Correct option is B
Given:
A travel agent surveyed 100 people 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.
Solution:
Total people = 100
Total Visitors = (People who visited Mumbai) + (People who visited Bangalore) − (People who visited both)
Total Visitors = 31 + 26 − 12
Total Visitors = 45
People who visited neither Mumbai nor Bangalore = Total surveyed − Total Visitors
= 100 − 45
= 55
55 people who had visited neither Mumbai nor Bangalore.
Thus, the correct answer is (b).
Alternative method:
Total people = 100
Number of people in only Mumbai = 31 - 12 = 19
Number of people in only Bangalore = 26 - 12 = 14
Total Visitors = 19 + 12 + 14 = 45
= 100 − 45
Neither Mumbai nor Bangalore = 100 - 45 = 55
Thus, the correct answer is (b).
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