Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

A Man rows to a place 63 km far and comes back in 16 hours. He finds that he can row 18 km with the flow in the same time taken to row 14 km against the flow. What is the speed of the stream?

There is 10% loss if an article is sold at Rs. 270. Then the cost price of the article is

Due to 20% reduction in the price of wheat, a person can buy 10 kg more wheat than before for Rs 600, what is the price of wheat after the decrease in the price?

Directions: The following graph gives Sales, Expense and Capital of a company for a period of five years 1994 to 1998. Read the graph and answer the following questions.

In which year was the ratio of profits to capital the highest?

The value of sin²22° + Sin²68°+ Cot² 30° is:

The product of two numbers is 45 and their difference is 4. The sum of squares of the two numbers is

The ratio of officers to soldiers in a regiment before the war was 3 : 31. 6 officers and 22 soldiers were killed in the war and the ratio became 1:13. What was the number of officers in the regiment before the war?