Imagine a clock where the 2nd hand is on the same axis as two other hands. How often in a 24hr day,will the 2nd hand be parallel to either of the two other hands?
Options= 5474,5174,5714,5724

• In a 24-hour day, the second-hand will be 5714 times parallel to the two other hands.
  Within any minute, the second-hand will twice be parallel to each of the two other hands, minute-hand and hour-hand.
  Thus, there are (4*60*24) 5760 such parallel positions in one day.
  But, the hour-hand and the minute-hand are parallel to each other 23 times in 12 hours i.e. 46 times in 24 hours. Therefore, 46 parallel positions have to be deducted.
  Hence, the correct answer is (5760 - 46) = 5714
  In 24-hour day , second hand is parallel to either of the two hands 5714 times.
• 8 years agoHelpfull: Yes(7) No(0)