The regular mathematics faculty could not teach because of being sick. As a stop-gap arrangement, different visiting faculty taught different topics on 4 different days in a week. The scheduled time for class was 7:00 am, with a maximum permissible delay of 20 minutes. The monsoon made the city bus schedules erratic, so the classes started at different times on different days.
Mr. Singh did not teach on Thursday. Calculus was taught in the class that started at 7:20 am. Mr. Chatterjee took the class on Wednesday, but he did not teach probability. The class on Monday started at 7:00 am, but Mr. Singh did not teach it. Mr. Dutta did not teach ratio and proportion. Mr. Banerjee, who did not teach set theory, taught a class that started five minutes later than the class in which probability was taught. The teacher in Friday's class taught set theory. Wednesday's class did not start at 7:10 am. No two classes started at the same time.
80. The option which gives a possible correct class time - week day combination is:
The regular mathematics faculty could not teach because of being sick. As a stop-gap arrangement, different visiting faculty taught different topics on 4 different days in a week. The scheduled time for class was 7:00 am, with a maximum permissible delay of 20 minutes. The monsoon made the city bus schedules erratic, so the classes started at different times on different days.
Mr. Singh did not teach on Thursday. Calculus was taught in the class that started at 7:20 am. Mr. Chatterjee took the class on Wednesday, but he did not teach probability. The class on Monday started at 7:00 am, but Mr. Singh did not teach it. Mr. Dutta did not teach ratio and proportion. Mr. Banerjee, who did not teach set theory, taught a class that started five minutes later than the class in which probability was taught. The teacher in Friday's class taught set theory. Wednesday's class did not start at 7:10 am. No two classes started at the same time.
80. The option which gives a possible correct class time - week day combination is:
Show Hint
- Wednesday - 7:10 am, Thursday - 7:20 am, Friday - 7:05 am
- Wednesday - 7:20 am, Thursday - 7:15 am, Friday - 7:20 am
- Wednesday - 7:05 am, Thursday - 7:20 am, Friday - 7:10 am
- Wednesday - 7:20 am, Thursday - 7:05 am, Friday - 7:10 am
The Correct Option is D
Solution and Explanation
Since two of the three days asked about (Wednesday and Thursday) have times that are fully forced by the clues, the fastest check is to test each option's Wednesday and Thursday entries first, before even looking at Friday.
- Wednesday 7:10, Thursday 7:20, Friday 7:05: Wednesday must be 7:20 am (Chatterjee's calculus class), not 7:10 am, so this fails immediately; it also clashes with the separate clue that Wednesday's class did not start at 7:10 am.
- Wednesday 7:20, Thursday 7:15, Friday 7:20: Wednesday is right at 7:20 am, but Thursday should be 7:05 am (Banerjee, five minutes after Dutta's 7:00 am probability class), not 7:15 am; also, Friday cannot repeat Wednesday's 7:20 am, since no two classes share a start time.
- Wednesday 7:05, Thursday 7:20, Friday 7:10: Wednesday should be 7:20 am, not 7:05 am, and Thursday should be 7:05 am, not 7:20 am, so both the given Wednesday and Thursday values are swapped incorrectly.
- Wednesday 7:20, Thursday 7:05, Friday 7:10: Wednesday matches the calculus-at-7:20 clue, Thursday matches Banerjee's 7:00 + 5 = 7:05 am, and Friday at 7:10 am is one of the open values left for Mr. Singh once Monday (7:00), Wednesday (7:20) and Thursday (7:05) are used up. Nothing here repeats a used time.
Only the last combination survives, so it is the one that is genuinely possible.
Let's summarize:
- Wednesday's time is fixed at 7:20 am by the calculus clue, and Thursday's time is fixed at 7:05 am by the five-minutes-after-probability clue; both are non-negotiable.
- Friday's time is flexible, so the question only needs one workable value there, and 7:10 am does not clash with any of the other three fixed times.
So Wednesday 7:20 am, Thursday 7:05 am, Friday 7:10 am is the possible correct combination.
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The regular mathematics faculty could not teach because of being sick. As a stop-gap arrangement, different visiting faculty taught different topics on 4 different days in a week. The scheduled time for class was 7:00 am, with a maximum permissible delay of 20 minutes. The monsoon made the city bus schedules erratic, so the classes started at different times on different days.
Mr. Singh did not teach on Thursday. Calculus was taught in the class that started at 7:20 am. Mr. Chatterjee took the class on Wednesday, but he did not teach probability. The class on Monday started at 7:00 am, but Mr. Singh did not teach it. Mr. Dutta did not teach ratio and proportion. Mr. Banerjee, who did not teach set theory, taught a class that started five minutes later than the class in which probability was taught. The teacher in Friday's class taught set theory. Wednesday's class did not start at 7:10 am. No two classes started at the same time.
77. The class on Wednesday started at:
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