Quantitative Aptitude For SSC CHSL and SSC CGL Exams

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)