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 color does S like?
Correct Answer :
Pink
Solution :
To find the color that S likes, we can reconstruct the schedule step-by-step based on the given clues.
First, let's list the six possible visiting dates in chronological order:
1. September 11
2. September 22
3. October 11
4. October 22
5. November 11
6. November 22
Let's analyze the months and their number of days:
- September: 30 days (even)
- October: 31 days (odd)
- November: 30 days (even)
Step 1: Determine the positions of L and S
We are told that L and S visit on the same date and in a month of even numbered days (September and November).
This means L and S must visit on the same date (either both on the 11th or both on the 22nd), with one visiting in September and the other in November.
Additionally, the one who likes yellow visits three persons after L.
If L visits in November (position 5 or 6), it is impossible for someone to visit 3 persons after L. Therefore, L must visit in September, and S must visit in November.
Let's evaluate the two possibilities for the date:
Case 1: L and S visit on the 11th.
- L visits on September 11 (Position 1).
- Yellow visits 3 persons after L, which is October 22 (Position 4).
- S visits on November 11 (Position 5).
- Two persons visit between S and R (who likes green): Since S is at Position 5, R must be at Position 2 (September 22). R likes green.
- Number of persons visiting before R (1 person) is the same as the number of persons visiting after V: This means 1 person visits after V, so V must be at Position 5. However, S is already at Position 5. This is a contradiction, so Case 1 is invalid.
Case 2: L and S visit on the 22nd.
- L visits on September 22 (Position 2).
- Yellow visits 3 persons after L, which is November 11 (Position 5).
- S visits on November 22 (Position 6).
- Two persons visit between S and R (who likes green): Since S is at Position 6, R must be at Position 3 (October 11). R likes green.
- Number of persons visiting before R (2 persons) is the same as the number of persons visiting after V: This means 2 persons visit after V, so V must be at Position 4 (October 22).
Step 2: Place the remaining persons and colors
Currently, our schedule looks like this:
1. September 11: [Empty]
2. September 22: L
3. October 11: R (Green)
4. October 22: V
5. November 11: [Name] (Yellow)
6. November 22: S
We need to place the clue: The one who likes white visits just before H.
This requires two consecutive positions where the first is free for the color White and the second is free for the name H.
- The only consecutive spots available for White and H are Position 4 (V) and Position 5 (which is currently unnamed and likes Yellow).
- Thus, V (Position 4) likes White, and H is at Position 5 (who likes Yellow).
This leaves only Position 1 (September 11) for the remaining person, K:
1. September 11: K
2. September 22: L
3. October 11: R (Green)
4. October 22: V (White)
5. November 11: H (Yellow)
6. November 22: S
Now, let's assign the remaining colors:
- No one visits between K and the one who likes blue: K is at Position 1, so the person at Position 2 (L) must like Blue.
- The one who likes red visits before the one who likes pink: The remaining positions for Red and Pink are Position 1 (K) and Position 6 (S). Since Red visits before Pink, K (Position 1) must like Red, and S (Position 6) must like Pink.
Conclusion:
S visits on November 22 and likes Pink.
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