Six examinations are required to be conducted in a week starting from Sunday to Saturday. Hindi is not scheduled on the first day and English is not scheduled before Hindi. Mathematics is scheduled one day after Physics. Biology is scheduled two days after Hindi. One day prior to Chemistry, there is no examination. Only one examination can be scheduled on a single day and Sunday is not an off day. What are the subjects scheduled on first and the last days?
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- First day Physics, Last day Biology
- First day Physics, Last day Chemistry
- First day Physics, Last day English
- First day English, Last day Biology
The Correct Option is B
Solution and Explanation
Step 1: Understand the constraints.
- Hindi is not scheduled on the first day. - English is not scheduled before Hindi. - Mathematics is scheduled one day after Physics. - Biology is scheduled two days after Hindi. - One day prior to Chemistry, there is no examination (i.e., Chemistry must be on the last day of the week). - Only one examination can be scheduled per day. - Sunday is not an off day.
Step 2: Analyzing the schedule.
- Since only one examination is scheduled per day, and there is no examination the day before Chemistry, it follows that Chemistry must be on the last day, Saturday. - Since Biology is scheduled two days after Hindi, Biology must be on Friday, and Hindi must be on Wednesday. - English must be scheduled after Hindi, and it can't be before Hindi. Therefore, English must be on Thursday. - Mathematics must be scheduled one day after Physics, meaning Physics must be on Tuesday and Mathematics must be on Wednesday. - Hindi, then, is on Wednesday, and the schedule is finalized.
Step 3: Conclusion.
Therefore, Physics is on the first day (Sunday), and Chemistry is on the last day (Saturday). Thus, the correct answer is (B).
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