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.
The one who likes blue, visit on which of the following date?
Correct Answer :
22 September
22 September
Solution :
The correct option is 22 September.
Let's analyze the given details step-by-step to arrange the six persons and their liked colors according to their visiting dates.
Step 1: Understand the dates and months.
The three months are:
- September (30 days - even numbered days)
- October (31 days - odd numbered days)
- November (30 days - even numbered days)
The dates available in each month are 11 and 22.
So, the order of the 6 slots is:
1. 11 September
2. 22 September
3. 11 October
4. 22 October
5. 11 November
6. 22 November
Step 2: Place L and S based on the clues.
- "L and S visit on same date and in the month of even numbered days."
Since September and November are the months with even-numbered days (30 days each), L and S must visit in September and November on the same date (either both on date 11 or both on date 22).
- "The one who likes yellow visits three persons after L."
This means the person who likes yellow is at position (Position of L + 3).
For this to fit within the 6 positions, L can only be at position 1 (11 September) or position 2 (22 September) or position 3 (11 October). But L must be in a month of even numbered days, so L is in September (Position 1 or 2).
If L is at 11 September (Position 1), then Yellow is at 22 October (Position 4). In this case, S must be at 11 November (Position 5) to share the same date (11) in an even-numbered month.
If L is at 22 September (Position 2), then Yellow is at 11 November (Position 5). In this case, S must be at 22 November (Position 6) to share the same date (22) in an even-numbered month.
Step 3: Test the positions for S, R, and V.
- "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."
Case 1: L is at 11 September (Pos 1), S is at 11 November (Pos 5).
Two persons visit between S (Pos 5) and R, so R is at position 2 (22 September).
R likes Green.
If R is at Pos 2 (1 person before R), then V must have 1 person after V, placing V at Pos 5. But S is already at Pos 5! This creates a clash. Hence, Case 1 is invalid.
Case 2: L is at 22 September (Pos 2), S is at 22 November (Pos 6).
Two persons visit between S (Pos 6) and R, so R is at position 3 (11 October).
R likes Green.
If R is at Pos 3 (2 persons before R), then V must have 2 persons after V, placing V at Pos 4 (22 October). This works!
Step 4: Determine remaining persons and colors.
From Case 2:
Pos 1: 11 September
Pos 2: 22 September - L
Pos 3: 11 October - R (Green)
Pos 4: 22 October - V
Pos 5: 11 November - Yellow
Pos 6: 22 November - S
Now let's place H and K:
- "The one who likes white visit just before H."
- "No one visit between K and the one who likes blue." (K is immediately next to the person who likes blue)
Since positions 2, 3, 4, 6 are filled by L, R, V, S, the remaining positions 1 and 5 must be filled by H and K.
Since the one who likes white visits just before H, H cannot be at position 1. So H must be at position 5 (11 November), and White must be at position 4 (22 October - V likes White).
Thus, K must be at position 1 (11 September).
- "No one visit between K and the one who likes blue."
Since K is at position 1, the person who likes blue must be at position 2 (22 September - L likes Blue).
Finally, for colors:
- "The one who likes red visits before the one who likes pink."
K (Pos 1) likes Red, and S (Pos 6) likes Pink.
Final Schedule:
- 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, the one who likes blue (L) visits on 22 September.
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