At what point of time after 3 O' clock, hour hand and minute hand are at right angles for the first time?

Aptitude Calendar
Choose an option
  • A
    9 O' Clock
  • B
    4 H 371/6 min
  • C
    3 H 308/11 min
  • D
    3 H 328/11 min

Answer

Correct Answer: 3 H 328/11 min

Explanation

Clock will make right angle at (5n + 15) x 12/11 min past n. Given that, n = 3 ∴ Clock will make right angle at ( 5 x 3 + 15 ) x 12/11 min past 3 . =30 x 12 / 11 min past 3. = 328/11 min So required time = 3 H 328/11 min

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