CAT Quantitative Ability Questions | CAT Set Theory questions

CAT/2003

Question . 13

70 per cent of the employees in a multinational corporation have VCD players, 75 per cent have microwave ovens, 80 per cent have ACs and 85 per cent have washing machines. At least what percentage of employees has all four gadgets?

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Set Theory question

(c) Employees who doesn’t have VCD = 100 – 70 = 30%

Employees who doesn’t have MWO = 100 – 75 = 25%

Employees who doesn’t have AC = 100 – 80 = 20%

Employees who doesn’t have WM = 100 – 85 = 15%

∴ Total employees who doesn’t have atleast one of the four equipments = 30 + 25 + 20 + 15 = 90%

∴ Percentage of employees having all four gadgets = 100 – 90 = 10%.