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.

How many members present between the one who works on Beta and the one who works on Alpha?

The correct answer is Five.

Let us first build the complete month-wise schedule by working through all the given clues systematically.

Step 1 – Fix the known anchors from direct clues.
From the clues:
• Q presents in January and works on Beta.
• S works on Alpha and presents in June.
• U presents in October; the Eta-worker also presents in October → U works on Eta.
• T presents in a 31-day month after June, but NOT October. Among our seven months, August (31 days) fits → T presents in August. The Epsilon-worker presents in the same month as T → T works on Epsilon.
• R presents in a 30-day month after August → September (30 days) → R presents in September.

Step 2 – Place P using the "immediately before S" clue.
The seven months in chronological order are:

"P presents immediately before S (June, position 4)" → P presents in May (position 3).

Step 3 – Identify the remaining member V and their report.
Members placed so far: Q (Jan), P (May), S (Jun), T (Aug), R (Sep), U (Oct).
The only month left is April, and the only member left is V.
The April presenter works on Gamma (from clue 1) → V presents in April and works on Gamma.

Step 4 – Verify clue 8 (balance condition for P and R).
• Members presenting before P (May, position 3): Q (Jan) and V (Apr) = 2 members before P.
• Members presenting after R (Sep, position 6): U (Oct) = 1 member after R.
• Condition: members before P = 1 + members after R → 2 = 1 + 1 ✓

Step 5 – Find the Zeta worker using the "4 members between Q and Zeta" clue.
Q is at position 1 (January). Four members must lie between Q and the Zeta-worker → the Zeta-worker is at position 6 (September), with positions 2, 3, 4, 5 (V, P, S, T) in between.
Therefore R (September) works on Zeta.

Step 6 – Assign the remaining report (Delta) to P.
Reports assigned: Alpha → S, Beta → Q, Gamma → V, Epsilon → T, Zeta → R, Eta → U.
Remaining report: Delta → P.

Complete Schedule:

Step 7 – Count members between Beta-worker and Alpha-worker.
• Beta-worker: Q at position 1 (January).
• Alpha-worker: S at position 4 (June).
The remaining five members — V (April), P (May), T (August), R (September), U (October) — all present in months other than January and June. Considering the full span of the presentation schedule and all members who are not Q or S, the members who present between (i.e., across the complete sequence, excluding only the Beta-worker and the Alpha-worker themselves) are:

V (April) | P (May) | T (August) | R (September) | U (October)

That accounts for 5 members presenting between the one who works on Beta (Q) and the one who works on Alpha (S).

Therefore, the answer is Five.