Ten persons are seated in two parallel rows. P, Q, R, S, T sit in row-1 facing north, and K, L, M, N, O sit in row-2 facing south.

Given:

I. P sits second to the right of Q. O sits immediately to the left of M. O does not sit opposite to S or Q.

II. Only one person sits between L and M. L does not sit opposite to R or S. K sits opposite to T.

III. P does not sit opposite to L or O. N sits second to the right of K. R is not at the extreme left end. Only two persons sit between S and P.

Question: Who among the following sits at the extreme right end of row-2?

Choose the correct option based on the sufficiency of the statements:

(a) Statements I and II together are sufficient, statement III not required.

(b) Statements I and III together are sufficient, statement II not required.

(c) Statements II and III together are sufficient, statement I not required.

(d) All three statements I, II, and III together are necessary.

(e) Even all three statements together are not sufficient.

Question

Ten persons are seated in two parallel rows. P, Q, R, S, T sit in row-1 facing north, and K, L, M, N, O sit in row-2 facing south.

Given:

I. P sits second to the right of Q. O sits immediately to the left of M. O does not sit opposite to S or Q.

II. Only one person sits between L and M. L does not sit opposite to R or S. K sits opposite to T.

III. P does not sit opposite to L or O. N sits second to the right of K. R is not at the extreme left end. Only two persons sit between S and P.

Question: Who among the following sits at the extreme right end of row-2?

Choose the correct option based on the sufficiency of the statements:

(a) Statements I and II together are sufficient, statement III not required.

(b) Statements I and III together are sufficient, statement II not required.

(c) Statements II and III together are sufficient, statement I not required.

(d) All three statements I, II, and III together are necessary.

(e) Even all three statements together are not sufficient.

Accepted Answer

**Solution:**

1. From statement I:
- P sits second to the right of Q in row-1 (facing north).
- O sits immediately to the left of M in row-2 (facing south).
- O is not opposite to S or Q.

2. From statement II:
- Only one person sits between L and M.
- L does not sit opposite to R or S.
- K sits opposite to T.

3. From statement III:
- P does not sit opposite to L or O.
- N sits second to the right of K.
- R is not at the extreme left end.
- Only two persons sit between S and P.

**Step-by-step reasoning:**

- Since K sits opposite to T (II), and P, Q, R, S, T face north, K must be opposite T in row-2.

- O sits immediately to the left of M (I), and only one person sits between L and M (II).

- L does not sit opposite R or S (II), and O does not sit opposite S or Q (I).

- N sits second to the right of K (III), so N's position depends on K's.

- R is not at the extreme left end (III), so R is somewhere in the middle or right.

- Two persons sit between S and P (III), helping fix their relative positions.

By combining all three statements, we can deduce the exact seating arrangement and identify who sits at the extreme right end of row-2.

After placing all persons according to the conditions, it is found that **L** occupies the extreme right end of row-2.

**Answer:** (d) All three statements I, II, and III together are necessary to answer the question, and the person sitting at the extreme right end of row-2 is **L**.

Answer

Answer

Answer