Read the given information carefully and answer the questions based on it:

Six persons visit a place on two dates 11 and 22 in three different months i.e., September, October and November. They all like different colors viz. white, blue, pink, green, red and yellow but not necessarily in the same order as given.

The one who likes yellow visits three persons after L. L and S visit on same date and in the month of even numbered days. Two persons visit between S and R who likes green. Number of persons visit before R is same as the number of persons visit after V. The one who likes white visit just before H. No one visit between K and the one who likes blue. The one who likes red visits before the one who likes pink.

Which of the following statement(s) is/are true?
I. The one who likes green is the last one to visit
II. H likes pink
III. More than two persons visit before V

The correct answer is Only III.

Step-by-Step Explanation:

Let's analyze the given information step-by-step to determine the schedule of the six persons.

1. Understanding the Months and Dates:

The six visits take place on dates 11 and 22 in three different months:

• September (30 days - even number of days)

• October (31 days - odd number of days)

• November (30 days - even number of days)

This gives 6 slots in chronological order:

1. September 11

2. September 22

3. October 11

4. October 22

5. November 11

6. November 22

2. Placing L, S, and Yellow:

• "L and S visit on same date and in the month of even numbered days."

The months with an even number of days (30 days) are September and November. Since L and S visit on the same date, one must visit in September and the other in November, both on either the 11th or the 22nd.

• "The one who likes yellow visits three persons after L."

Visiting "three persons after L" means if L is at slot x, the person who likes yellow is at slot x + 3.

For x + 3 to be a valid position (at most 6), x can only be 1, 2, or 3.

Since L must be in a month with 30 days on either date 11 or 22, L must be in September (slot 1 or 2).

If L is at September 11 (slot 1), then S must be at November 11 (slot 5), and Yellow is at October 22 (slot 1 + 3 = 4).

If L is at September 22 (slot 2), then S must be at November 22 (slot 6), and Yellow is at November 11 (slot 2 + 3 = 5).

3. Placing R (Green) and V:

• "Two persons visit between S and R who likes green."

Case A: S is at November 11 (slot 5). Two persons between S and R means R must be at September 22 (slot 2).

Case B: S is at November 22 (slot 6). Two persons between S and R means R must be at October 11 (slot 3).

• "Number of persons visit before R is same as the number of persons visit after V."

In Case A: R is at slot 2 (1 person before R). Thus, 1 person visits after V, placing V at slot 5 (November 11). But slot 5 is already occupied by S! So Case A is invalid.

In Case B: R is at slot 3 (2 persons before R). Thus, 2 persons visit after V, placing V at slot 4 (October 22).

Therefore, Case B is correct!

Let's map out the positions so far:

• Slot 1 (September 11): Unoccupied

• Slot 2 (September 22): L

• Slot 3 (October 11): R (Green)

• Slot 4 (October 22): V

• Slot 5 (November 11): Yellow

• Slot 6 (November 22): S

4. Placing the Remaining Persons (H and K) and Colors:

• "The one who likes white visit just before H."

• "No one visit between K and the one who likes blue." (This means K and Blue are adjacent).

• The remaining slots for persons are Slot 1 and Slot 5. The remaining persons are H and K.

Since White is just before H, H cannot be in Slot 1. Therefore, H must be in Slot 5 (November 11), and the person in Slot 4 (V) likes White.

This leaves Slot 1 (September 11) for K.

Since K is adjacent to Blue, the person at Slot 2 (L) must like Blue.

• "The one who likes red visits before the one who likes pink."

The remaining colors are Red and Pink, to be assigned to K (Slot 1) and S (Slot 6). Since Red is before Pink, K likes Red and S likes Pink.

Final Seating Arrangement:

1. September 11: K (Red)

2. September 22: L (Blue)

3. October 11: R (Green)

4. October 22: V (White)

5. November 11: H (Yellow)

6. November 22: S (Pink)

Evaluating the Statements:

I. The one who likes green is the last one to visit - False (S, who likes pink, is the last one to visit).

II. H likes pink - False (H likes yellow).

III. More than two persons visit before V - True (3 persons visit before V: K, L, and R).

Hence, only statement III is true.