Study the following information carefully to answer the questions given below.

Seven team members (P, Q, R, S, T, U, and V) present their annual project reports (Alpha, Beta, Gamma, Delta, Epsilon, Zeta, and Eta) in seven different months of the same year, namely, January, April, May, June, August, September, and October. All the information is not necessarily in the same order.

The member presenting in April works on Gamma. S, who works on Alpha, presents in June. P presents immediately before S. T presents in the month having 31 days which comes after June, but not in October. The one working on Epsilon presents in the same month as T. Q presents in January and works on Beta. R presents in the month having 30 days which comes after August. The number of members presenting before P is one more than the number of members presenting after R. There are four members presenting between Q and the one who works on Zeta. U presents in October. The one who works on Eta presents in October.

Which of the following combinations is correctly matched?

The correct answer is R-Zeta.

Let us carefully work through all the given clues step-by-step to build the complete schedule and verify each option.

Step 1: List the known months
January, April, May, June, August, September, October

Step 2: Apply direct clues

• Q presents in January and works on Beta.
• S works on Alpha and presents in June.
• The member presenting in April works on Gamma.
• U presents in October.
• The one who works on Eta presents in October → so U works on Eta.

Step 3: Find T's month
T presents in the month having 31 days which comes after June, but not in October.
Months after June with 31 days: August (31 days), October (31 days).
Since it's not October → T presents in August.
The one working on Epsilon presents in the same month as T → T works on Epsilon.

Step 4: Find R's month
R presents in the month having 30 days which comes after August.
Months after August: September (30 days), October (31 days).
Month with 30 days after August → R presents in September.

Step 5: Find P's month
P presents immediately before S. S presents in June.
The month immediately before June in the given list (January, April, May, June, August, September, October) is May.
→ P presents in May.

Step 6: Find V's month
Remaining months: April (taken by someone), and the unassigned members are P (May), Q (January), R (September), S (June), T (August), U (October) → That's all 7 months assigned. The remaining member is V, who gets April.
→ V presents in April and works on Gamma.

Step 7: Verify the "number of members" clue
Order of months: January (Q), April (V), May (P), June (S), August (T), September (R), October (U).
Members presenting before P (May): Q, V → 2 members.
Members presenting after R (September): U → 1 member.
Number before P = 2, Number after R = 1 → 2 = 1 + 1 ✓

Step 8: Find the Zeta clue
There are four members presenting between Q and the one who works on Zeta.
Q is in January (position 1). Counting 4 members between Q and the Zeta presenter:
Positions: Q(1), V(2), P(3), S(4), T(5), R(6), U(7).
Four members between Q and Zeta means Zeta is at position 6 → R works on Zeta.
(Members between position 1 and 6 are: V, P, S, T → exactly 4 ✓)

Step 9: Find the remaining project (Delta)
Projects: Alpha(S), Beta(Q), Gamma(V), Delta(?), Epsilon(T), Zeta(R), Eta(U).
Only P is unassigned → P works on Delta.

Complete Schedule:

Step 10: Verify each option

• V-June ✗ → V presents in April, not June.
• R-Zeta ✓ → R presents in September and works on Zeta. Correct!
• Q-Alpha ✗ → Q works on Beta, not Alpha.
• T-Delta ✗ → T works on Epsilon, not Delta.
• P-April ✗ → P presents in May, not April.

Therefore, the correctly matched combination is R-Zeta.