A travel agent surveyed 100 people to find out how many of them had visited the cities of Mumbai and Bangalore. 31 people had visited Mumbai, 26 people had visited Bangalore, and 12 people had visited both cities. Find the number of people who had visited neither Mumbai nor Bangalore.?

Option 2 : 55

Given:

Total number of people surveyed by agent = 100

Number of people visited Mumbai = 31

Number of people visited Bangalore = 26

Number of people visited Both cities = 12

Calculation:

Number of people visited only Mumbai = 31 - 12 = 19

Number of people visited only Bangalore = 26 - 12 = 14

Total number of people surveyed by agent = Number of people visited only Mumbai + Number of people visited only Bangalore + Number of people visited both cities + Number of people who had visited neither Mumbai nor Bangalore

⇒ 100 = 19 + 14 + 12 + Number of people who had visited neither Mumbai nor Bangalore

Number of people who had visited neither Mumbai nor Bangalore = 55

∴ Number of people who had visited neither Mumbai nor Bangalore are 55.