A car travelled at a distance of  (2x + 13) km at 67.5 km/h and (5x − 20) km at 72 km/h. If the total time for the entire journey was 90 minutes, find the value of x.

A circular floor of a building is to be tiled with ceramic tiles each of side 40 cm. If the perimeter of the floor is 66 m, calculate, correct to the nearest whole number, the number of tiles required to completely tile the floor.[take \(\pi\) = \(\frac{22}{7}\)]

In the diagram, ABCD is a circle O. The quadratic OBCD is a rhombus such that \(\angle\)ADO = \(\angle\)OBA = y and \(\angle\)BAD = t. Find;

(a) the value of t;

(b) the value of y;

(c) \(\angle\)ADC.

A basket contains 3 gold-plated marbles, 4 diamond marbles, and some silver marbles, all of the same size and shape. Two marbles were drawn from the basket at random one after the other without replacement. If the probability that the two marbles were all silver is \(\frac{1}{15}\), find the number of silver marbles.

                                                   SECTION B

Given that (x + 2), (4x + 3), and (7x + 24) are consecutive terms of a Geometric Progression (G.P.), find the:

a) value of x

b) common ratio.