2018 · Q32
At what time between 2 o'clock and 3 o'clock will the hour and minute hands of a clock be 12 minutes division apart?
general-mental-abilityquantitative-aptitude
- A12 minutes past 2 o'clock
- B18 minutes past 2 o'clock
- C24 minutes past 2 o'clock
- D30 minutes past 2 o'clock
Explanation
At 2 o'clock the hour hand sits 10 minute-divisions ahead of the minute hand. The minute hand gains on the hour hand at 11/12 of a division per minute. For the minute hand to stand 12 divisions ahead of the hour hand, it must gain 10 + 12 = 22 divisions, taking 22 ÷ (11/12) = 24 minutes. Hence the hands are 12 minute-divisions apart at 24 minutes past 2.