Problem Statement

All pencils are sticks. Some sticks are erasers. Conclusion: I. Some pencils are erasers. II. Some erasers are pencils. Only I follows Only II follows Both follow Neither follows On a train, S, R, and J are the fireman, brakeman, and the engineer, but may NOT be in order. Also aboard the train are three businessmen who have the same names: a Mr. S, a Mr. R, and a Mr. J. Using the clues below, can you determine the identity of the Engineer? 1. Mr. R lives in New York. 2. The brakeman lives exactly halfway between New York and Boston. 3. Mr. J earns exactly USD 100,000 per year. 4. The brakeman's nearest neighbor, one of the passengers, earns exactly three times as much as the brakeman. 5. S beats the fireman in badminton. 6. The passenger whose name is the same as the brakeman's lives in Boston. Cannot be determined S is the Engineer J is the Engineer R is the Engineer In the equation SEND + MORE = MONEY, where each letter represents a unique digit (0-9), what is the value of M? 0 1 2 3