Question
Download Solution PDFIn a class of 40 students, 20 have chosen only Biology and 15 have chosen Mathematics, but not Biology. Given that every student has chosen either Mathematics, or Biology, or both. Find the number of students who chose both Mathematics and Biology.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the number of students who chose both Mathematics and Biology be denoted by x.
- The total number of students who chose Biology = 20 + x.
- The total number of students who chose Mathematics = 15 + x.
- Since every student has chosen either Mathematics, Biology, or both, we have:
(20 + x) + (15 + x) - x = 40 - Simplifying the equation:
20 + 15 + x = 40
35 + x = 40
x = 5
Therefore, the number of students who chose both Mathematics and Biology is 5.
Last updated on Jun 19, 2025
-> UP Police Constable 2025 Notification will be released for 19220 vacancies by June End 2025.
-> Check UPSC Prelims Result 2025, UPSC IFS Result 2025, UPSC Prelims Cutoff 2025, UPSC Prelims Result 2025 Name Wise & Rollno. Wise
-> UPPRPB Constable application window is expected to open in June 2025.
-> UP Constable selection is based on Written Examination, Document Verification, Physical Measurements Test, and Physical Efficiency Test.
-> Candidates can attend the UP Police Constable and can check the UP Police Constable Previous Year Papers. Also, check UP Police Constable Exam Analysis.