**Q1. Ritu and Anu together can do a work in 16 days where as Anu alone can do it in 24 days. If Neha alone can do the same work in 30 days, then find the ratio of efficiency of Neha to efficiency of Ritu?**

(a) 5 : 8

(b) 8 : 5

(c) 5 : 3

(d) 2 : 3

(e) 7 : 8

**Q2. A is an alloy of two types of metals x and y and B is an alloy of two types of metals y and z. Some quantity of B is mixed with 30 gms of A to form another alloy which has 55% of y metal concentration. Find the quantity of B taken if an alloy A has 60% of y concentration and B has 40% of y concentration.**

(a) 15 gm

(b) 12.5 gm

(c) 10 gm

(d) 20 gm

(e) 7½ gm

**Q3. A tank is normally filled in 15 hr but due to a leak in it, it takes 3 hrs more to be filled.**

**if the tank is completely filled, then the leak will empty it in ?(in hrs)**

(a) 72

(b) 84

(c) 90

(d) 60

(e) 75

**Q4. If 10 girls and 11 boys together can do a of work in 5 days and 4 girls and 14 boys together can do the same work in 8½ days. Then find the ratio of efficiency of a boy to a girl?**

(a) 7 : 2

(b) 2 : 7

(c) 4 : 1

(d) 1 : 4

(e) 3 : 11

**Q5. A goldsmith has an alloy of gold and copper in the ratio of 11 : 5 by weight. He sold 12½% of alloy to a person and add some copper to it so that the ratio becomes 7 : 5 (gold : copper). Find the new quantity of copper added. If initial weight of alloy is 16 gm. (in gm)**

(a) 2.5 gm

(b) 1.5 gm

(c) 2.0 gm

(d) 3.0 gm

(e) 1.6 gm

**Q6. P and R working together can finish a work in 10 days. If P works for 4 days then remaining work is completed in 15 days by R. Q is 2/3rd as efficient as R. Find the time taken by Q and R to do the same work if they are working together.**

(a) 10 days

(b) 11 days

(c) 9½ days

(d) 12 days

(e) 15 days

**Q7. Abhi does a work for 4 days & left, the remaining work is completed by Satish in 18 days. If Abhi does that work for 6 days then the remaining work will be completed by Satish in 12 days. Then find in how many days Abhi alone can complete the whole work?**

(a) 10 days

(b) 12 days

(c) 16 days

(d) 20 days

(e) 24 days

**Q8. Mona and Sunny together can complete a work in 18 days. Where as Sunny and Bhavya together can complete the same work in 15 days. If Bhavya is 50% more efficient than Mona then find the time taken by Mona alone to complete the whole work.**

(a) 36 days

(b) 42 days

(c) 45 days

(d) 24 days

(e) 48 days

**Q9. ‘A’ is 100% more efficient than ‘B’. B takes 50% more time than ‘C’ to complete the work alone. If ‘C’ take 6 days more than ‘A’ to complete the work alone. Then in how many days, ‘A’, ‘B’ and ‘C’ all together can complete the same work?**

(a) 8 days

(b) 9 days

(c) 12 days

(d) 15 days

(e) 18 days

**Q10. Two vessels contain a mixture of milk and water. In the first vessel, the ratio of milk to water is 3 : 2 and in the second vessel the ratio is 5 : 1. A 55 litre vessel is filled from these two vessels such that the resulting mixture contain milk and water in the ratio of 8 : 3. How many litres are taken from the second vessel ?**

(a) 36 lit

(b) 60 lit

(c) 40 lit

(d) 30 lit

(e) 42 lit

**Q12. Sandy has a vessel of capacity 16 litres full of mixture of wine & water and the percentage of wine in mixture is 75%. If sandy replaced some quantities of mixture with pure wine then the vessel contained only 10% of water. Quantity of water removed from the vessel is what percent of the capacity of vessel?**

(a) 22%

(b) 15%

(c) 25%

(d) 18%

(e) 20%

**Q14. A goldsmith mixes two types of alloys. He takes 6 kg of the first alloy containing gold and silver in the ratio 3 : 2 and 18 kg of the second alloy containing gold and silver in the ratio 2 : 3. What is the ratio of gold and silver in the final alloy mixture ?**

(a) 9 : 11

(b) 11 : 9

(c) 9 : 7

(d) 7 : 9

(e) 3 : 4

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