Question

In a class of 100 students, 50 passed in Maths and 70 passed in English, 5 students failed in both Maths and English. How many students passed in both the subjects?

• A. 35
• B. 25
• C. 45
• D. 37

Answer 1

Answer:

B. 25

Total no. of students = 100 No. of students passed in Maths = 50 No. of students passed in English = 70 No. of students failed in both Maths and English = 5 AUB = A + B – (A∩B) Total no. of students passed in Maths and English = (Total no. of students) – (No. of students failed in both Maths and English) ⇒ 100 – 5 ⇒ 95 Total no. of students passed = No. of students passed in Maths + No. of students passed in English – No. of students passed in both the subjects ⇒ 95 = 50 + 70 – No. of students passed in both the subjects ⇒ No. of students passed in both the subjects = 120 – 95 ⇒ 25