Solution

The correct answer is option 2: 100

Key Points

Given:

Total T = 120

People eat Rice  R = 65

People eat Bread  B = 45

People eat Curd  C = 42

People eat both Rice and Bread,  R ∩ B = 20

People eat both Rice and Curd,  R ∩ C = 25

People eat both Bread and Curd,  B ∩ C = 15

People eat all three items,  R ∩ B ∩ C = 8

n(R ∪ B ∪ C) = n(R) + n(B) + n(C) - n(R ∩ B) - n(R ∩ C) - n(B ∩ C) + n(R ∩ B ∩ C)

n(R ∪ B ∪ C) = 65 + 45 + 42 - 20 - 25 - 15 + 8

n(R ∪ B ∪ C) = 152 - 60 + 8 = 100

Number of people who eat at least one of the three items = 100

Correct option: 2) 100