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  • Question
  • A man who went out between 3 and 4 and returned between 8 and 9, found that the hands of the watch had exactly changed places. He returned at:


  • Options
  • A. 14 minutes past 8
  • B. 21 1 minutes past 8 . 13
  • C. 19 2 minutes past 8 . 13
  • D. 18 6 minutes past 8 . 13

  • Correct Answer
  • 18 6 minutes past 8 . 13 

    Explanation

    As per the given above question , we can say that
    1. In 1 min ,minute hand moves 6 Degree
    2. In 1 min,hour hand moves 0.5 Degree
    Let suppose man went out at y past three i.e. 3 hours y minutes
    then, minute hand will be at ( 6y ) Degree from origin.
    and hour hand will be at ( 3 × 30 + y × 0.5) Degree = ( 90 + 0.5y ) Degree
    Similarly ,man returned at z past eight i.e. 8 hours z minutes
    then, minute hand will be at ( 6z ) Degree from origin.
    and hour hand will be at ( 8 × 30 + z × 0.5 ) Degree = ( 240 + 0.5z ) Degree
    And as per the given condition :-
    6y = 90 + 0.5y ...... ( ? )
    and 6z = 240 + 0.5z ...... ( ? )
    Solve these equations , we get y = 16.36 and z =43.63


  • Calendar problems


    Search Results


    • 1. 
      In every 30 minutes the time of a watch increases by 3 minutes. After setting the correct time at 5 am, what time will the watch show after 6 hours?

    • Options
    • A. 10 : 54 am
    • B. 11 : 30 am
    • C. 11 : 36 am
    • D. 11 : 42 am
    • Discuss
    • 2. 
      A wall clock gains 2 minutes in 12 hours, while a table clock loses 2 minutes every 36 hours. Both are set right at 12 noon on Tuesday. The correct time when both show the same time next would be:

    • Options
    • A. 12 : 30 at night, after 130 days
    • B. 12 noon, after 135 days
    • C. 1 : 30 at night, after 130 days
    • D. 12 midnight, after 135 days
    • Discuss
    • 3. 
      Suresh was born on October 4, 1999. Shashikanth was born 6 days before Suresh. The Independence day of that year fell on Sunday. Which day was Shashikanth born?

    • Options
    • A. Tuesday
    • B. Wednesday
    • C. Monday
    • D. Sunday
    • Discuss
    • 4. 
      If a clock strikes 6 times in five seconds, the number of strikes in 10 seconds is:

    • Options
    • A. 10
    • B. 11
    • C. 9
    • D. 8
    • Discuss
    • 5. 
      If March 2, 1994 was on Wednesday, January 1994 25, was on:

    • Options
    • A. Wednesday
    • B. Thursday
    • C. Tuesday
    • D. Monday
    • Discuss
    • 6. 
      At what time between 4 : 30 and 5 will the hands of a clock be in a straight line?

    • Options
    • A. 50 minutes past 4
    • B. 42 minutes past 4
    • C. 54 6 minutes past 4 11
    • D. 46 minutes past 4
    • Discuss
    • 7. 
      How often are the hands of a clock at right angle everyday?

    • Options
    • A. 38 times
    • B. 44 times
    • C. 40 times
    • D. 48 times
    • Discuss
    • 8. 
      How many times do the hands of a clock point towards each other in a day?

    • Options
    • A. 24
    • B. 20
    • C. 12
    • D. 22
    • Discuss
    • 9. 
      Mahatma Gandhi was born on October 2, 1869. The day of the week was:

    • Options
    • A. Sunday
    • B. Monday
    • C. Saturday
    • D. Friday
    • Discuss
    • 10. 
      On what date of August, 1988 did Friday fall?

    • Options
    • A. 5
    • B. 4
    • C. 14
    • D. 17
    • Discuss


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