In an examination, 80 students secured

first class marks in English or Maths

Out of these, 50 students obtained

first class Marks in Maths and 10

in English and Maths both. How many

students have secured first class

marks in English only?

Number of students who secured first class in English only is 20

Step-by-step explanation:

Step 1: Find the number of students who secured first class in English only.

Total number of students who secured first class in English or Maths, T = 80

Number of students who secured first class in Maths, M = 50

Number of students who secured first class in both English and Maths, EM = 10

⇒ Let the number of students who secured first class in English only be x.

Total students with first class, T = M + EM + x

⇒ 80 = 50 + 10 + x

⇒ 80 = 60 + x

∴ x = 80 - 60 = 20