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L and A are classmates as well as good friends. In a class of 30 students, L has 10 unique friends and 5 friends who are common to A. A has a total of 17 friends in the class. How many students are friends with neither L nor A?

L and A are classmates as well as good friends. In a class of 30 students, L has 10 unique friends and 5 friends who are common to A. A has a total of 17 friends in the class. How many students are friends with neither L nor A? Correct Answer 3

The given information can be represented by a Venn diagram as follows:

[ alt="F2 Shraddha Railways 23.03.2022 D10" src="//storage.googleapis.com/tb-img/production/22/04/F2_Shraddha_Railways_23.03.2022_D10.png" style="width: 315px; height: 171px;">

  • Total students in class = 30
  • Total friends of L and A = 10 + 5 + 12  = 27
  • Number of students who are friends with neither L nor A = 30 - 27 = 3

Hence, 'option 2' is the correct answer. 

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