Calculation:At 12:00 clock both hour and minute hands have an angle of 0 ° Then, minute angle for t minutes past 12\(\theta = {t \times {360 \over 60}} = 6 \times t\)Hour angle for t minutes past 12 \(\theta = { t \times {360 \over {12 \times 60}}} = {t \over 2}\)Statement A:For t = 60 minutesMinute hand moves\(6t = 360 ^\circ\)Hour hand moves\({t \over 2} = 30 ^\circ\)Overall difference in angle of both hands\(360 ^\circ - 30 ^\circ = 330 ^\circ\)For 330 ° the minute hands gap is \({330 \over 6} = 55\) minutesStatement B:At 12 both hands coincide. For the next coincide to happen the minute hand moves round the clock once and hour hand crosses 1 mark.\(6t = {360 + {t \over 2}} \\ {11 \over 2}t = 360 \\ t = {720 \over 11 }\\ t \approx 65 \)It takes about 65 minutes for the hands to coincide again - it takes more than an hour to get hands to coincideStatement CWhen 2 hands are 90° apart - an example at 3 o'clock it'll take t minutes for hands to overlap\(6t = { {3 \over 12} \times 360 + {t \over 2}} \\ 6t = { 90 + {t \over 2}} \\ {11 \over 2} t = 90 \\ t \approx 16\)It takes about 16 minutes for them to coincide. So they are 16 minutes apart.So, Statement A is correct.Hence, Option "4" is the correct answer.