Directions: Study the following information carefully and answer the question given below.
Six professors — U, V, W, X, Y, and Z — deliver guest lectures on six different subjects — Astronomy, Botany, Geology, History, Psychology, and Zoology — on six different days from Monday to Saturday of the same week, but not necessarily in the same order.
Exactly two persons deliver their lectures between the one who lectures on History and X. Not more than two persons deliver their lectures after X. As many persons deliver their lectures before the one who lectures on History as after the one who lectures on Zoology.
V presents immediately after U, but three slots before the one who lectures on Psychology. The one who lectures on Botany presents three slots before Z, but after U. The one who lectures on Astronomy presents immediately before the one who lectures on Botany. Y does not lecture on Botany and delivers their lecture after the one who lectures on Astronomy. W does not lecture on History.
Who among the following delivers their lecture on Thursday?
Correct Answer :
The one who lectures on Zoology
Solution :
The correct answer is The one who lectures on Zoology.
Step-by-Step Explanation:
We are given six days from Monday to Saturday, numbered 1 to 6:
1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Saturday
Step 1: Determine the positions of U, V, and Psychology
From the clue: "V presents immediately after U, but three slots before the one who lectures on Psychology."
This gives the relative order: U (Day k-1), V (Day k), and Psychology (Day k+3).
Since there are only 6 available days, the only valid placement is:
- U is on Monday (Day 1)
- V is on Tuesday (Day 2)
- Psychology is on Friday (Day 5)
Step 2: Determine the positions of Astronomy, Botany, and Z
From the clues:
- "The one who lectures on Botany presents three slots before Z, but after U."
- "The one who lectures on Astronomy presents immediately before the one who lectures on Botany."
Since U is on Monday (Day 1), Botany must be delivered after U. Placing Botany on Tuesday (Day 2) satisfies all conditions:
- Astronomy is on Monday (Day 1) (delivered by U)
- Botany is on Tuesday (Day 2) (delivered by V)
- Z is 3 slots after Botany, placing Z on Friday (Day 5) (so Z delivers Psychology)
Step 3: Determine the positions of X, History, and Zoology
From the clues:
- "Not more than two persons deliver their lectures after X." (X is on Day 4, 5, or 6)
- "Exactly two persons deliver their lectures between the one who lectures on History and X."
- "As many persons deliver their lectures before the one who lectures on History as after the one who lectures on Zoology."
Since Z is on Friday (Day 5), X must be on Saturday (Day 6):
- If X is on Saturday (Day 6), then History must be on Wednesday (Day 3) so that 2 days (Thursday & Friday) lie between them.
- There are 2 days before History (Monday & Tuesday), so there must be 2 days after Zoology. Thus, Zoology is on Thursday (Day 4).
Step 4: Complete the schedule for professors and subjects
- The remaining subject Geology goes to Saturday (Day 6) with X.
- The remaining professors for Wednesday (Day 3) and Thursday (Day 4) are W and Y.
- Clue: "W does not lecture on History." Therefore, W cannot be on Wednesday (History), so W is on Thursday (Zoology) and Y is on Wednesday (History).
Final Finalized Schedule:
- Monday: U — Astronomy
- Tuesday: V — Botany
- Wednesday: Y — History
- Thursday: W — Zoology
- Friday: Z — Psychology
- Saturday: X — Geology
Thus, the person who delivers their lecture on Thursday is W, which corresponds to The one who lectures on Zoology.
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