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SEAMO 2027 - Paper C - SET 08 - Self-study Question 3

SEAMO · SEAMO 2027 - Paper C - SET 08 - Self-study

Question 3

Uncle Sam woke between 5:00 AM and 6:00 AM. The number 6 on the clockface was exactly midway between the hour and minute hands. He woke at exactly $5:3A\frac{B}{C}$ AM. Find $A^B-C$.

Here $3A$ is a two-digit minute number, and $B/C$ is a proper fraction in lowest terms. The hands lie on opposite sides of 6.