UPSC Prelims 2001·GS1·science-and-technology·science and technology

In a survey, it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone. If 55% owned both a car and a mobile phone, what per cent of those surveyed owned a car or a mobile phone or both?

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Last updated 23 May 2026, 3:31 pm IST
  1. A65%
  2. B80%
  3. C85%Correct
  4. D97.5%

Explanation

To solve this problem, we use the principle of set theory for the union of two sets. The formula is: Percentage owning a car or a mobile or both = (Percentage owning a car) + (Percentage owning a mobile) - (Percentage owning both). Based on the survey data: Percentage owning a car = 80 percent. Percentage owning a mobile phone = 60 percent. Percentage owning both = 55 percent. Applying the formula: Result = 80 + 60 - 55 Result = 140 - 55 Result = 85 percent. Therefore, 85 percent of those surveyed owned a car or a mobile phone or both. The correct option is C.
science-and-technology: In a survey, it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone. If 55

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