Question bank/JEE Main/Mathematics

A class has 175 students. The following data shows the number of
students obtaining one or more subjects: Mathematics 100, Physics 70,
Chemistry 40, Mathematics and Physics 30, Mathematics and Chemistry 28,
Physics and Chemistry 23, Mathematics & Physics & Chemistry 18. How many
students have offered Mathematics alone ?

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[IMAGE] n (M) = 100
n (P) = 70
n (C) = 40
[IMAGE] Students with only mathematics
= n (M) - [IMAGE] = 100 - 30 - 28 + 18
=

Source: Grass-G / M-05 Mathematics Paper 10 October.docx