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
Solution :
Correct Answer: U
Step-by-Step Explanation:
Let's analyze the given information step-by-step to determine the month in which each of the eight persons (P, Q, R, S, T, U, V, and W) was born.
List of Months and their Days:
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)
Analyzing the Clues:
1. "P was born three months before V."
This means the month gap between P and V is 3 months (i.e., if P is in month m, then V is in month m + 3).
Possible pairs for (P, V):
- (January, April)
- (February, May)
- (March, June)
- (April, July)
- (May, August)
2. "Four persons were born between R and W who was born just after S."
- S and W are born in consecutive months (S immediately followed by W).
- There are exactly 4 months between R and W.
3. "R and T were born in the adjacent month having 31 days."
- R and T are born in adjacent months (consecutive months), and both of those adjacent months must have 31 days.
- Looking at our list of months, the only consecutive months that BOTH have 31 days are July and August.
- Therefore, the pair {R, T} must be in {July, August}.
Determining the exact positions of R, T, S, and W:
Since {R, T} are in July and August:
- Case 1: If R is born in August:
Four months before August (R) gives us February for W.
Since W was born just after S, S must be born in January.
Then T must be born in July (since {R, T} = {July, August}).
- Case 2: If R is born in July:
Four months before July (R) gives us January for W.
However, S must be born before W, but there is no month before January in this list! Thus, Case 2 is invalid.
So, we have:
- January: S
- February: W
- July: T
- August: R
Placing P and V:
From clue 1, P is born 3 months before V.
Let's test remaining available months: March, April, May, June.
- If P is born in January: occupied by S.
- If P is born in February: occupied by W.
- If P is born in March: V would be in March + 3 = June. Both March and June are currently vacant!
So, P is born in March and V is born in June.
Placing U and Q:
Remaining vacant months are April and May.
We are given: "U was neither born in May nor in June."
Since U cannot be born in May, U must be born in April.
The remaining person, Q, must be born in May.
Final Arrangement:
- January: S
- February: W
- March: P
- April: U
- May: Q
- June: V
- July: T
- August: R
Question Resolution:
"Who among the following was born two months after W?"
W was born in February. Two months after February is April (February + 2 months = April).
The person born in April is U.
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