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

Show Answer

Correct Answer :

Option D

Three

Solution :

The correct option is Three.

Let's analyze the given information step-by-step to determine the exact schedule of the six persons: L, S, R, V, H, and K, along with their liked colors (white, blue, pink, green, red, yellow).

Step 1: Understanding the structure
There are three months: September (30 days), October (31 days), and November (30 days).
Each month has two dates: 11 and 22.
So, the 6 available slots in chronological order are:
1. September 11
2. September 22
3. October 11
4. October 22
5. November 11
6. November 22

Step 2: Placing L, S, R, and Yellow
- "L and S visit on same date and in the month of even numbered days."
Months with even numbered days (30 days) are September and November. Since L and S visit in a month with even numbered days on the same date, both L and S must visit on date 11 or both on date 22 of September/November. Thus, one of them is in September and the other is in November on the same date (11 or 22).
- "The one who likes yellow visits three persons after L."
This means:
Yellow's Position = L's Position + 3.
Since there are 6 slots, L can only be in slot 1, 2, or 3.
If L is in slot 1 (September 11), then Yellow is in slot 4 (October 22). Since S visits on the same date (11th) in the month of even numbered days (November), S must be on November 11 (slot 5).
Let's check this arrangement:
Slot 1 (Sep 11): L
Slot 2 (Sep 22):
Slot 3 (Oct 11):
Slot 4 (Oct 22): [Yellow]
Slot 5 (Nov 11): S
Slot 6 (Nov 22):

Step 3: Placing R (Green) and V
- "Two persons visit between S and R who likes green."
S is in slot 5. Moving 2 persons before S gives slot 2 for R.
So, R visits on September 22 (slot 2) and likes green.
- "Number of persons visit before R is same as the number of persons visit after V."
There is 1 person before R (slot 1). Therefore, there must be 1 person after V, which places V in slot 5. But slot 5 is already occupied by S. Hence, this arrangement works if V is in slot 5, but S is at slot 5. Wait, let's re-verify: slot 2 has 1 person before it. The slot with 1 person after it is slot 5. So V must be in slot 5! But slot 5 is occupied by S! This means L cannot be on date 11.

Let's try L on date 22 (slot 2):
If L is on September 22 (slot 2):
Yellow is 3 persons after L → slot 5 (November 11).
Since S is on the same date (22nd) in an even-numbered month (November), S must be on November 22 (slot 6).
Let's check this schedule:
Slot 1 (Sep 11):
Slot 2 (Sep 22): L
Slot 3 (Oct 11):
Slot 4 (Oct 22):
Slot 5 (Nov 11): [Yellow]
Slot 6 (Nov 22): S

- "Two persons visit between S and R who likes green."
S is in slot 6. Two persons between S and R means R is in slot 3 (October 11).
R likes green.
- "Number of persons visit before R is same as the number of persons visit after V."
There are 2 persons before R (slots 1 and 2). Thus, there must be 2 persons after V, which places V in slot 4 (October 22).

Now the persons in slots are:
Slot 1 (Sep 11):
Slot 2 (Sep 22): L
Slot 3 (Oct 11): R (Green)
Slot 4 (Oct 22): V
Slot 5 (Nov 11): [Yellow]
Slot 6 (Nov 22): S

Step 4: Placing H, K, and colors
- Remaining persons to place: H and K for slots 1 and 5.
- "The one who likes white visit just before H."
If H is in slot 1, there is no slot before it. So H cannot be in slot 1.
Therefore, H must be in slot 5 (November 11), and K must be in slot 1 (September 11).
Since H is in slot 5, the one who likes white visits just before H, which is slot 4 (V likes white).
Also, H (slot 5) likes yellow.

- "No one visit between K and the one who likes blue."
K is in slot 1. The person adjacent to K is slot 2 (L). So L likes blue.

- "The one who likes red visits before the one who likes pink."
The remaining colors are red and pink for K (slot 1) and S (slot 6).
Thus, K likes red and S likes pink.

Final Arrangement:
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)

Question: How many persons visit between K and H?
K visits in slot 1 (September 11) and H visits in slot 5 (November 11).
The persons visiting between K and H are L (slot 2), R (slot 3), and V (slot 4).
So, there are 3 (Three) persons visiting between K and H.

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