A family has 108 kg of wheat for x number of weeks. If they need to use same amount of wheat for 3 more weeks, they need to cut down their weekly consumption of wheat by 3 kgs. Find value of x.

A ladder ^@ 65 \space m^@ long just reaches the top of a building ^@56 \space m^@ high from the ground. Find the distance of the foot of the ladder from the building.

If ^@A(14,11)^@, ^@B(16,15)^@, and ^@C(12,9)^@ are the vertices of ^@\Delta ABC^@ and ^@AD^@ is its median. Then the area of ^@\Delta ABD ^@ and ^@\Delta ADC ^@ is:

From a point ^@P ^@, ^@ 11 \space cm ^@ away from the centre of the circle, a tangent ^@PT ^@ of length ^@8 \space cm ^@ is drawn. What is the radius of the circle?

From among a group of 5 men, 4 women and 4 children, 2 individuals are selected randomly. What is the probability that exactly 1 among the chosen are children?

In 1992, the meteorological office predicted the weathers completely right for the months of february and april, and completely wrong for all the other months. What is the probability that the forecast was wrong for a given day that year?

Trinity is participating in a race. The probability that she will come first in the race is 0.25. The probability that she will come second in the race is 0.05. The probability that she will come in 3rd is 0.55, and the probability that she will be 4th is 0.15. What is the probability that she will win 2nd position or win the race?