In a road worthiness test on 240 cars, 60% passed. The number that failed had clutch brakes and steering as follows: clutch only – 28, clutch and steering – 14, clutch. brakes and steering – 8, clutch and brakes – 20, brakes and steering only -6. The number of cars with faults in steering only is twice the number of cars with faults in brakes only.
(a) Using set notation draw a Venn diagram to illustrate this information.
(b) How many cars had:
(i) faulty brakes.
(ii) Only one fault.
(iii) At least two faults.
(iv) At most two faults.
