Discussion
In an examination 85% students pass in English and 65% pass in Mathematics. If 60 % students pass both these subjects, then what percentage of student failed in both subjects
Answer: D
10 % of the students failed in both subjects.
Find the percentage who passed in at least one subject, using the rule for the union of two sets:
\[ \begin{aligned} P(E \cup M) &= 85 + 65 - 60 = 90\% \\ \text{failed both} &= 100 - 90 = 10\% \end{aligned} \]
15% is the share who failed English (100 − 85) and 35% the share who failed Mathematics (100 − 65); neither is the share who failed both. 40% is the share who did not pass both subjects (100 − 60), a larger group that includes those who passed one of them.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development