The difference between the greatest and the least four-digit numbers that begins with 3 and ends with 5 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.

Which of the following simplification value of $$ {(secA-cosA)^{2}}+{(cosecA-sinA)^{2}}-{(cotA-tanA)^{2}}$$ ?

The greatest number that can be subtracted from 10000 so that the remainder may be divisible by 32, 36, 48 and 54 is:

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm² , then what will be the volume of prism?

A hexagon is inscribed in a circle of radius 14 cm, three of its alternates sides are 22 cm and each and other sides are equal find the length of other three sides?

Rahul purchased two different kinds of alcohol. In the first mixture the ratio of alcohol to water is 3:4 and in the second mixture it  is 5:6. If he mixes the two given mixture and makes a third mixture of 18 litres in which the ratio of alcohol to water is 4:5, the quantity of first mixture (whose ratio is 3:4) is required to make the 18 litres of the third kind of mixture is:

If a(tanθ+cotθ)=1, sinθ+cosθ=b and 0°<θ<90°, then the relation between a and b.