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.

Which of the following color does S like?

Options

A

Red

B

Blue

C

Pink

D

White

E

Yellow

Show Answer

Correct Answer :

Option C

Pink

Pink

Solution :

To determine the color that S likes, let us analyze the given information step-by-step.

First, we list the six visiting dates in chronological order:
1. September 11
2. September 22
3. October 11
4. October 22
5. November 11
6. November 22

The months September (30 days) and November (30 days) have an even number of days, while October (31 days) has an odd number of days.

Step 1: Determine the positions of L and S
We are given that L and S visit on the same date in a month of even numbered days. Thus, they must visit on either the 11th or 22nd of September and November.
We also know that the one who likes yellow visits three persons after L. This means L cannot visit in November (as no one can visit three slots after November). Therefore, L must visit in September, and S must visit in November.
This gives us two cases:
Case 1: L visits on September 11 (Position 1) and S visits on November 11 (Position 5).
Case 2: L visits on September 22 (Position 2) and S visits on November 22 (Position 6).

Step 2: Testing Case 1
If L is at Position 1, the person who likes yellow visits three persons after L, which is Position 4 (October 22).
Two persons visit between S (Position 5) and R, which means R must visit at Position 2 (September 22). R likes green.
The number of persons visiting before R (1 person, at Position 1) is the same as the number of persons visiting after V. This implies that V must visit at Position 5. However, Position 5 is already occupied by S. This is a contradiction. Therefore, Case 1 is incorrect.

Step 3: Testing Case 2
If L is at Position 2 (September 22), the person who likes yellow visits three persons after L, which is Position 5 (November 11).
S visits at Position 6 (November 22). Two persons visit between S and R, which means R must visit at Position 3 (October 11). R likes green.
The number of persons visiting before R (2 persons, at Positions 1 and 2) is the same as the number of persons visiting after V. This means V must visit at Position 4 (October 22), leaving 2 persons visiting after V (Positions 5 and 6).
Our table so far:
1. _ (Color: _)
2. L (Color: _)
3. R (Color: Green)
4. V (Color: _)
5. _ (Color: Yellow)
6. S (Color: _)

Step 4: Placing the remaining persons and colors
The remaining persons are H and K. The empty positions for persons are Position 1 and Position 5.
We are told that the one who likes white visits just before H.
If H visits at Position 1, there is no position before it for the white-color lover. Hence, H must visit at Position 5, which means the person at Position 4 (V) likes white.
This leaves K to visit at Position 1.
Next, we know that no one visits between K (Position 1) and the one who likes blue. This means the person next to K, which is L (Position 2), must like blue.
Finally, the remaining colors are red and pink. Since the one who likes red visits before the one who likes pink, K (Position 1) must like red, and S (Position 6) must like pink.

The final arrangement is:
1. K (Red)
2. L (Blue)
3. R (Green)
4. V (White)
5. H (Yellow)
6. S (Pink)

Therefore, S likes Pink.

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