Problem Statement

All pencils are sticks. Some sticks are erasers. Which conclusion(s) follow? I. Some pencils are erasers. II. Some erasers are pencils. Only I follows Only II follows Both follow Neither follows Aboard a train, S, R, and J work as the fireman, brakeman, and engineer, though not necessarily in that order. Three passengers happen to share those same names: a Mr. S, a Mr. R, and a Mr. J. Using the clues below, work out who the Engineer is. 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 passenger living closest to the brakeman earns exactly three times the brakeman's salary. 5. S beats the fireman in badminton. 6. The passenger sharing the brakeman's name 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 stands for a unique digit (0-9), what digit does M represent? 0 1 2 3 A family of 6 has these