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?

Correct Answer: Three

Step-by-Step Explanation:

Let's analyze the given information step-by-step to arrange the eight persons—P, Q, R, S, T, U, V, and W—in order of their birth months (January to August of the same year).

1. Months and number of days:

• January (31 days)
• February (28/29 days)
• March (31 days)
• April (30 days)
• May (31 days)
• June (30 days)
• July (31 days)
• August (31 days)

2. Analyzing Clues:

• "W was born just after S." This means S and W are consecutive (S, then W).
• "Four persons were born between R and W."
• "R and T were born in adjacent months having 31 days each." The only consecutive months both having 31 days are July and August. So, R and T must occupy July and August in some order.
• Since R is in July or August, let's test these possibilities:

Case 1: R is born in August (31 days)
• If R is in August (Month 8), then 4 persons are born between R and W, placing W in March (Month 3).
• Since W is born just after S, S must be born in February (Month 2).
• Since R is in August, T must be in July (Month 7), as July and August are adjacent months with 31 days.
• Clue: "P was born three months before V." This means the month gap between P and V is 3 months (i.e., Month of V - Month of P = 3).
Let's check available open months: January (1), April (4), May (5), June (6).
- If P is in January (1), then V must be in April (1 + 3 = 4). This fits!
• Now we have remaining months: May (5) and June (6) for U and Q.
• Clue: "U was neither born in May nor in June." But here, the only remaining positions for U are May or June! This creates a contradiction. Thus, Case 1 is invalid.

Case 2: R is born in July (31 days)
• If R is in July (Month 7), then 4 persons are born between R and W, placing W in February (Month 2).
• Since W is born just after S, S must be born in January (Month 1).
• Since R is in July, T must be in August (Month 8), which is the adjacent 31-day month.
• Clue: "P was born three months before V." (Month of V - Month of P = 3).
Available open months: March (3), April (4), May (5), June (6).
- If P is in March (3), then V is in June (3 + 3 = 6). This fits perfectly!
• Available months left: April (4) and May (5) for U and Q.
• Clue: "U was neither born in May nor in June." Since May is open and U cannot be born in May, U must be born in April (4).
• This leaves Q to be born in May (5).

Final Arrangement:

1. January: S
2. February: W
3. March: P
4. April: U
5. May: Q
6. June: V
7. July: R
8. August: T

Answering the Question:

We need to find how many persons were born between Q (May) and S (January):
Between January (S) and May (Q), the persons born are February (W), March (P), and April (U).

Therefore, there are exactly Three persons (W, P, and U) born between Q and S.