A clock is set right at 10 am the clock gains 25 minutes in 24 hrs .what will be the true time when the clock indicates 1 p.m. on the following day ?

Time from 10 am on the day to 1 p.m. on the following day = 24 + 2 + 1 = 27 hrs

24 hrs 25 minutes of this clock = 24 hrs of the correct clock

= 24²⁵ / ₆₀ = ¹⁴⁵/₆ hr. = 24 hr. of the correct clock

1 hrs. of this clock = 24 ⁶/₁₄₅

27 hrs of this clock = 24 * ⁶/₁₄₅ * 27 = 3888 / 145 = 26¹¹⁸/₁₄₅

26 hrs 48.827586206897 min.

26 hrs 48.827586206897 min. = 24 hrs + 2 hrs 48.827586206897 min.

10 am + 2 hrs 48.827586206897 min. = 24 hrs + 2 hrs 48.827586206897 min.

= 12am 48.827586206897 min.

This is 48.827586206897 minutes pass 12