Expression of a variable from the formula - practice problems - page 3 of 139
Number of problems found: 2771
- A town 3
A town with 12,000 people has been growing at a rate of 2.5% per year. How many years ago was the population 8,000?
- An iron rod
If 22.5 meters of a uniform iron rod weighs 85.5 kg, what will the length of 22.8 kilograms of the same rod?
- A sum 6
A sum at simple interest of 4% per annum amounts to 3120 USD in 5 years. Find the sum.
- Move the average
If the average of 5 numbers is 20, the number which should be added to first number to make the average becomes 30?
- South and then east
William walks 16 m south from his house and turns east to walk 63 m to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?
- Average age 4
The average age of 31 people in a group is 19. If one person is reduced to 18, the average age becomes 18. Find the age of the reducing person.
- Binary series
The 4th term of a G.P. is 16 and the 7th term is 128 . Find the first term and common ratio of the series.
- Split 207
Split number 207 into three parts such that these are in the arithmetic progression (AP) and the product of two smaller parts is 4623.
- Spheres to cone
Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.
- A mobile
A mobile phone and a tablet were sold at a profit of 10% and a loss of 8% respectively . If the cost price of the mobile is 1.5 times that of the tablet what is the overall percentage earned by selling both the articles?
- Stocks and bonds
Mr. Cash invested $80000 in various stocks and bonds. He earned a 7% dividend on his stocks and 5% interest on his bonds, for a one year profit (both stocks and bonds) of $4,900. How much did Mr. cash invest in bonds?
- The square - midpoints
The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD.
- Work men and women
Two men and 1 woman can do a piece of work in 14 days, while 4 women and 2 men can do the same work in 8 days. If a man get 90 euros/day, what should be the wages/day of a woman?
- Ones cube
Find the volume of a cube whose total surface area is 6 m².
- My grandfather
My grandfather was 8 times older to me 16 years ago. He would be 3 times of my age 8 years from now. What was the ratio of our ages 8 years ago?
- Two trains 11
Two trains running in opposite direction cross a man standing on the platform in 27 seconds and 17 seconds and they cross each other in 23 seconds. Find the ratio of their speeds.
- The speeds
The speeds of three cars are in the ratio 2:3:4. What is the ratio of the times taken by these cars to travel the same distance?
- One combine
One combine harvester can harvest a field of corn in 4.5 hours. Another harvester can harvest the same field in 3 hrs. If the farmer uses the two harvesters at the same time. How long will it take to harvest the entire field?
- A tank 2
A tank can be filled by a pipe A in 3 hours and by pipe B in 5 hours. When the tank is full, it can be drained by pipe C in 4 hours. If the tank is initially empty and all three pipes are open, how many hours will it take to fill up the tank?
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