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In a 13 L mixture, the ratio of milk and water is 3 ∶ 2. If 3 L of this mixture is replaced by 3 L of milk, then what will be the ratio of milk and water in the newly formed mixture?

A closed cylinder with a base radius of 14 m and height of 21 m is to be made with a metallic sheet of width 20 m. What is the length of sheet required if wastage is negligible? [Use π = $\frac{22}{7}$]

79.989% of 599.99 + 32.99% of 400.009 - 48.062% of 149.98 = ? (approximately)

A swimmer, whose speed in 15 km/h in still water goes 30 km downstream and comes back. He takes 4 hours 30 minutes for the whole journey. What is the speed of the stream, in km/h?

Anu can type 40 pages of a book in 10 hours. Anu and Mohit together can type 270 pages in 54 hours. In what time (in hours) can Mohit alone type 20 pages?

The value of (1 + (1 - 2)^-1 + 2 - (1 - 2)^-2)² is:

The number that is to be added to 15% of 420 to have the sum as 25% of 356 is __________.

The ratio of income of A to that of B is 3 ∶ 5 . Expenditure of A is  of $\frac{7}{12}$his income and expenditure of B is $\frac{8}{15}$ of his income. The difference of their expenditures is Rs. 14,300. Find the income of A.

Sumanth invested a sum of money at r% rate of interest per annum, compounded annually. The sum invested amounted to Rs. 6,05,000 at the end of two years and to Rs. 8,05,255 at the end of five years. Find the value of r.

The value of $\frac{2^{2 k+1}-2^k \times 2^{k+2}}{2^k \times 2^{k+3}-2^2 \times 2^{2 k}}$ is: