Venn Diagrams
Logical Reasoning

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Q.

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

 A.

15%

 B.

5%

 C.

10%

 D.

Cannot be determined

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Solution:
Option(C) is correct

70% have VCD Players.

∴ 30% do not have VCD Players.

75% have microwave ovens.

∴ 25% do not have microwave ovens.

80% have ACs.

∴ 20% do not have ACs.

85% have washing machines.

∴ 15% do not have washing machines.

∴ 30 + 25 + 15 + 20 = 90% of employees do not have at least 1 gadget.

∴ Minimum percentage of employees who has all the four gadgets

= 100 − 90 = 10%

Hence, option C is the correct option.

Alternatively,

Minimum percentage of employees which possess both VCDs and Microwaves

= 70% + 75% − 100%

= 45%

Minimum percentage of employees which possess both ACs and Washing machines

= 80% + 85% − 100%

= 65%

∴ Minimum percentage of employees which possess all the four gadgets

= 45% + 65% − 100%

= 10%


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