Directions (91-95) : Study the following information carefully and answer the questions given below:
Eight persons P, Q, R, S, T, U, V and W (but not necessarily in the same order) were born on the 21st of eight different months i.e., January,February, March, April, May, June, July and August of the same year. Four persons were born between R and W who was born just after S. R and T were born in the adjacent month having 31 days. P was born three months before V. U was neither born in May nor in June.

How many persons were born between Q and S?

The correct option is Three.

Let's solve the puzzle step-by-step to find the number of persons born between Q and S.

First, list the eight months in order along with the number of days in each month:
1. January (31 days)
2. February (28/29 days)
3. March (31 days)
4. April (30 days)
5. May (31 days)
6. June (30 days)
7. July (31 days)
8. August (31 days)

Now, analyze the given clues step-by-step:

Clue 1: "R and T were born in the adjacent month having 31 days."
The adjacent months having 31 days are July and August. Therefore, R and T must be born in July and August in any order.

Clue 2: "Four persons were born between R and W who was born just after S."
- If R is born in August (Month 8), 4 persons between R and W means W must be born in March (Month 3). Since W was born just after S, S must be born in February (Month 2).
- If R is born in July (Month 7), 4 persons between R and W means W must be born in February (Month 2). Since W is born just after S, S must be born in January (Month 1).

Clue 3: "P was born three months before V."
This means the month index of V minus the month index of P equals 3 (i.e., Month_V - Month_P = 3).

Let's evaluate the cases:

Case 1: R in August (Month 8), T in July (Month 7)
Then W is in March (Month 3), and S is in February (Month 2).
Available months for P and V: January (1), April (4), May (5), June (6).
Since Month_V - Month_P = 3:
- If P is in January (1), V is in April (4).
Now the remaining months are May (5) and June (6) for U and Q.
However, the clue states: "U was neither born in May nor in June."
This leaves no valid position for U in Case 1. Thus, Case 1 is invalid.

Case 2: R in July (Month 7), T in August (Month 8)
Then W is in February (Month 2), and S is in January (Month 1).
Available months for P and V: March (3), April (4), May (5), June (6).
Since Month_V - Month_P = 3:
- If P is in March (3), V is in June (6).
Now the remaining months are April (4) and May (5) for U and Q.
Since U cannot be born in May, U must be born in April (4).
Therefore, Q must be born in May (5).

Let's summarize the final monthly distribution of births:
• January (31 days): S
• February (28/29 days): W
• March (31 days): P
• April (30 days): U
• May (31 days): Q
• June (30 days): V
• July (31 days): R
• August (31 days): T

Now, let's count the number of persons born between Q (May) and S (January):
The persons born between them are W (February), P (March), and U (April).

Thus, there are exactly Three persons born between Q and S.