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.

Which of the following pairings is correct?

The correct answer is V – Astronomy.

Step-by-step Explanation:

Let the six days from Monday to Saturday be represented as Slots 1 to 6:
1 – Monday, 2 – Tuesday, 3 – Wednesday, 4 – Thursday, 5 – Friday, 6 – Saturday.

1. Position of U, V, and Psychology:
• "V presents immediately after U, but three slots before the one who lectures on Psychology."
Placing U on Monday (1) gives V on Tuesday (2). Since V is 3 slots before Psychology, Psychology must be on Friday (5).

2. Position of Astronomy, Botany, and Z:
• "The one who lectures on Astronomy presents immediately before the one who lectures on Botany."
• "The one who lectures on Botany presents three slots before Z, but after U."
Since V is on Tuesday (2), V lectures on Astronomy. Thus, Botany is on Wednesday (3).
With Botany on Wednesday (3), Z presents three slots later on Saturday (6).

3. Position of History, X, and Zoology:
• "As many persons deliver their lectures before the one who lectures on History as after the one who lectures on Zoology."
• "Exactly two persons deliver their lectures between the one who lectures on History and X."
Placing History on Monday (1) means 0 persons present before History, so 0 persons present after Zoology, making Zoology fall on Saturday (6) (delivered by Z).
With History on Monday (1) (delivered by U), X presents two slots later on Thursday (4).

4. Assigning Remaining Professors and Subjects:
• The remaining open slots for professors are Wednesday (3) and Friday (5), which must be filled by W and Y.
• "Y does not lecture on Botany and delivers their lecture after the one who lectures on Astronomy."
Since Botany is on Wednesday (3), Y cannot be on Wednesday. Thus, Y presents on Friday (5) (Psychology), and W presents on Wednesday (3) (Botany).
• The only remaining subject for X on Thursday (4) is Geology.

Final Complete Schedule:
• Monday (1): U — History
• Tuesday (2): V — Astronomy
• Wednesday (3): W — Botany
• Thursday (4): X — Geology
• Friday (5): Y — Psychology
• Saturday (6): Z — Zoology

Verification of Options:
• X – Psychology: Incorrect (X lectures on Geology)
• V – Astronomy: Correct (V lectures on Astronomy on Tuesday)
• U – Tuesday: Incorrect (U lectures on Monday)
• Y – Saturday: Incorrect (Y lectures on Friday)
• W – Geology: Incorrect (W lectures on Botany)