Percentage question

Question

in an examination 20% failed in maths, 15% failed in English and 25% failed in Hindi if 5% failed in English and maths, 10% failed in Hindi and English and 15% failed in maths and Hindi and 2% failed in all subjects. Find the percentage of students who passed in all subjects

Answer 1

20% failed in math

15% failed in English

25% failed in Hindi

5% failed in English & math

10% failed in Hindi and English

15% failed in math & Hindi

2% failed in all subjects, math, English, & Hindi

What percentage failed in all subjects?

Draw a Venn diagram with 3 circles. They overlap in 2%, 2 circles overlap in 5, 10 and 15% leaving

2% failed in just Hindi, 2% failed in just English 2% failed in just math

32% failed in 1 or more subjects

100-32%

= 68% passed in an all subjects