Question Details

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 in April?

Options

A

W

B

P

C

Q

D

U

Show Answer

Correct Answer :

Option D

U

Solution :

The correct answer is Option U (U was born in April).


Step-by-Step Explanation:


1. Understand the given setup:

Eight persons—P, Q, R, S, T, U, V, and W—were born on the 21st of eight months in the same year: January, February, March, April, May, June, July, and August.

Let's list the months along with the number of days in each:

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. Analyze the clues step-by-step:

Clue 1: "W was born just after S." This means S and W are consecutive: (S, W).

Clue 2: "Four persons were born between R and W."

Clue 3: "R and T were born in adjacent months having 31 days."

Looking at the list of months, adjacent months both having 31 days are July and August. Thus, R and T must occupy July and August (in some order).


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

Since R must be in July or August:

Case A: If R is born in August (Month 8):
Four 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).
Since R is in August and R and T are in adjacent 31-day months, T must be in July (Month 7).

Case B: If R is born in July (Month 7):
Four persons between R and W means W must be born in February (Month 2).
Since W is just after S, S would have to be in January (Month 1).
Then T would be in August (Month 8).


4. Use Clue 4: "P was born three months before V."

This means if V is in month m, P is in month m-3.

Let's test Case A (R = August, T = July, S = February, W = March):
Available months for P, V, U, Q are: January (1), April (4), May (5), June (6).
• If V is in June (Month 6), P must be in March (Month 3) — occupied by W. (Invalid)
• If V is in May (Month 5), P must be in February (Month 2) — occupied by S. (Invalid)
• If V is in April (Month 4), P must be in January (Month 1). This is VALID!

So, P is in January and V is in April.

Now, remaining months in Case A are May and June, and remaining persons are U and Q.
Clue 5 states: "U was neither born in May nor in June."
In Case A, U would have to be in May or June, which contradicts Clue 5. Thus, Case A is invalid!

Now let's test Case B (R = July, T = August, S = January, W = February):
Occupied months so far: January (S), February (W), July (R), August (T).
Available months: March (3), April (4), May (5), June (6).
• P is three months before V:
- If V is in July (Month 7) — occupied by R. (Invalid)
- If V is in June (Month 6), P must be in March (Month 3). This is VALID!
So, P = March, V = June.

Now the remaining available months are April (4) and May (5).
Clue 5 states: "U was neither born in May nor in June."
Therefore, U cannot be in May, so U must be born in April.
This leaves Q to be born in May.


5. Final Schedule Summary:

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


Thus, U was born in April.

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