Question
A sphere of radius 21 cm is melted and recast to form
βnβ numbers of smaller cuboids of dimension 21 cm Γ 11 cm Γ 7 cm. Find the value of βnβ.Solution
According to question;
(4/3) Γ (22/7) Γ 21 Γ 21 Γ 21 = n Γ 21 Γ 11 Γ 7
Or, n = 24
100 litres of mixture contains water and milk in the ratio 2:3 respectively. If 20 litres of the mixture is replaced by same quantity of water, then fin...
In a liquid solution, there is 300 ml of alcohol, which makes up 60% of the total volume. After removing 60 ml of the mixture, 48 ml of water is added. ...
A mixture weighing 600 grams consists of sand and cement in a ratio of 3:7. If an additional 20 grams of sand and 80 grams of cement are added to it, wh...
A solution contains alcohol and water in the ratio 5:2. If 25% of the solution is replaced with the same amount of water, what will be the new ratio of ...
- A drum is filled with 840 litres of syrup and water in the ratio 2:5. If βkβ% of the total solution is withdrawn and the water taken out is 210 litres,...
- Alloy βPβ has aluminium and nickel in a 7:9 ratio. Alloy βQβ is made up of nickel and zinc in a 4:6 ratio. If 48 grams of βPβ and 60 grams of οΏ½...
640 litres of mixture βAβ contains milk and water in it. If mixture βAβ is mixed with 560 litres of mixture βBβ which contains water and sal...
- In a 120-litre chemical mixture, the chemicals A and B are in the ratio 5:7. How much of chemical A must be added to make the ratio 7:7 (i.e., equal amount...
- 48 grams of an alloy 'A' containing only gold, silver and copper in ratio 1:1:4 respectively is mixed with 30 grams of alloy 'B' which contains only silver...
One alloy of steel contains 74% Iron and 26% carbon. Another alloy contains 81% Iron and 12% carbon. Later, they are mixed, so that the mixture contains...