Study the following information carefully and answer the questions given below:
Eight persons – P, Q, R, S, T, U, V, and W were born in different months – January, February, April, May, July, August, October, and November of the same year, but not necessarily in the same order. Q was born in a month which has 30 days, but not in November. Four persons were born between Q and V. Two persons were born between V and T. P was born in the month of January. R was born in the month which has fewer than 30 days. S was born in the month immediately preceding July. W was born in the month immediately preceding U.
Study the following information carefully and answer the questions given below:
How many persons were born between R and T?
Correct Answer :
Two
Solution :
Correct Answer: The correct option is Two.
Step-by-step Explanation:
Let's analyze the given information step-by-step to determine the birth months of all eight persons (P, Q, R, S, T, U, V, and W).
First, list the months in order along with the number of days in each month:
1. January (31 days)
2. February (28/29 days – fewer than 30 days)
3. April (30 days)
4. May (31 days)
5. July (31 days)
6. August (31 days)
7. October (31 days)
8. November (30 days)
Now, let's place the persons step-by-step using the given clues:
Clue 1: "P was born in the month of January."
- January: P
Clue 2: "R was born in the month which has fewer than 30 days."
- The only month with fewer than 30 days is February.
- February: R
Clue 3: "S was born in the month immediately preceding July."
- The month immediately preceding July in our list is May.
- May: S
Clue 4: "Q was born in a month which has 30 days, but not in November."
- The months with 30 days are April and November.
- Since Q was not born in November, Q must be born in April.
- April: Q
Clue 5: "Four persons were born between Q and V."
- Q is in April (4th position). Counting 4 months after April gives August (6th position) or October/November. Let's count the positions:
Position 3: April (Q)
Position 4: May
Position 5: July
Position 6: August
Position 7: October
Position 8: November (V, which is 4 positions away: May, July, August, October are between Q and V)
So, 4 persons are born between April and November.
- November: V
Clue 6: "Two persons were born between V and T."
- V is in November (8th month in our list).
- Moving 2 persons back from November (October, August are between), T must be born in July.
- July: T
Clue 7: "W was born in the month immediately preceding U."
- The remaining empty months are August and October.
- Since W was born immediately before U, W must be born in August and U in October.
- August: W
- October: U
Final Arrangement:
1. January: P
2. February: R
3. April: Q
4. May: S
5. July: T
6. August: W
7. October: U
8. November: V
Question: How many persons were born between R and T?
- R was born in February.
- T was born in July.
- The persons born between February and July are Q (April) and S (May).
Therefore, exactly 2 (Two) persons were born between R and T.
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