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 members works on Zeta?Correct Answer :
R
Solution :
The correct answer is R.
Let's build the complete schedule step-by-step using all the given clues.
Step 1: Fix the known direct assignments
- Q → January, Beta (stated directly)
- S → June, Alpha (stated directly)
- U → October (stated directly)
Step 2: Determine T's month
T presents in a month with 31 days that comes after June but not October. Among the available months (January, April, May, June, August, September, October), the only 31-day month after June that is not October is August.
⇒ T → August
The clue also states that the one working on Epsilon presents in the same month as T:
⇒ T → Epsilon
Step 3: Determine R's month
R presents in a month with 30 days that comes after August. From the remaining months, September has 30 days and comes after August.
⇒ R → September
Step 4: Determine P's month
P presents immediately before S, and S is in June. So P must be in the month immediately before June in our list.
The months in order are: January, April, May, June, August, September, October.
⇒ P → May
Step 5: Verify with the counting clue
The clue says: "The number of members presenting before P is one more than the number of members presenting after R."
- Members before P (May): Q (Jan), and the April person = 2 members
- Members after R (Sep): U (Oct) = 1 member
- Check: 2 = 1 + 1 ✓
Step 6: Assign the last member (V) and the April report
The only unassigned member is V, who must go to April.
The clue states the member presenting in April works on Gamma:
⇒ V → April, Gamma
Step 7: Find who works on Zeta
The clue states: "There are four members presenting between Q and the one who works on Zeta."
Our chronological order of presentations is:
1. Q (January)
2. V (April)
3. P (May)
4. S (June)
5. T (August)
6. R (September)
7. U (October)
Starting from Q at position 1, counting 4 members between them means the Zeta person is at position 1 + 4 + 1 = 6, which is R (September).
⇒ R → Zeta
Step 8: Assign the remaining reports
Reports assigned: Beta (Q), Gamma (V), Alpha (S), Epsilon (T), Zeta (R), and from the clue U → October → Eta.
The only remaining report is Delta, which goes to P.
⇒ P → Delta, U → Eta
Complete 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 |
Therefore, the member who works on Zeta is R.
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