Directions (81-85): Study the following information carefully and answer the questions given below:

Eight persons buy different things one after other. Two persons buy between M and L who buys immediately before Q. O buys two persons before Q. As many persons buy between O and Q as between L and K. K buys before O. Two persons buy between K and P. J buys before N and after P.

If P is related to K in the similar way J is related to O then who among the following is related to L?

To find the correct answer, let's reconstruct the sequence of the eight persons buying things one after another based on the given clues.

Step 1: Analyze the clues to find the order of purchasing.
Let the positions be numbered 1 to 8 from first to last (1st being the earliest and 8th being the latest).
1. "L buys immediately before Q." This means we have the consecutive block: L, Q.
2. "O buys two persons before Q." This means there is one person between O and Q. Thus, the order is: O, L, Q.
3. "As many persons buy between O and Q as between L and K."
The number of persons buying between O and Q is 1 (since L is between them). Therefore, there must be exactly 1 person buying between L and K.
4. "K buys before O."
Since K is before O, and there is 1 person between L and K, let's trace: if we have K, [space], O, L, Q, then the person between L and K would be O. This perfectly matches the requirement of 1 person (O) between L and K. So the sequence so far is: K, O, L, Q.
5. "Two persons buy between M and L."
Our current sequence is K, O, L, Q. L is at a certain position. The person M can be 2 positions before L or 2 positions after L.
- If M is after L: K, O, L, Q, [space], M. (This has 6 positions: K, O, L, Q, _, M).
- If M is before L: The position 2 steps before L is occupied by K. Since K is already there, M cannot be before L. Thus, M must be after L. The sequence becomes: K, O, L, Q, [space], M.
6. "Two persons buy between K and P."
In our sequence, K is at the first relative position: K, O, L, Q, [space], M. The person 2 positions after K (meaning 2 people between K and P) would place P at the 4th position relative to K (i.e., K, _, _, P). Let's check: K (1st), O (2nd), L (3rd), Q (4th). Since Q is already at the 4th position, P cannot be here. This means our relative order needs to be placed within the 8 positions carefully, or P is before K.
Let's re-verify the positions:
If K is at position 3:
Sequence: 3: K, 4: O, 5: L, 6: Q, 7: [space], 8: M.
Then "Two persons buy between K and P" means P could be at position 6 (occupied by Q) or position 0 (invalid).
Let's try: K is at position 4:
4: K, 5: O, 6: L, 7: Q, 8: [space] - wait, then M would be at position 9 (invalid).
Let's try K at position 1:
1: K, 2: O, 3: L, 4: Q, 5: [space], 6: M.
Then "Two persons buy between K and P" means P must be at position 4 (occupied by Q) or before K (invalid).
Wait, let's re-read: "Two persons buy between K and P." This means K, [space], [space], P or P, [space], [space], K.
Let's try P before K: P, [space], [space], K, O, L, Q, [space], M.
This sequence has: P (1st), 2nd, 3rd, K (4th), O (5th), L (6th), Q (7th), 8th, M (9th) - total 9 positions, which exceeds 8 persons. Thus, this layout is invalid.
Let's re-evaluate the clues:
"Two persons buy between M and L"
If L is at position 6, M can be at position 3 (two persons between 3 and 6 are 4 and 5).
Let's test this layout: O, L, Q. Since L is immediately before Q, if L is at 6, Q is at 7.
O is two persons before Q, so O is at 5 (O, [6: L], 7: Q). Indeed, 1 person (L) is between O and Q.
"As many persons buy between O and Q as between L and K." -> 1 person between L and K.
Since K buys before O, and O is at 5, L is at 6, the person between L and K is 1. If K is at 4: the person between L (6) and K (4) is 5 (O). This matches! So K is at 4, O is at 5, L is at 6, Q is at 7.
Now, "Two persons buy between M and L."
Since L is at 6, M can be at 3 (persons between them are 4 and 5, i.e., K and O). This is valid!
So we have: 3: M, 4: K, 5: O, 6: L, 7: Q.
Now, "Two persons buy between K and P."
Since K is at 4, P can be at 1 (persons between them are 2 and 3) or at 7 (occupied by Q). Thus, P must be at 1.
The sequence now is: 1: P, 2: [space], 3: M, 4: K, 5: O, 6: L, 7: Q, 8: [space].
"J buys before N and after P."
The remaining empty positions are 2 and 8.
Since J buys after P (P is at 1) and before N, J must be at 2 and N must be at 8.
Let's check: J (2) is before N (8) and after P (1). This fits perfectly!
The final sequence of the eight persons from 1 to 8 is:
1: P, 2: J, 3: M, 4: K, 5: O, 6: L, 7: Q, 8: N.

Step 2: Determine the relationship.
We are given: "If P is related to K in the similar way J is related to O then who among the following is related to L?"
Let's look at the positions in the sequence:
- P is at 1, K is at 4. The difference in position is: $4-1=3$ (K is 3 positions after P).
- J is at 2, O is at 5. The difference in position is: $5-2=3$ (O is 3 positions after J).
Following this pattern, the person related to L must be the person who is 3 positions before L, or L is 3 positions after that person.
L is at position 6. The person 3 positions before L is at position $6-3=3$.
The person at position 3 is M.

Therefore, M is related to L in the same way.