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.

Which among the following statement is not true?

To determine which statement is not true, let us analyze the given conditions step-by-step to find the sequence in which the eight persons buy their things.

Let the positions of the eight buyers be numbered 1 to 8, where 1 is the first person to buy and 8 is the last person to buy.

Let's list the given clues:
1. L buys immediately before Q.
2. O buys two persons before Q. This means there is one person between O and Q (i.e., O, then someone, then Q). Since L is immediately before Q, the order must be: O, L, Q.
3. As many persons buy between O and Q as between L and K. Since O, L, Q are consecutive with L in the middle, the number of persons between O and Q is 1. Thus, there must be exactly 1 person 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 look at the arrangement: if the group is O, L, Q, then L is at some position. If K is before O, and there is 1 person between L and K, then K must be immediately before O. Let's verify: K, O, L, Q. Here, the number of persons between L and K is 1 (which is O). This matches the condition perfectly.
So, we have a consecutive block of four persons: K, O, L, Q.
5. Two persons buy between K and P. Since K is in our block, P can be either before K or after K.
Case A: P is before K. Since there are 2 persons between K and P, the order would be: P, _, _, K, O, L, Q. Let's count the positions: P(1), 2, 3, K(4), O(5), L(6), Q(7), 8.
Case B: P is after K. Since K, O, L, Q are at consecutive positions, the positions relative to K are: K(1), O(2), L(3), Q(4). Two persons between K and P means P is at position 4 relative to K, which is occupied by Q. This is a contradiction. Thus, Case A is the only valid arrangement: P, _, _, K, O, L, Q.
6. Two persons buy between M and L. In our block, L is at position 6 (relative to P at 1). If M is after L, two persons between M and L means M is at position 9, which exceeds the limit of 8 persons. Thus, M must be before L. Two persons between M and L (with L at position 6) means M must be at position 3: P(1), 2, M(3), K(4), O(5), L(6), Q(7), 8.
7. J buys before N and after P. The empty positions in our sequence are 2 and 8. Since J buys after P and before N, J must be at position 2 and N must be at position 8. Let's check: J is at 2 (which is after P at 1), and J is before N (which is at 8). This fits all conditions.
The final sequence of the eight persons from first to last (1 to 8) is:
1. P
2. J
3. M
4. K
5. O
6. L
7. Q
8. N

Now, let us evaluate the given options based on this sequence:
- "P buys the first among all": Since P is at position 1, this statement is true.
- "J buys just before M": J is at position 2 and M is at position 3, so J indeed buys just before M. This statement is true.
- "Odd number of persons buys after O": The persons buying after O (position 5) are L (6), Q (7), and N (8). There are 3 persons buying after O. Since 3 is an odd number, this statement is true.
- "N buys at least before one person": N is at position 8, which is the last position. Nobody buys after N. Therefore, N does not buy before anyone. This statement is not true.

Thus, the statement that is not true is "N buys at least before one person".