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 analyze the given conditions step-by-step to determine the order in which the eight persons buy their things.

Let the 8 positions be numbered 1 to 8, from first to last to buy.

1. "L buys immediately before Q":
This means L and Q are in consecutive positions as (L, Q).

2. "O buys two persons before Q":
This means there is exactly one person between O and Q. So the order is: O, _, L, Q. Thus, O, L, and Q occupy four consecutive positions: O, [any person], L, Q.

3. "As many persons buy between O and Q as between L and K":
The number of persons between O and Q is 1 (since O is two persons before Q). Therefore, there must be exactly 1 person between L and K. This means K can be placed either before L (with 1 person between them) or after L. Let's look at the next clue.

4. "K buys before O":
Since K is before O, and O is before L, K must be placed before L. Since there is exactly 1 person between L and K, the sequence of these four becomes: K, O, [any person], L, Q. Let's check the distance between K and L: K is at position 1, O is at 2, the empty space is at 3, L is at 4. The number of persons between K and L is indeed 2 here if O is between them, but the condition says "as many persons buy between O and Q as between L and K".
Let's re-verify: There is 1 person between O and Q (which is the person at position 3 in the sequence O, X, L, Q). So there must be exactly 1 person between L and K. Since K buys before O, the sequence must be K, X, O, Y, L, Q. Let's check: Between L and K, we have X and O (2 persons). That doesn't match. Let's adjust:
If K is immediately before O: K, O, X, L, Q. Here, the persons between L and K are O and X (2 persons).
If K is separated from O: What if the sequence is K, O, L, Q? Here, the person between O and Q is L (1 person). The person between L and K is O (1 person). This perfectly satisfies "O buys two persons before Q" (one person between them, which is L) and "As many persons buy between O and Q as between L and K" (1 person between them, which is O).
Let's write down this sequence: K, O, L, Q. Let's check: K buys before O (Yes). Number of persons between O and Q is 1 (L). Number of persons between L and K is 1 (O). This matches perfectly! So we have the consecutive sequence: K, O, L, Q.

5. "Two persons buy between M and L":
Since L is in our sequence K, O, L, Q, let's see where M can be. M can be either 2 positions before L or 2 positions after L.
Case A: M is before L. Since the sequence is K, O, L, Q, two persons between M and L means M, [person 1], [person 2], L. So M would be before K. Thus: M, K, O, L, Q.
Case B: M is after L. Two persons between M and L means L, [person 1], [person 2], M. Since Q is immediately after L, this would be L, Q, [person], M. Thus: K, O, L, Q, [person], M.

6. "Two persons buy between K and P":
Case A: The sequence is M, K, O, L, Q. Two persons between K and P means P can be after K (K, O, L, P - but Q is already there) or before K (P, [person 1], [person 2], K, which gives P, X, Y, M, K, O, L, Q. This would require 8 positions: P (1), X (2), Y (3), M (4), K (5), O (6), L (7), Q (8)).
Case B: The sequence is K, O, L, Q, X, M. Two persons between K and P means P must be after K (K, O, L, P - but Q is at that position). So P must be before K: P, X, Y, K, O, L, Q, Z, M (which exceeds 8 persons). Let's re-evaluate Case A.

Let's check the placement in Case A: P, X, Y, M, K, O, L, Q.
Here, the 8 positions are filled. Let's check the conditions:
- K and P: P is at 1, K is at 5. The number of persons between K and P is 3 (X, Y, M). But the clue says "Two persons buy between K and P". So this is incorrect.
Let's find another configuration for Case A: M, K, O, L, Q. If P is after K, since there are 2 persons between K and P, the sequence is K, O, L, P, which conflicts with Q being after L. So P must be before K: P, X, Y, K. If M is between P and K, say P, X, M, K, O, L, Q. Here, the persons between P and K are X and M (2 persons). This fits perfectly! The 8 positions are: P, X, M, K, O, L, Q, Y. (Total 8 persons).
Let's check "Two persons buy between M and L": M is at position 3, L is at 7. The persons between M and L are K, O, Q (3 persons). That doesn't match.
Let's try: K, O, L, Q. If M is after L: K, O, L, Q, X, M. If P is before K: P, Y, Z, K, O, L, Q, X, M (too many persons).
What if the sequence K, O, L, Q starts later? Let's write down positions 1 to 8:
If K=2, O=3, L=4, Q=5.
Then M (two persons between M and L) can be at 1 (since 1, [2, 3], 4 - yes, M=1, L=4 has O and K between them, which is 2 persons).
Let's check: M=1, K=2, O=3, L=4, Q=5.
Now we need "Two persons buy between K and P". K is at 2. P can be at 5 (but Q is there) or P can be at 5 + 1 = 6 (no, two persons between 2 and P means P is at 5, which is occupied by Q). So P cannot be after K. What about before? There is only position 1 before 2, which is occupied by M. So this configuration doesn't work.
What if M is after L? L=4, Q=5, so M can be at 8 (two persons between 4 and 8: 5, 6, 7 - that is 3 persons. Two persons between 4 and M means M is at 7. Let's check: 4 (L), 5 (Q), 6, 7 (M). Yes, Q and position 6 are between L and M, which is 2 persons).
So we have: K=2, O=3, L=4, Q=5, M=7.
Now, "Two persons buy between K and P": K is at 2. Two persons between 2 and P means P is at 5 (occupied by Q). So this doesn't work.
What if K=3, O=4, L=5, Q=6?
M can be at 1 (two persons between 1 and 5: 2, 3, 4 - that is 3 persons. Two persons between M and L means M is at 2. Let's check: 2 (M), 3 (K), 4 (O), 5 (L). Yes, K and O are between M and L, which is 2 persons).
So we have: M=2, K=3, O=4, L=5, Q=6.
Now, "Two persons buy between K and P": K is at 3. Two persons between K and P means P can be at 6 (occupied by Q). So P must be before K: 3 - 3 = 0 (out of bounds). So this doesn't work.
What if K=4, O=5, L=6, Q=7?
M can be at 3 (between 3 and 6: 4, 5 - yes, K and O are between them, which is 2 persons). So M=3.
Positions: M=3, K=4, O=5, L=6, Q=7.
Now, "Two persons buy between K and P": K is at 4. P can be at 1 (between 1 and 4: 2, 3 - yes, two persons). So P=1.
Now we have: P=1, X=2, M=3, K=4, O=5, L=6, Q=7, Y=8.
Let's check the remaining clues: "J buys before N and after P".
Since P is at 1, J and N must be in the empty positions 2 and 8. Since J buys before N, J must be at 2 and N must be at 8.
Thus, the final arrangement from 1 to 8 is:
1. P
2. J
3. M
4. K
5. O
6. L
7. Q
8. N

7. "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 find the relation between P and K:
P is at 1, K is at 4. K is 3 positions after P (or there are 2 persons between them).
Let's check the relation between J and O:
J is at 2, O is at 5. O is 3 positions after J (or there are 2 persons between them).
Following this same pattern, the person related to L (which is at position 6) must be the person who is 3 positions before L, or the person 3 positions after L.
Let's check who is 3 positions before L: 6 - 3 = 3, which is M.
Therefore, M is related to L in the same way.