Question

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

• A. 15
• B. 5
• C. 10
• D. Cannot be determined
  % Answer \textbf{Answer:} 2

Hint:

When dealing with percentages and overlaps, use the inclusion-exclusion principle to find the minimum overlap required to satisfy all the conditions.

Answer 1

The Correct Option is B

We are given the following information: - 70% of employees have VCD players. - 75% of employees have microwave ovens. - 80% of employees have ACS. - 85% of employees have washing machines. The minimum percentage of employees having all four gadgets can be found using the principle of inclusion and exclusion. The sum of all the individual percentages is: \[ 70 + 75 + 80 + 85 = 310 \] Since the total percentage of employees cannot exceed 100%, the sum of overlaps (i.e., employees with at least one of these gadgets) is \( 310 - 100 = 210 \). The minimum overlap (employees having all four gadgets) must be at least: \[ 310 - 3 \times 100 = 10 \] Thus, at least 10% of employees must have all four gadgets. Therefore, the Correct Answer is 10%. \[ \boxed{10} \]