It is 7:00 P.M. currently. What time will be in next 536 hours?

The correct answer is Option (1) → 3 A.M.

Every 24 hours the clock returns to the same time, so only the remainder on division by 24 matters:

    \( \displaystyle 536=24\times 22+8 \)

So 536 hours is 22 whole days and 8 hours. Adding 8 hours to 7:00 P.M., and passing midnight:

    \( \displaystyle 7\ \text{P.M.}+8\ \text{hours}=3\ \text{A.M.} \)

CBSE Applied Mathematics (Class XII):
Congruence Modulo