ABCD is a square with each side measuring 144cm. M is a point on CB such that CM=36cm. If N is a variable point on the diagonal DB, find the least value of CN+MN.
The area of a trapezium is 397.5 cm2 and the distance between its parallel sides is 15 cm. If one of the parallel sides is of length 24 cm, find the length of the other side.
The difference between two natural numbers is 33. If the larger number is divided by the smaller one, then the quotient is 6 and the remainder is 3. Find the smaller number.