**1. The sum of two numbers is 10 and their product is 20. What will be the sum of their reciprocals?**

(a) 1

(b) 2

(c) 1/2

(d) 1/10

**2. The HCF and LCM of the two numbers x and y are respectively 3 and 105. If x+y=36, then 1/x+1/y is equal to**

(a) 35

(b) 3/5

(c) 4/35

(d) 1/35

**3. A cistern has two pipes. One can fill it with water in 8 h and the other can empty it in 5 h. In How many hours will the cistern be emptied if both the pipes are opened together when 3/4 of the cistern is already full of water?**

(a) 3 1/3 h

(b) 6 h

(c) 10 h

(d) 13 1/3 hr

**4. A large tanker can be filled by two pipes A and B is 60 min and 40 min respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?**

(a) 15 min

(b) 20 min

(c) 27.5 min

(d) 30 min

**5. Raman bought a geyser at 9/10 th of its marked price and sold it at 8% more than its marked price. His gain per cent is**

(a) 8

(b) 10

(c) 18

(d) 20

**6. The ratio between two number is 3 : 4. If each number is increased by 6, then ratio becomes 4 : 5. The difference between the numbers is**

(a) 1

(b) 3

(c) 6

(d) 8

**7. In a school, the ratio of boys and girls is 4 : 5. When 100 girls leave the school, the ratio becomes 6 : 7. How many boys are there in the school?**

(a) 1300

(b) 1500

(c) 1600

(d) None of these

**8. Two vessels A and B contain milk and water in the ratio 7 : 5 and 17 : 7, respectively. In what ratio mixtures from two vessels should be mixed to get a new mixture containing milk and water in the ratio 5 : 3?**

(a) 1 : 2

(b) 2 : 1

(c) 2 : 3

(d) 3: 2

**9. A shopkeeper has 100 kg of tea. He sells a part of it at 20% profit and the rest at 5% loss. If his overall profit is 10%, find the quantity for each part?**

(a) 20 kg

(b) 25 kg

(c) 30 kg

(d) 40 kg

**10. A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between rate in still water and rate in current?**

(a) 1 : 2

(b) 3 : 1

(c) 2 : 1

(d) 1 : 3

**Answers Key**

**1.(c)**

**2.(c)**

**3.(c)**

**4.(d)**

**5.(d)**

**6.(c)**

**7.(d)**

**8.(b)**

**9.(d)**

**10.(b)**