Study the given information carefully and answer the question.

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

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

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

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

Question: How many persons are sitting between R and S?

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

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

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

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

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

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

Question

Study the given information carefully and answer the question.

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

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

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

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

Question: How many persons are sitting between R and S?

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

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

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

(c) Statements II and III together are sufficient, statement I is 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 S or Q.

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

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

**Analysis:**
- Statements I and II provide partial information about positions but do not fully determine the number of persons between R and S.
- Statement III gives critical details about the relative positions of R, S, and P, which are essential to find the number of persons between R and S.
- Without combining all three statements, the exact number of persons between R and S cannot be determined.

**Therefore, all three statements I, II, and III together are necessary to answer the question.**

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

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