A piece of string is 40 centimeters long. It is cut into three pieces. The longest piece is 3 times as long as the middle-sized piece, and the shortest piece is 23 centimeters shorter than the longest piece. Find the length of the shortest piece (in cm).

Find the number of solutions for the pair of linear equations: 5x − 7y + 28 = 0 and 10x + 14y − 28 = 0.

If 2p3 - 57 = 3, then the value of p is:

The cost of 2 sarees and 4 shirts is Rs. 1600. With the same amount of money, one can buy 1 saree and 6 shirts. If someone wants to buy 12 shirts, how much amount does he/she have to pay?