The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p₁ , p₂ and p₃ . The length of each side of the triangle is

The mode of the following data is __________.

13,15,31,12,27,13,27,30,27,28 and16

A pole 23 m long reaches a window which is 3 m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 is m high. What is the width (in m) of the street? 

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 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:

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?

In ΔABC, if G is the centroid and AD is a median with length 9 cm, then the length of AG is: