2015 · Q85
At what time between 2 and 3 will the hour and minute hands of a clock be 12 minutes divisions apart?
general-mental-abilityquantitative-aptitude
- A20 minutes past 2
- B24 5/11 minutes past 2
- C24 minutes past 2
- D24 12/13 minutes past 2
Explanation
At 2 o'clock the minute hand is 10 minute-divisions behind the hour hand. The minute hand gains on the hour hand at 11/12 of a division per minute. To be 12 divisions apart it must gain 10 + 12 = 22 divisions, which takes 22 divided by 11/12 = 24 minutes. Hence the hands are 12 divisions apart 24 minutes past 2.