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?
Correct Answer :
Three
Solution :
The correct answer is Three.
Let's analyze the given information step-by-step to determine the schedule and details for the six persons:
The months are September (30 days), October (31 days), and November (30 days). The dates are 11 and 22. This gives us six slots:
1. September 11 (Even-day month)
2. September 22 (Even-day month)
3. October 11 (Odd-day month)
4. October 22 (Odd-day month)
5. November 11 (Even-day month)
6. November 22 (Even-day month)
Step 1: Locate 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, one of L/S visits in September and the other in November, both on the same date (either 11th or 22nd).
- "The one who likes yellow visits three persons after L."
This means if L is at slot , the yellow-liker is at slot . For a slot to exist, can only be 1, 2, or 3.
Since L must be in a month with even numbered days (September or November) and , L must visit in September (slot 1 or 2).
If L is at September 11 (slot 1), then S must be at November 11 (slot 5) because they visit on the same date in months with even numbered days.
If L is at September 22 (slot 2), then S must be at November 22 (slot 6).
Step 2: Locate R
- "Two persons visit between S and R who likes green."
Let's test the two cases:
Case 1: L is at September 11 (slot 1) and S is at November 11 (slot 5).
If S is at slot 5, then two persons between S and R means R must be at slot 2 (September 22). R likes green.
Let's check the yellow-liker: since L is at slot 1, the one who likes yellow visits three persons after L, which is slot 4 (October 22).
Case 2: L is at September 22 (slot 2) and S is at November 22 (slot 6).
If S is at slot 6, then R must be at slot 3 (October 11).
Let's check the yellow-liker: since L is at slot 2, the one who likes yellow visits at slot 5 (November 11).
Step 3: Locate V
- "Number of persons visit before R is same as the number of persons visit after V."
In Case 1, R is at slot 2 (1 person visits before R). Thus, 1 person must visit after V, which puts V at slot 5 (November 11). But slot 5 is already occupied by S. Therefore, Case 1 is invalid.
In Case 2, R is at slot 3 (2 persons visit before R). Thus, 2 persons must visit after V, which puts V at slot 4 (October 22). This is a valid configuration!
Let's write down the schedule for Case 2 so far:
1. Sept 11: [Empty]
2. Sept 22: L
3. Oct 11: R (Green)
4. Oct 22: V
5. Nov 11: [Empty] (Yellow)
6. Nov 22: S
Step 4: Locate K and H
- "The one who likes white visit just before H."
- "No one visit between K and the one who likes blue." (This means K and Blue visit adjacent to each other).
Let's look at the remaining persons: K and H must occupy the empty spots 1 (Sept 11) and 5 (Nov 11).
If H is at Sept 11, the person visiting just before H (slot 0) does not exist, which contradicts "The one who likes white visit just before H."
Therefore, H must be at slot 5 (November 11).
Consequently, K must be at slot 1 (September 11).
The one who likes white visits just before H (at slot 4, which is V). So V likes white.
Let's verify the positions of K and H:
- K visits on September 11 (slot 1).
- H visits on November 11 (slot 5).
Step 5: Calculate the number of persons between K and H
The persons visiting between K (slot 1) and H (slot 5) are those at:
- Slot 2 (L)
- Slot 3 (R)
- Slot 4 (V)
This counts to exactly three persons (L, R, and V).
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.