Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
Only V sits to the left of F. Only four people sit between V and J. Only X sits between R and L, and R is not an immediate neighbor of J.
How many people sit to the left of L?

The correct answer is 4.

Step-by-Step Explanation:

Let's determine the exact positions of all seven people (F, J, M, L, R, V, and X) sitting in a single row facing north. We can number the positions from 1 to 7 from left to right:

Position: 1, 2, 3, 4, 5, 6, 7

Step 1: Determine the positions of V and F.

The problem states: "Only V sits to the left of F."

This means F is in position 2, and V is the only person to F's left, occupying position 1.

Current arrangement: V, F, _, _, _, _, _

Step 2: Determine the position of J.

The problem states: "Only four people sit between V and J."

Since V is at position 1, four people will occupy positions 2, 3, 4, and 5. Therefore, J must be at position 6.

Current arrangement: V, F, _, _, _, J, _

Step 3: Place X, R, and L.

The problem states: "Only X sits between R and L", which means R, X, and L sit together as a group in a continuous block (either R-X-L or L-X-R).

Additionally, "R is not an immediate neighbor of J."

The available empty positions in our arrangement are positions 3, 4, 5, and 7.

The group of three (R, X, L) must occupy positions 3, 4, and 5 because position 7 is only a single spot.

Since R cannot be an immediate neighbor of J (position 6), R cannot be at position 5. Therefore, R must be at position 3, X at position 4, and L at position 5.

Current arrangement: V, F, R, X, L, J, _

Step 4: Place the remaining person, M.

The only remaining spot, position 7, is filled by M.

Final complete seating arrangement from left to right (positions 1 to 7):

1: V
2: F
3: R
4: X
5: L
6: J
7: M

Step 5: Answer the specific question asked.

The question asks: "How many people sit to the left of L?"

L is sitting at position 5. The people sitting to the left of L are at positions 1, 2, 3, and 4 (V, F, R, and X).

Counting them gives exactly 4 people.