Question 18 In a group of 800 people, 25% like only coffee, while 60% like only tea.
Palo Alto Networks technical mcq question, verified with a worked answer. Free to practise - no sign-up.
In a group of 800 people, 25% like only coffee, while 60% like only tea. If 5% like orange juice, what is the maximum possible number of people who like all three beverages?
Select any one of the following
Show answer & explanation
Anyone who likes all three beverages must like orange juice. Since only 5% of 800 (40 people) like orange juice, the maximum who can like all three is 40.
Step-by-step Derivation:
Step 1: Total number of people = 800.
Step 2: People liking orange juice = 5% of 800 = 40.
Step 3: The set of people who like all three beverages is a subset of people who like orange juice.
Step 4: Hence, the maximum possible number of people liking all three beverages is bounded by 40.