If a man cycles at 10 km/h, then he arrives at the certain place at 1 pm. If he cycles 15 km/h, he will arrive at the same place at 11 am. At what speed must he cycle to get there at noon?

The total number of integer pairs (x,y) satisfying the equation x+y=xy is ____.

Section 304 A of the Indian Penal Code is related to which among the following?

If the sum of the first 11 terms of an arithmetic progression equals that of the first 19 terms, then what is the sum of the first 30 terms?

Rajeev failed in the examination because none of her answers were _______ to the questions asked.

The average of five natural numbers is 150. A particular number among the five exceeds another by 100. The rest three numbers lie between these two numbers and they are equal. How many different values can the largest number among the five take?

A contractor agreed to finish a piece of work in 150 days. He employed 75 men and made them work for 8 hours per day. However, after 90 days, he realized that only 2/7th of the work was completed. How many more men would he need to employ to complete the work on time if he intended to make everybody work for 10 hours per day henceforth?

In which of the following states, the Sharavati Project is located?

A quadrilateral is formed by the lines x = 0, y = 0, x + y = 1 and 6x + y = 3. What is the equation of the diagonal of the quadrilateral that passes through the origin?

In which of the following states, the Balimela Project is located?