Question
Download Solution PDFEach of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. F has the exam on Friday. Only two people have their exams between T and F. Only four people have their exams between E and T. S has the exam immediately after U. D does not have the exam on Monday. How many people have their exams before D and after C?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven: Each of C, D, E, F, S, T and U has an exam on a different day of a week, starting from Monday and ending on Sunday of the same week.
There are 7 days in a week and 7 people, so each person has an exam on one day.
1) F has the exam on Friday.
Day | Person |
Monday | |
Tuesday | |
Wednesday | |
Thursday | |
Friday | F |
Saturday | |
Sunday |
2) Only two people have their exams between T and F. T should be before F.
Day | Person |
Monday | |
Tuesday | T |
Wednesday | |
Thursday | |
Friday | F |
Saturday | |
Sunday |
3) Only four people have their exams between E and T.
Day | Person |
Monday | |
Tuesday | T |
Wednesday | |
Thursday | |
Friday | F |
Saturday | |
Sunday | E |
4) S has the exam immediately after U.
If S is immediately after U, then U and S must occupy two consecutive empty slots.
So U is on Wednesday and S is on Thursday.
Day | Person |
Monday | |
Tuesday | T |
Wednesday | U |
Thursday | S |
Friday | F |
Saturday | |
Sunday | E |
5) D does not have the exam on Monday.
Since D does not have the exam on Monday, D must have the exam on Saturday.
This leaves Monday for C.
Day | Person |
Monday | C |
Tuesday | T |
Wednesday | U |
Thursday | S |
Friday | F |
Saturday | D |
Sunday | E |
Four people have their exams before D and after C.
Hence, the correct answer is "Option 2".
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