In a trapezoid of area 96 cm^{2}, the length of two parallel sides are in ratio 5:3. If the height of trapezoid is 6 cm, find the length of smaller of the two parallel sides.

Pump A can fill a tank in 36 minutes, while pump B can fill the same tank in 45 minutes. Both pumps are turned on together to fill the empty tank, but when tank became half full, pump B stops working and rest of the tank is filled by pump A only. How long it took to fill the tank?

A shopkeeper sells two qualities of coffee at the rates of €60 per kg. and €44 per kg, gaining 20% and 10% profit respectively. If he mixes the two variants in the ratio 4:1 and sells the mixture at €36 per kg., what is his gain or loss?

Coin A is flipped 3 times and coin B is flipped 4 times. What is the probability that the number of heads obtained from flipping the two coins is the same?