CAT 2003 Slot 2 — DILR Question 5
Choose 1, if the question can be answered by using statement A alone but not by using B alone.
Choose 2, if the question can be answered by using statement B alone but not by using A alone.
Choose 3, if the question can be answered by using either statement alone.
Choose 4, if the question can be answered by using both the statements together but not by either statement.
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?
Answer & solution
- A
15%
- B
5%
10%
- D
Cannot be determined
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).
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%
Hence, option (c).