In the given figure, ∠QRU = 72°, ∠TRS = 15° and ∠PSR = 95°, then what is the value (in degrees) of ∠PQR ?

If the right prism having trapezium base, whose parallel side are 13cm and 15cm respectively and the distance between them is 12cm. If the volume of the prism is 2150.4cm^z, then find the height of the prism.

Direction : The table given below represents number of bikes of five different brands sold from 2001- 2005, with the help of data given in the table, answer the following questions.

In how many years the increase of selling is greater than 10% for any brand?

What is the greatest common factor of 2³ × 7² and 2⁵ × 3¹?

Simplify  $$ ^{3}\sqrt{-2197} × ^{3}\sqrt{{-125}} \ ÷ ^{3}\sqrt{27\over512}$$.

A square and an equilateral triangle are of the same perimeter. If the diagonal of the square is $$ {12\sqrt{2}}$$ cm long, then the area of the triangle is.

A seller uses 920 gm in place of one kg to sell his goods. When he sells his articles at 15% gain on cost price, the actual percentage of profit is :

If S denotes the area of the curved surface of a right circular cone of height h and semi vertical angle ∝ then S equals