Find the value of x:
2³ × 3⁴ × 1080 ÷ 15 = 6^x

The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is 

Vinayak bought an item and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs.390 more, he would have had a profit of 20%, find the cost price of item.

if a³b = abc = 180, a, b, c are positive integers, then the value of c is 

The following pie-chart shows the monthly expenditure of family on various items. If the family spends Rs. 825 on clothing answer the question

The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses of on saving and rent is 

A completes $$ {7\over 10}$$ of work in 15 days, then he completes the remaining work with the help of B in 4 days. The time required for A and B together to complete the entire work is

The speed of the motorboat in still water is 45 kmph. If the motorboat travels 80 km along the stream in 1 hour 20 minutes, then the time taken by it to cover the same distance against the stream will be: 

5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it?