If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?

In a triangle ABC, D is a point on BC such that $${AB\over AC}={BD\over DC}.$$ If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

Direction: Study the given pie chart carefully and answer the following questions accordingly. Given pie chart shows the percentage of players taking part in six different games in an event.

Total number of Players = 1800

What is the difference between the total number of players taking part in Badminton and Boxing together and the total number of players taking part in Golf and Tennis together?

Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case?

If p, q, r are all real numbers, then (p – q)³ + (q – r)³ + (r – p)³ is equal to 

The selling prices of two articles are equal. If the first article is sold at a profit of 20% and the second article is sold at a loss of 20%, what will be the overall loss percentage?

The volume of a cuboid is 2 times the volume of a cube. If the dimensions of the side are 9 cm by 8 cm and 6 cm, then the total surface area of the cube is

If m + n = 1, then what will be the value of m³ + n³ + 3mn?