The mean proportional between 16 and 12.25 is:

Nine years ago from now, Akash was 9 times as old as Prakash. After 9 years from now, he will be 3 times as old as Prakash will then be. The present age of Akash (in years) is:

G and H started a business with investments of ₹7000 and ₹9000. After 4 months, G withdrew ₹2000 and H withdrew ₹3000. If the profit at the end of the year is ₹3800, how much does G receive?

In an exam, marks scored by 16 students of section A (out of 50) are 33, 41, 56, 51, 53, 46, 49, 41, 45, 56, 51, 49, 46, 41, 53, 33 and marks scored by 13 students of section B (out of 50) are 47, 54, 42, 50, 47, 39, 42, 52, 56, 49, 54, 39, 47. Calculate the difference between the mode of section B and section A.

Find the value of \(\frac{2 + \tan^2\theta + \cot^2\theta}{\sec\theta\,\mathrm{cosec}\,\theta}\).

Three friends, Arjun, Kabir, and Neha, can paint a fence in 12 hours, 6 hours, and 4 hours, respectively. If they work together, how long will they take to paint the fence?

The marked price of an item is ₹5,000. A shopkeeper offers two successive discounts of 10% and x% on the marked price. If the ratio of the marked price to the final selling price is 25 : 19, what is the value of x? (Rounded off to the nearest integer)

In a rectangle, one diagonal is inclined to one of its sides at 35°. Find the measure of the acute angle between its two diagonals.

If a square has a side of (10x - 6) cm, then the area of the square (in cm²) is: