Among four friends A, B, P and Q (each earning a different amount), who earns the most?
(I) P earns more than A but less than both B and Q.
(II) B earns more than P but less than Q. A does not earn the most.
- AThe data in statement I alone are sufficient to answer the question while the data in statement II are not sufficient.
- BThe data in both statements I and II together are necessary to answer the question.
- CThe data in both statements I and II together are not sufficient to answer the question.
- DThe data in statement II alone are sufficient to answer the question while the data in statement I are not sufficient.
Solution & Step-by-step Explanation
Let's analyze both statements:
* From Statement I: and . This tells us that both B and Q earn more than P and A. However, we cannot determine whether B or Q earns the most. Thus, Statement I alone is not sufficient.
* From Statement II: and . Additionally, it states that "A does not earn the most." Since Q earns more than B and P, and A does not earn the most, Q must be the highest earner among the four friends (). Thus, Statement II alone provides all the necessary links to uniquely identify Q as the highest earner.
* From Statement I: and . This tells us that both B and Q earn more than P and A. However, we cannot determine whether B or Q earns the most. Thus, Statement I alone is not sufficient.
* From Statement II: and . Additionally, it states that "A does not earn the most." Since Q earns more than B and P, and A does not earn the most, Q must be the highest earner among the four friends (). Thus, Statement II alone provides all the necessary links to uniquely identify Q as the highest earner.