The minute hand travels 6∘ per min and hour hand travels 0.5∘ per minute and the time reference for such questions is always 12:00 h. At 5: 20 pm, the minute hand would have effectively travelled for 20 min covering 20×6=120∘ The hour hand would have travelled for 5×60+20=320min and it covers 320×0.5=160∘ ∴ The angle between the two hands =160∘−120∘=40∘