exam Maths Puzzle Numerical Ability

A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?

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Hi I'm having a problem with this question. In circle O,chords MN and PQ intersect at K. If MN=25, PK=18, and KQ=8, find the length of MK and NK if MK < NK. A rectangle is three times as long as it is wide. if its length and width is decreased by 2cm its area is decreased by 36 cm^2. Find its original dimensions.