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Six people sit in two parallel rows. In Row 1: A, B, and C sit facing North. In Row 2: P, Q, and R sit facing South. Each person in a row faces a person in the other row.
Question: Who sits at the right extreme end of Row 1?
Read the following statements and decide whether the data provided is sufficient to answer the question:
Statement (I): R sits to the immediate left of Q. Q faces A.
Statement (II): B sits to the immediate left of C.
Decide the appropriate answer from the following options:
Statement (II): Only one person sits between B and C. B faces an immediate neighbour of Q. Data in statements I and II together are NOT sufficient to answer the question.
Data in Statement I alone is sufficient to answer the question while data in statement II is not.
Data in Statement II alone is sufficient to answer the question while data in statement I is not.
Data in statements I and II together are sufficient to answer the question.
Data in Statement I alone is sufficient to answer the question while data in statement II is not.
Identify the fixed anchor point in Statement I; if it locks all positions in a row, it is sufficient, ignoring the need for Statement II.
Identify the fixed anchor point in Statement I; if it locks all positions in a row, it is sufficient, ignoring the need for Statement II.
Analyze Statement I
Row 2: R sits to the immediate left of Q (R, Q). Since Q faces A, the arrangement is Q-A. The order in Row 2 is R, Q, P (since R is left of Q, P must be at the other end). Row 1: A must be in the middle because Q is the middle person in Row 2. Given B is to the immediate left of A, B is at the left extreme of Row 1. Thus, C must be at the right extreme end of Row 1.
Evaluate sufficiency
Statement I independently provides all the necessary constraints to place every individual, specifically identifying that C is at the right extreme of Row 1.
Verify redundancy of Statement II
Since Statement I already solves the seating arrangement completely to determine the position of C, Statement II is not required, confirming Statement I alone is sufficient.
A: Incorrect because Statement I is sufficient, making the combination unnecessary; C: Incorrect as Statement II lacks sufficient constraints to fix everyone; D: Incorrect as Statement I already provides the answer, making the combination redundant.
B is correct because Statement I provides sufficient data to arrange all six members in their respective rows, identifying C as the person at the right extreme end of Row 1.
In Data Sufficiency puzzles, always solve the main statement first. If you arrive at a unique position for the target person, stop and select the single-statement option to save time.
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