Question Details

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?

Options

A

22 October

B

11 November

C

11 October

D

22 November

E

22 September

Show Answer

Correct Answer :

Option E

22 September

Solution :

The correct answer is 22 September.

Let us analyze the given information step-by-step to determine the schedule and color preferences of the six persons.

1. Understanding the Dates and Months:
The visits take place on two dates, 11 and 22, in three months: September (30 days), October (31 days), and November (30 days).
This gives us 6 possible slots in chronological order:
1) 11 September (even-day month)
2) 22 September (even-day month)
3) 11 October (odd-day month)
4) 22 October (odd-day month)
5) 11 November (even-day month)
6) 22 November (even-day month)

2. Placing L and S:
- "L and S visit on same date and in the month of even numbered days."
The months with even number of days are September and November. Therefore, L and S must visit in September and November (one in each) on the same date (either both on the 11th or both on the 22nd).
- "The one who likes yellow visits three persons after L."
This means L must visit in slot 1 (11 September) or slot 2 (22 September). Let us test these cases.

Case 1: L visits on 11 September (Slot 1).
Since L and S visit on the same date (11th) and S must be in the other even-day month (November), S must visit on 11 November (Slot 5).
The one who likes yellow visits three persons after L, which means slot 1 + 3 = slot 4 (22 October). So, the person on 22 October likes yellow.
- "Two persons visit between S and R who likes green."
S is in slot 5. Two persons between S and R means R must be in slot 2 (22 September). R likes green.
- "Number of persons visit before R is same as the number of persons visit after V."
R is in slot 2 (1 person visits before R). Thus, 1 person must visit after V, which places V in slot 5 (11 November). But slot 5 is already occupied by S. This is a contradiction. Hence, Case 1 is invalid.

Case 2: L visits on 22 September (Slot 2).
Since L and S visit on the same date (22nd) and S is in the other even-day month (November), S must visit on 22 November (Slot 6).
The one who likes yellow visits three persons after L, which means slot 2 + 3 = slot 5 (11 November). So, the person on 11 November likes yellow.
- "Two persons visit between S and R who likes green."
S is in slot 6. Two persons between S and R means R must be in slot 3 (11 October). R likes green.
- "Number of persons visit before R is same as the number of persons visit after V."
R is in slot 3 (2 persons visit before R). Thus, 2 persons must visit after V, which places V in slot 4 (22 October). So, V is on 22 October.
Now we have:
Slot 1 (11 September): [Empty]
Slot 2 (22 September): L
Slot 3 (11 October): R (Green)
Slot 4 (22 October): V
Slot 5 (11 November): [Empty] (Yellow)
Slot 6 (22 November): S

3. Placing the remaining persons and colors:
- "The one who likes white visit just before H."
This means the slot immediately before H's slot is occupied by someone who likes white. Let's look at the available slots for H:
If H is in slot 2 (L), the one before (Slot 1) must like white. So, Slot 1 is White.
If H is in slot 5, the one before (Slot 4, V) must like white. So, V likes white.
- "No one visit between K and the one who likes blue."
This means K and the one who likes blue are in consecutive slots.
- Let's analyze if Slot 1 is White (H is L in Slot 2):
Then the table looks like:
Slot 1 (11 September): K/Others (White)
Slot 2 (22 September): L / H (But L and H are different persons, so L cannot be H. Thus H cannot be in Slot 2).
Therefore, H must be in Slot 5. The one who visits just before H (Slot 4, V) must like white. So, V (Slot 4) likes white, and H (Slot 5) likes yellow.
This leaves Slot 1 for K. So, K is in slot 1 (11 September).
Now the persons are:
Slot 1 (11 Sep): K
Slot 2 (22 Sep): L
Slot 3 (11 Oct): R (Green)
Slot 4 (22 Oct): V (White)
Slot 5 (11 Nov): H (Yellow)
Slot 6 (22 Nov): S

4. Determining the remaining colors:
- "No one visit between K and the one who likes blue."
This means the person adjacent to K (Slot 1) must like blue. The slot adjacent to Slot 1 is Slot 2 (L). Therefore, L (Slot 2) likes blue.
Since L visits on 22 September, the one who likes blue visits on 22 September.

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