute each starting from A, then C, then B. If tank is filled after 2 hours, then find the volume of tank if the capacity of bucket is 5 liters.**

(a) 88 liters

(b) 95 liters

(c) 90 liters

(d) 105 liters

(e) 92 liters

**Q7. Pipe A can fill a tank in 45 hr, pipe B is 50% more efficient than A and pipe C can fill the same tank in 7.5 hr less than B. A and B opened together after X hr both pipe closed and pipe C filled remaining tank in (X + 9) hr, if the ratio between tank filled by (A + B) together to tank filled by pipe C is 1 : 2. Find the value of X ?**

(a) 2 hr

(b) 4 hr

(c) 12 hr

(d) 6 hr

(e) 8 hr

**Q8. A milkman mixed 32 liter of water in 48 liter of milk and sold 30 liter of mixture. Then he again added some milk and water whose quantity is in the ratio 5 : 4 in the remaining mixture so that ratio of water and milk become 7 : 10. Now he sell 25% of mixture, then find the amount of milk in the rest of the mixture.**

(a) 30 liter

(b) 21 liter

(c) 15 liter

(d) 22.5 liter

(e) 24 liter

**Q10. Two Beaker A and B having mixture of milk and water in ratio of 3 : 2 and 2 : 3 respectively. 20 liter of mixture is taken out from A and mix in beaker B, due to which new ratio of milk and water in B becomes 11 : 14 and volume of beaker B become equal to initial volume of A. Now, ‘x’ liter mixture is taken out from B and mix in A and ratio of milk and water become 7 : 6 in beaker A. Find the value of ‘x’.**

(a) 20

(b) 25

(c) 50

(d) 30

(e) 40

**Q10. A vessel contains X liters of milk. 4 liters of milk is replaced by water completely and the ratio of milk to water is 4 : 1 in the resulting mixture. Then, again 4 liters of the solution is replaced by water completely and the ratio of milk to water in the resulting mixture becomes 16 : 9. Then, find the value of X.**

(a) 22 liters

(b) 24 liters

(c) 15 liters

(d) 28 liters

(e) None of the above.

**Q11. Glass ‘A’ contains 400 ml sprite & glass ‘B’ contains 220 ml coke. 4X ml sprite taken out from ‘A’ and mixed in ‘B’ and then 3X ml mixture from ‘B’ taken out and poured into a vacant glass ‘C’. If ratio of coke to sprite in glass C is 11 : 4, then find remaining quantity of sprite in glass ‘B’?**

(a) 240 ml

(b) 60 ml

(c) 64 ml

(d) 80 ml

(e) 48 ml

**Q12. Vessel A contains mixture of milk, water and wine in the ratio 2 : 3 : 5 and vessel B contains mixture of milk and wine in the ratio 3 : 5. If quantity of milk in vessel A is equal to quantity of milk in vessel B and sum of water in A and wine in B is 95L then find the total quantity of mixture in vessel A.**

(a) 75L

(b) 100 L

(c) 125 L

(d) 135 L

(e) 150 L

**Q13. A vessel contains mixture of tin and copper in the ratio of 2 : 3. Some amount of mixture is taken out and 28 gm copper is added to the remaining mixture so that amount of copper becomes 66⅔% in the new mixture. If 12½% of initial mixture is 22.5 gm then, find what amount of tin was taken out from the initial mixture?**

(a) 16gm

(b) 14gm

(c) 12gm

(d) 10gm

(e) 18gm

**Q14. 48 l water mixed in a container, which contain 120 l milk. 42 l mixture from container taken out and some quantity of water and milk mixed in the ratio of 2 : 1. If in the resulting mixture ratio of milk and water is 11 : 6, then find what quantity of water was added?**

(a) 12 l

(b) 10 l

(c) 24 l

(d) 18 l

(e) 28 l

**Q15. There are three vessels A , B and C, Vessel A and B filled with mixture of milk and Water in the ratio of 5 : 4 and 5 : 3 respectively. 25% of mixture from vessel A taken out and mixed in vessel C, which contains 45 l pure milk. If in resulting mixture milk is 250% more than water in vessel C and initial quantity of mixture in vessel B is 20 l less than that of mixture in vessel A, then find the quantity of milk in vessel B?**

(a) 180 liters

(b) 120 liters

(c) 80 liters

(d) 100 liters

(e) 140 liters

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