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.
Who among the following visit on 22 October?
Correct Answer :
V
Solution :
To find who visits on 22 October, let us represent the six visiting slots chronologically:
1. 11 September (30 days)
2. 22 September (30 days)
3. 11 October (31 days)
4. 22 October (31 days)
5. 11 November (30 days)
6. 22 November (30 days)
Let us analyze the clues step-by-step:
Step 1: Determine the positions of L and S
- L and S visit on the same date (both on the 11th or both on the 22nd) and both visit in months with an even number of days (September and November, which have 30 days each).
- The person who likes yellow visits three persons after L. This means L must visit in one of the first three slots (11 September, 22 September, or 11 October). Since L's month must have an even number of days, L can only visit on 11 September or 22 September.
Case 1: L and S visit on the 11th
- L visits on 11 September (Slot 1) and S visits on 11 November (Slot 5).
- The one who likes yellow visits three persons after L, which is 22 October (Slot 4).
- Two persons visit between S (Slot 5) and R (who likes green). So, R must visit on 22 September (Slot 2).
- The number of persons visiting before R (1 person) is the same as the number of persons visiting after V. This means V must visit on 11 November (Slot 5). However, S is already scheduled for 11 November, leading to a contradiction. Thus, Case 1 is invalid.
Case 2: L and S visit on the 22nd
- L visits on 22 September (Slot 2) and S visits on 22 November (Slot 6).
- The one who likes yellow visits three persons after L, which is 11 November (Slot 5).
- Two persons visit between S (Slot 6) and R (who likes green). So, R must visit on 11 October (Slot 3).
- The number of persons visiting before R (2 persons: on 11 Sep and 22 Sep) is the same as the number of persons visiting after V. This means V must visit on 22 October (Slot 4, with 2 persons visiting after: on 11 Nov and 22 Nov).
Step 2: Place the remaining persons and colors
- The remaining slots for persons are 11 September (Slot 1) and 11 November (Slot 5).
- The one who likes white visits just before H. Since Slot 5 is occupied by H, the one who likes white must be V at Slot 4 (22 October).
- This leaves Slot 1 (11 September) for K.
- K and the one who likes blue visit adjacent to each other. Since K is at Slot 1, L (Slot 2) must like blue.
- The one who likes red visits before the one who likes pink. The remaining slots for colors are Slot 1 (K) and Slot 6 (S). Thus, K likes red and S likes pink.
Comparing the final arrangement:
- 11 September: K (Red)
- 22 September: L (Blue)
- 11 October: R (Green)
- 22 October: V (White)
- 11 November: H (Yellow)
- 22 November: S (Pink)
Therefore, V visits on 22 October.
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