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.
Study the following information carefully to answer the questions given below.
Which of the following statements is/are correct?
Correct Answer :
All of the above are true
Solution :
The correct answer is All of the above are true.
Let us carefully decode all the clues step-by-step to build the complete schedule.
Step 1: List the given elements
Members: P, Q, R, S, T, U, V
Reports: Alpha, Beta, Gamma, Delta, Epsilon, Zeta, Eta
Months (in order): January, April, May, June, August, September, October
Step 2: Apply direct clues
Clue: Q presents in January and works on Beta.
⇒ Q → January → Beta
Clue: S, who works on Alpha, presents in June.
⇒ S → June → Alpha
Clue: The member presenting in April works on Gamma.
⇒ April → Gamma (person TBD)
Clue: U presents in October.
⇒ U → October
Clue: The one who works on Eta presents in October.
⇒ U → October → Eta
Step 3: Place P and T
Clue: P presents immediately before S. S is in June.
The month immediately before June (in our list) is May.
⇒ P → May
Clue: T presents in the month having 31 days which comes after June, but not in October.
Months after June: August (31 days), September (30 days), October (31 days).
31-day months after June: August and October. Since not October:
⇒ T → August
Clue: The one working on Epsilon presents in the same month as T.
⇒ T → August → Epsilon
Step 4: Place R
Clue: R presents in the month having 30 days which comes after August.
30-day months after August: September (30 days).
⇒ R → September
Step 5: Verify the "number of members before P vs after R" clue
Current order of months: January, April, May, June, August, September, October
P is in May (position 3). Members presenting before P: Q (Jan), and April-person = 2 members.
R is in September (position 6). Members presenting after R: U (Oct) = 1 member.
Number before P = 2, Number after R = 1.
2 = 1 + 1 ✓ — the condition "number presenting before P is one more than after R" is satisfied.
Step 6: Place V and find who is in April
Members placed so far: Q(Jan), T(Aug), P(May), S(Jun), R(Sep), U(Oct).
Remaining member: V. Remaining month: April.
⇒ V → April → Gamma
Step 7: Find who works on Zeta
Clue: There are four members presenting between Q and the one who works on Zeta.
Q is in position 1 (January). Four members between Q and Zeta-person means Zeta-person is at position 6 (September), since positions 2, 3, 4, 5 (April, May, June, August) are the four in between.
⇒ R → September → Zeta
Step 8: Assign remaining report (Delta) to P
Reports assigned: Beta(Q), Gamma(V), Alpha(S), Epsilon(T), Eta(U), Zeta(R).
Remaining report: Delta → P → May
Final Schedule:
| Month | Member | Report |
|---|---|---|
| January | Q | Beta |
| April | V | Gamma |
| May | P | Delta |
| June | S | Alpha |
| August | T | Epsilon |
| September | R | Zeta |
| October | U | Eta |
Step 9: Verify all given statements
Statement 1 — "P presents before R":
P is in May (position 3), R is in September (position 6).
May comes before September. ✅ TRUE
Statement 2 — "T works on Epsilon":
From our schedule, T → August → Epsilon. ✅ TRUE
Statement 3 — "U presents in the last month":
The last month in the list is October, and U → October. ✅ TRUE
Statement 4 — "Q presents in the month of January":
Q → January (given directly by the clue). ✅ TRUE
Since all four statements are individually correct, the answer is "All of the above are true".
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