The chords AB and CD of a circle are perpendicular to each other. If radius of the circle is 14 cm, and length of the arc BPC is 10 cm, find the length of arc AQD (Assume π = 22/7).

The chords AB and CD of a circle are perpendicular to each other. If radius of the circle is 7 cm, and length of the arc BPC is 12 cm, find the length of arc AQD (Assume π = 22/7).

There are 4 hats belonging to 4 students. The hats were put into a box, and each student pulls out an hat one after the other. What is the probability that each student gets his or her own hat?

The price of diamond varies directly as square of its weight. The price of a 15 decigrams diamond is Rp33750. If diamond breaks into two pieces whose weights are in the ratio 2:3, find the loss incurred.