**Q1. 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 Cand 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

**Q2. 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

**Q3. A container has 30 litres of alcohol. If 3 liters of alcohol is replaced by 3 liters of water and this operation is repeated two times more, then what will be the quantity of alcohol in the new mixture?**

(a) 24 liters

(b) 21 liters

(c) 21.87 liters

(d) 24.3 liters

(e) 21.3 liters

**Q4. A tank contains 384 liters mixture of milk & water in the ratio of 15 : 17. If X liters of mixture taken out and (X – 14) liters of milk & (X – 34) liters of water added in remaining mixture so ratio of milk & water becomes equal. Find quantity of milk in original mixture is what percent of total final mixture?**

(a) 40%

(b) 35%

(c) 45%

(d) 50%

(e) 25%

**Q5. There pipes X, Y and Z can fill a tank in 12 minutes, 15 minutes and 18 minutes respectively. Only pipe Y is opened for the first 2.5 min. and then pipe Z is also opened. After 3.5 min. more pipe X is also opened. Find the approximate time taken to fill the tank?**

(a) 6 min

(b) 8 min

(c) 10 min

(d) 5 min

(e) 7 min

**Q6. Pipe P₁ can fill ⅗ th of the tank in 9 minutes. There are two more pipes P₂ and P₃, in which P₂ is 50% more efficient than P₁ and P₃ pipe is 5/9 th as efficient as P₂. Then calculate the time taken by all the three pipes to fill that tank when opened together ?**

(a) 5 min

(b) 6 min

(c) 7 ½ min

(d) 3 ½ min

(e) 4 ½ min

**Q7. A tank has four inlet pipes. Through the first three inlets pipes opened together, tank can be filled in 12 min and through the last three inlets, tank can be filled in 15 minutes and through the first and last inlets, tank can be filled in 24 minutes. Then find the time taken by last pipe to fill half of the tank ?**

(a) 80 min

(b) 60 min

(c) 40 min

(d) 20 min

(e) 30 min

**Q8. 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

**Q9. 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

**Q10. Alloy-A contains zinc and copper in the ratio of 11 : 9 and alloy-B contains copper, zinc and lead in the ratio of 11 : 7 : 12. 40% of alloy-A and 50% of alloy-B are mixed to form alloy-C. If amount of copper in alloy-C is 28 grams more than amount of zinc in alloy-C and amount of lead in alloy-C is 108 grams, then find difference between initial quantity of alloy-A and alloy-B.**

(a) 340 grams

(b) 300 grams

(c) 220 grams

(d) 400 grams

(e) 360 grams

**Q11. There are two container A and B. A contains mixture of milk and water in the ratio 3:Y and B contains 75 L of pure water only. 75 L of mixture from A is taken out and mixed in B so that final ratio of milk and water in the B is 3 : 7. Find value of Y.**

(a) 7

(b) 5

(c) 1

(d) 2

(e) 4

**Q12. A and B are two alloys which were made by mixing iron and copper in the ratio of 3 : 5 and 5 : 9 respectively. If 60 grams of alloy A and X grams of alloy B are melted and mixed to form another alloy C, what is the value of X if the ratio of iron and copper in the new alloy is 35 : 61 ?**

(a) 70 gms

(b) 56 gms

(c) 98 gms

(d) 84 gms

(e) 112 gms

**Q13. There are three varieties of sugar with their quantity in the ratio of 3 : 4 : 5. If 9 kg of first variety and 4 kg of second variety are added to their respective quantity and x kg of 3rd type is removed from it, then final ratio becomes 9 : 10 : 10. Find the sum of initial quantities of these varieties.**

(a) 120 kg

(b) 96 kg

(c) 84 kg

(d) 108 kg

(e) None of these

**Q14. Two types of ornaments are prepared by using gold and copper in two different proportions. In first ornaments, 6-gram gold is mixed with 5-gram copper and in second ornament 5-gram gold is mixed with 3-gram copper. If total quantity of gold and copper is122 gram and 90 grams respectively then how many ornaments are prepared of second type? (total gold and copper are used)**

(a) 15

(b) 10

(c) 7

(d) 20

(e) 9

**Q15. 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.

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