Question Details

Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
Only three people sit to the left of X. Only M sits to the right of R. Only three people sit between R and V. J sits at some place to the left of L but at some place to the right of F.

How many people sit to the left of V?

Options

A

4

B

2

C

3

D

1

Show Answer

Correct Answer :

Option D

1

Solution :

The correct option is 1.

Let's determine the step-by-step arrangement of the seven people (F, J, M, L, R, V, and X) sitting in a row facing north from left to right. Let the 7 positions be represented as:
_ , _ , _ , _ , _ , _ , _ (from left to right, numbered 1 to 7)

Step 1: Use the information about X.
"Only three people sit to the left of X."
This means X must be in the 4th position from the left.
Positions: _ , _ , _ , X , _ , _ , _

Step 2: Use the information about R and M.
"Only M sits to the right of R."
This means R must be in the 6th position, and M must be in the 7th (rightmost) position.
Positions: _ , _ , _ , X , _ , R , M

Step 3: Use the information about V.
"Only three people sit between R and V."
Since R is at position 6, counting three positions to the left (positions 5, 4, and 3), V must be placed at position 2.
Positions: _ , V , _ , X , _ , R , M

Step 4: Use the information about F, J, and L.
"J sits at some place to the left of L but at some place to the right of F."
This means the relative order from left to right must be F ... J ... L.
The remaining empty positions are 1, 3, and 5. Placing F, J, and L in these positions from left to right satisfies the condition:
Position 1: F
Position 3: J
Position 5: L
So, the final arrangement is:
F , V , J , X , L , R , M

Step 5: Answer the question.
We need to find how many people sit to the left of V.
Looking at the final arrangement (F, V, J, X, L, R, M), only F sits to the left of V.
Therefore, the number of people sitting to the left of V is 1.

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