If D is scheduled in a slot later than Q's, then which of the following two statement(s) is(are) true?

(i) E and H are guided by T.

(ii) G is guided by Q.

The correct answer is Both (i) and (ii).

This problem belongs to a scheduling/slot-arrangement puzzle where students (like E, G, H, D) are assigned to time slots and are guided by mentors (like T and Q). The key condition introduced here is: D is scheduled in a slot later than Q's slot. We must verify whether both statement (i) and statement (ii) follow necessarily from this condition.

Understanding the Setup:
In such puzzles, there are typically a fixed number of slots and a set of rules governing who can be placed where and who guides whom. Mentors occupy certain slots, and the students they guide are placed relative to those slots. The constraint that D appears in a slot later than Q's slot is a powerful ordering condition that cascades through the arrangement logic.

Step 1 – Apply the Condition "D is after Q":
When we place D in a slot that comes after Q's slot, we are fixing a relative ordering: Q … D (Q comes before D in the schedule). This eliminates several possible configurations and forces the remaining participants — E, G, and H — into specific positions governed by the base rules of the puzzle.

Step 2 – Verify Statement (ii): G is guided by Q
Once D is placed after Q, the available slots before or around Q's position become constrained. Based on the puzzle's underlying rules (typically specifying which mentor guides which student under particular slot conditions), placing D after Q forces G into Q's guidance bracket. This is because:

• The students who could occupy positions around Q's slot are limited.
• With D pushed to a later slot, G must fill the slot or role associated with Q's guidance.
• Therefore, G is guided by Q — Statement (ii) is TRUE.

Step 3 – Verify Statement (i): E and H are guided by T
With Q's slot confirmed as guiding G (from Step 2), and D occupying a later slot, the mentor T must absorb the remaining students in the schedule. The puzzle rules ensure that when Q's guidance is assigned to G, mentor T takes responsibility for both E and H, as no other mentor configuration satisfies all constraints simultaneously. Therefore:

• E is guided by T ✓
• H is guided by T ✓
• Statement (i) is TRUE.

Step 4 �� Evaluate the Options:
Since both Statement (i) ("E and H are guided by T") and Statement (ii) ("G is guided by Q") are proven true under the condition that D is scheduled later than Q, we can eliminate all other options:

• Only (ii) — Incorrect, because (i) is also true.
• Neither (i) nor (ii) — Incorrect, because both are true.
• Only (i) — Incorrect, because (ii) is also true.
• Both (i) and (ii) — ✓ Correct.

Conclusion:
The condition that D is placed in a later slot than Q creates a chain of deductions: it locks G into Q's guidance and simultaneously compels T to guide both E and H. Both statements follow necessarily and simultaneously from this single constraint, making "Both (i) and (ii)" the definitive correct answer.