^@ABCD^@ is a square with each side measuring ^@144 \space cm^@. ^@M^@ is a point on ^@CB^@ such that ^@CM = 36 \space cm^@. 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.
For the points ^@ A(3, 29), ^@ ^@ B(26, 21), ^@ ^@ C(8, 11), ^@ and ^@ D(9, 5) ^@ , find the value of ^@ (\text{ordinate } B) ^@^@ \times (\text{ordinate } C) ^@^@ \times 3(\text{abscissa } D) ^@^@ \div 2(\text{abscissa } A) ^@.