Solve the following and check with the answers given at the end.

Q1. One tank is filled in 6 min at the rate of 3cu ft/min, length of tank is 4 ft and the width is 1/2 of length, what is the depth of the tank?

Q2. Pipe A will fill the tank in 6hr and B in 4hr,if the pipes are opened alternatively, in which A is opened first, then how many Hours it will take to fill the tank?

Q3. A pipe A takes 4 hrs and B 6 hrs to fill a tank and a leakage empties the tank at the rate of 6 litres per hour. It takes 40 hrs to fill up the tank with all the pipes and the leakage working together. Find the volume of the tank?

Q4. If a square is formed by the diagonal of the square as an edge, what is the ratio between the area of new and old square?

Q5. 1/3 of girls , 1/2 of boys go to canteen .What factor and total number of classmates go to canteen?

Q6. An equilateral triangle of sides 3 inch each is given. How many equilateral triangles of side 1 inch can be formed from it?

Q7. Perimeter of front wheel =30, back wheel = 20. If front wheel revolves 240 times. How many revolutions will the back wheel take?

Q8 City A’s population is 68000, decreasing at a rate of 80 people per year. City B having population 42000 is increasing at a rate of 120 people per year. In how many years both the cities will have same population?

Q9. There are two candles of equal lengths and of different thickness. The thicker one lasts of six hours. The thinner 2 hours less than the thicker one. Ramesh lights the two candles at the same time. When he went to bed he saw the thicker one is twice the length of the thinner one. How long ago did Ramesh light the two candles .

Q10. A worker is paid Rs.20/- for a full days work. He works 1,1/3,2/3,1/8.3/4 days in a week. What is the total amount paid for that worker ?

ANSWERS

Ans 1: 3 ft 7.5 inches
Ans 2: 5hr
Ans 3: 19.4594
Ans 4: 2
Ans 5: Cannot be determined.
Ans 6: 9
Ans 7: 360 times
Ans 8: 130 years
Ans 9: 3 hours.
Ans 10: 57.50