Logical Reasoning Discussion

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 |

**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%