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.

Who among the following was born two months after W?

Correct Answer: U

Step-by-step Explanation:

Let us analyze the given information step-by-step to determine the birth month of each person (P, Q, R, S, T, U, V, W).

1. List of Months:

The eight months in order, along with their total number of days, are:

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)

2. Analyzing the Clues:

• W was born just after S: S and W are in consecutive months with S immediately before W.

• Four persons were born between R and W: There is a gap of 4 months between the month of R and the month of W.

• R and T were born in adjacent months having 31 days: The consecutive 31-day months in our list are July and August. Therefore, R and T must be born in July and August (in some order).

• P was born three months before V: The difference between V's month number and P's month number is 3 (i.e., Month_V - Month_P = 3).

• U was neither born in May nor in June.

3. Determining the positions of R, T, S, and W:

Since R and T are in adjacent 31-day months, R must be either in July (month 7) or August (month 8).

Case A: R is born in August (month 8).

• Since four persons were born between R and W, W must be born 5 months before August, which is Month 8 - 5 = Month 3 (March).

• Since W was born just after S, S must be born in Month 2 (February).

• Then T must be born in July (Month 7), which satisfies R and T being in adjacent 31-day months (July and August).

Case B: R is born in July (month 7).

• If R is in July (Month 7), W would have to be in Month 7 - 5 = Month 2 (February). S would then be in Month 1 (January). T would be in August (Month 8).

• Let's check P and V for Case B: Remaining months are March (3), April (4), May (5), June (6). The only gap of 3 months for P and V (where Month_V - Month_P = 3) is P in March (3) and V in June (6). That leaves May (5) and August (8) for U and Q. But U cannot be born in May, so U would be in August and Q in May. However, let's verify if Case A gives a completely valid arrangement as well.

Let's evaluate Case A completely:

• March (Month 3) = W

• February (Month 2) = S

• August (Month 8) = R

• July (Month 7) = T

Remaining available months: January (1), April (4), May (5), June (6).

• P was born three months before V (Month_V - Month_P = 3):

If P is born in January (Month 1), then V is born in April (Month 4). This works perfectly!

Now, remaining months are May (Month 5) and June (Month 6).

Since U was neither born in May nor in June, U cannot be placed in May or June in Case A. Thus, Case A is invalid.

Now, let's refine Case B:

• July (Month 7) = R

• August (Month 8) = T

• February (Month 2) = W

• January (Month 1) = S (since W is just after S)

Remaining available months: March (3), April (4), May (5), June (6).

• P is born 3 months before V:

P is in March (Month 3) and V is in June (Month 6).

Remaining months: April (Month 4) and May (Month 5).

• U is not born in May, so U must be born in April (Month 4).

• Consequently, Q must be born in May (Month 5).

Final Month-wise Schedule:

1. January: S

2. February: W

3. March: P

4. April: U

5. May: Q

6. June: V

7. July: R

8. August: T

Question Breakdown:

The question asks: Who among the following was born two months after W?

• W was born in February (Month 2).

• Two months after February (Month 2 + 2 = Month 4) is April.

• The person born in April is U.

Therefore, U was born two months after W.