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Market research of a cereal company interviewing 100 people found that for breakfast on any one day, 72 people ate cereals, 39 people ate eggs, 75 people ate toast. 32 people ate cereal and egg, 53 people ate cereal and toast, 26 people ate toast and egg. Of these, 21 ate cereals, toast and eggs. How many interviewed people ate neither cereal, nor toast nor egg?

Market research of a cereal company interviewing 100 people found that for breakfast on any one day, 72 people ate cereals, 39 people ate eggs, 75 people ate toast. 32 people ate cereal and egg, 53 people ate cereal and toast, 26 people ate toast and egg. Of these, 21 ate cereals, toast and eggs. How many interviewed people ate neither cereal, nor toast nor egg? Correct Answer 4

Given:

Total number of people = 100

Number of people ate cereals = 72

Number of people ate eggs = 39

Number of people ate toast = 75

Number of people ate cereal and egg = 32

Number of people ate cereal and toast = 53

Number of people ate egg and toast = 26

Number of people ate cereal, egg and toast = 21

Calculation:

Number of people ate neither cereal, nor toast and egg,

⇒ 100 – {(72 + 39 + 75) – (32 + 53 + 26) + 21}

⇒ 100 – {186 – 111 + 21}

⇒ 100 – 96

⇒ 4

∴ 4 people ate neither cereal, nor toast and egg.

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