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In a group of 100 people, 60 like tea, 40 like coffee, and 20 like both. How many people like neither tea nor coffee?
10
20
30
40
20
To find the number of people who like neither tea nor coffee, the principle of inclusion-exclusion is applied. The total number of people liking at least one beverage is calculated by adding those who like tea and those who like coffee, then subtracting those who like both, resulting in 80. Subtracting this union from the total population of 100 yields 20 people who like neither.
To find the number of people who like neither tea nor coffee, the principle of inclusion-exclusion is applied. The total number of people liking at least one beverage is calculated by adding those who like tea and those who like coffee, then subtracting those who like both, resulting in 80. Subtracting this union from the total population of 100 yields 20 people who like neither.
Set theory and Venn diagrams form the foundational mathematical principles used in logical reasoning and quantitative aptitude sections of national-level competitive examinations like RRB and SSC.
The inclusion-exclusion principle states that the union of two sets equals the sum of individual sets minus their intersection.
The population liking neither set is derived by subtracting the set union from the universal set.
Venn diagrams offer a graphical representation to simplify multi-variable overlapping data problems.
Exclusive tea lovers equal 60 minus 20, which is 40.
Exclusive coffee lovers equal 40 minus 20, which is 20.
Option B correctly represents the remainder of 20 individuals out of the 100 total population.
B is correct тАФ exactly 20 people like neither tea nor coffee after applying the set theory formula.
Mastering basic set operations helps streamline complex data interpretation tables and logical reasoning puzzles in recruitment tests.