Question Details

Study the following information carefully and answer the questions given below.


Nine persons sit in a linear row such that three of them face south direction and the rest of them face north direction. Not more than two persons sit adjacent to each other face the same direction. Six persons sit between H and P who is the only neighbour of R. G sits 3rd to the right of W who sits 2nd to the right of H. The Number of persons sit to the right of G is less than the number of persons sit to the left of G. U and L sit immediately left of each other. O sits 2nd to the right of L who faces the same direction as W. J sits to the right of O.

How many persons sit between J and L?

Options

A

Three

B

One

C

None

D

Two

E

None of these

Show Answer

Correct Answer :

Option D

Two

Solution :

The correct option is Two.


Let's solve this step-by-step to find the linear seating arrangement of all nine persons.


Step 1: Analyze the given information
1. Total persons = 9.
2. Exactly 3 persons face South and 6 persons face North.
3. Not more than two adjacent persons face the same direction (i.e., no three consecutive persons face the same direction).
4. "P is the only neighbour of R." This means R sits at one of the extreme ends of the row, and P sits adjacent to R.
5. Six persons sit between H and P. So, the distance between H and P is 7 positions.
6. G sits 3rd to the right of W, who sits 2nd to the right of H.
7. The number of persons sitting to the right of G is less than the number of persons sitting to the left of G.
8. U and L sit immediately left of each other. This implies one faces North and the other faces South.
9. O sits 2nd to the right of L, who faces the same direction as W.
10. J sits to the right of O.


Step 2: Determine the positions of R, P, H, W, and G
Since R is at an extreme end and P is its only neighbour, P must be adjacent to R.
Since six persons sit between H and P, the position count between H and P is 6, so H and P occupy positions 1 and 8, or 2 and 9, etc.
Let 9 positions be numbered 1 to 9 from left to right.

Case 1: R is at position 9
- Position 9: R
- Position 8: P
- Six persons between H and P means H is at position 1.
- W sits 2nd to the right of H. For W to sit at position 3, H must face North.
So, H is at position 1 (facing North), W is at position 3.
- G sits 3rd to the right of W.
- If W faces North, 3rd to the right of position 3 is position 6 (G = position 6).
- Let's test G at position 6: Number of persons to the left of G is 5, to the right is 3. Here, persons to the right (3) < persons to the left (5), which satisfies condition (7)!


Step 3: Determine positions for U, L, O, and J
Currently occupied positions: Position 1 (H), Position 3 (W), Position 6 (G), Position 8 (P), Position 9 (R).
Vacant positions: 2, 4, 5, 7.
- U and L sit immediately left of each other, so they must occupy adjacent positions. The only adjacent vacant positions are 4 and 5.
- Thus, {U, L} are at positions 4 and 5, leaving positions 2 and 7 for O and J.
- Condition: O sits 2nd to the right of L.
- If L is at position 5: 2nd to the right of position 5 can be position 7 (if L faces North) or position 3 (occupied by W). Since position 7 is vacant, L is at position 5 (facing North), and O is at position 7.
- This leaves position 4 for U, and position 2 for J.
- Since L faces North, W also faces North (Condition 9).
- Let's check U and L facing directions:
- L is at position 5, facing North. The person to the immediate left of L (facing North) is at position 4 (U).
- For U to have L to its immediate left, U (at position 4) must face South (since immediate left for South is to the right, i.e., position 5).


Step 4: Verify remaining positions and facing directions
Positions 1 to 9 from left to right:
1: H (North)
2: J
3: W (North)
4: U (South)
5: L (North)
6: G
7: O
8: P
9: R

- O is at position 7, J is at position 2.
- The number of persons sitting between J (position 2) and L (position 5) is positions 3 and 4, which is 2 persons (W and U).


Thus, exactly two persons sit between J and L.

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