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.

How many persons visit between K and H?

Options

A

None

B

One

C

Two

D

Three

E

Four

Show Answer

Correct Answer :

Option D

Three

Three

Solution :

To find the number of persons visiting between K and H, we can systematically analyze the given clues and reconstruct the schedule step-by-step.

1. Understanding the Schedule Structure
There are three months, each with two dates (11 and 22):

  • September (30 days - Even month): 11th and 22nd
  • October (31 days - Odd month): 11th and 22nd
  • November (30 days - Even month): 11th and 22nd
This gives us 6 chronological slots:
  1. September 11
  2. September 22
  3. October 11
  4. October 22
  5. November 11
  6. November 22

2. Placing L and S
Clue: "L and S visit on same date and in the month of even numbered days."
The even-day months are September and November. Therefore, L and S must visit on either both the 11th or both the 22nd of September and November.

Let's analyze the two possibilities:

  • Case 1: L and S visit on the 11th (L on Sep 11, S on Nov 11).
    - Two persons visit between S (Nov 11, position 5) and R (who likes green). So, R must be at Sep 22 (position 2).
    - Clue: "Number of persons visit before R is same as the number of persons visit after V."
    - Since 1 person visits before R, 1 person must visit after V, placing V at Nov 11 (position 5). However, S is already at Nov 11, creating a conflict. Thus, Case 1 is invalid.

  • Case 2: L and S visit on the 22nd (L on Sep 22, S on Nov 22).
    - Two persons visit between S (Nov 22, position 6) and R. This places R at Oct 11 (position 3).
    - Clue: "Number of persons visit before R is same as the number of persons visit after V."
    - Since 2 persons visit before R (positions 1 and 2), exactly 2 persons must visit after V. This places V at Oct 22 (position 4).
This gives us the following layout:
Position Month & Date Person Color
1 September 11 - -
2 September 22 L -
3 October 11 R Green
4 October 22 V -
5 November 11 - -
6 November 22 S -

3. Placing the Remaining Persons and Colors
- Clue: "The one who likes yellow visits three persons after L."
Since L is at position 2, the person who likes yellow visits at position 2+3=5 (November 11).
- Clue: "The one who likes white visit just before H."
H must be at position 5 (November 11) because if H were at position 1, no one could visit before him. Thus, the person at position 4 (V) likes White, and H is at position 5 (who also likes Yellow).
- This leaves position 1 for K (September 11).
- Clue: "No one visit between K and the one who likes blue."
Since K is at position 1, the person next to him at position 2 (L) must like Blue.
- Clue: "The one who likes red visits before the one who likes pink."
This means K (position 1) likes Red and S (position 6) likes Pink.

Final Complete Table:

Position Month & Date Person Color
1 September 11 K Red
2 September 22 L Blue
3 October 11 R Green
4 October 22 V White
5 November 11 H Yellow
6 November 22 S Pink

4. Answering the Question
We need to find how many persons visit between K (position 1) and H (position 5).
The persons visiting between them are L (position 2), R (position 3), and V (position 4).
Therefore, exactly Three persons visit between K and H.

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