Directions: Study the following information carefully and answer the questions given below:

Six individuals – P, Q, R, S, T, and U – scheduled their vacation trips in three different months – March, June, and November – on two distinct dates, namely 11th and 18th of the same year. Each individual visits a different city – Boston, Dallas, Miami, Seattle, Chicago, and Denver. All the given information is not necessarily applied in the same order.

The one who visits Boston was scheduled two persons before R. Q was scheduled immediately before R on an even date. T was scheduled immediately before U on an odd date in a month having 30 days. Two persons were scheduled between U and the person visiting Miami. Two persons were scheduled between the ones visiting Boston and Chicago. P was scheduled before the one who visits Denver and two persons after the one who visits Seattle. U doesn’t visit Seattle.

Which of the following combinations is correctly matched?

The correct answer is P – Chicago, 18th June.

Step-by-step Explanation:

First, let's arrange the given months and dates in chronological order along with the number of days in each month:
1. 11th March (31 days)
2. 18th March (31 days)
3. 11th June (30 days)
4. 18th June (30 days)
5. 11th November (30 days)
6. 18th November (30 days)

Step 1: Determining the positions of Boston, Q, and R
- "The one who visits Boston was scheduled two persons before R."
- "Q was scheduled immediately before R on an even date."
Since dates are 11th (odd) and 18th (even), Q must be on the 18th of a month. Thus, Boston, Q, and R form three consecutive slots where Boston is on the 11th, Q is on the 18th of the same month, and R is on the 11th of the following month.
There are two possible cases:
- Case 1: Q is on 18th March (Slot 2). Then Boston is on 11th March (Slot 1) and R is on 11th June (Slot 3).
- Case 2: Q is on 18th June (Slot 4). Then Boston is on 11th June (Slot 3) and R is on 11th November (Slot 5).

Step 2: Determining the position of T and U
- "T was scheduled immediately before U on an odd date in a month having 30 days."
The odd dates in 30-day months are 11th June (Slot 3) and 11th November (Slot 5).
- In Case 2, both Slot 3 (Boston) and Slot 5 (R) are occupied, leaving no place for T. Thus, Case 2 is invalid.
- In Case 1, Slot 3 is occupied by R, so T must be on 11th November (Slot 5), and U must be on 18th November (Slot 6).

Step 3: Determining cities for R and Chicago
- "Two persons were scheduled between U and the person visiting Miami."
Since U is at Slot 6 (18th November), the person visiting Miami must be at Slot 3 (11th June). Therefore, R visits Miami.
- "Two persons were scheduled between the ones visiting Boston and Chicago."
Since Boston is at Slot 1 (11th March), Chicago must be at Slot 4 (18th June).

Step 4: Placing P, S, Seattle, and Denver
- "P was scheduled before the one who visits Denver and two persons after the one who visits Seattle."
This means Seattle is 2 slots before P (Seattle, _, P).
Placing P at Slot 4 (18th June) means Seattle is at Slot 2 (18th March, visited by Q).
Thus, S takes the remaining individual slot at Slot 1 (11th March).
P (18th June) is scheduled before the person visiting Denver (T or U), and P visits Chicago.

Final Schedule:
- 11th March: S – Boston
- 18th March: Q – Seattle
- 11th June: R – Miami
- 18th June: P – Chicago
- 11th November: T – Denver / Dallas
- 18th November: U – Dallas / Denver

Checking the given options, the combination P – Chicago, 18th June is correctly matched.