Clock and calender

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Situation Reaction Test
  1. At what time between 3 PM to 4 PM minute hand and hour hand will be opposite to each other ?








  1. View Hint View Answer Discuss in Forum

    Consider exactly at 3 : 00, minute hand is at position '12' and hour hand is at '3' hence angle between these two hands at 3 : 00 is 90°
    Since relative speed between them is 11/2° per minute or every minute hand will travel 11/2° more than the hour hand.
    Then will be opposite to each other when the minute hand will travel (90 + 180) = 270° more than the hour hand. And time taken for this is (270)/(11/2) = 540/11 or 49 1/11 minute
    Hence they will be opposite to each other at 3 : 49 minute : 0.09 second

    Correct Option: C

    Consider exactly at 3 : 00, minute hand is at position '12' and hour hand is at '3' hence angle between these two hands at 3 : 00 is 90°
    Since relative speed between them is 11/2° per minute or every minute hand will travel 11/2° more than the hour hand.
    Then will be opposite to each other when the minute hand will travel (90 + 180) = 270° more than the hour hand. And time taken for this is (270)/(11/2) = 540/11 or 49 1/11 minute
    Hence they will be opposite to each other at 3 : 49 minute : 0.09 second

  1. Reaching the place of meeting on Tuesday 15 min before 8:30 h, Anuj found himself half an hour earlier than the man who was 40 min late. What was the scheduled time of the meeting ?








  1. View Hint View Answer Discuss in Forum

    Anuj reached the place of meeting at 8:15 h, he reached 30 min earlier than the man who was 40 min late.

    Correct Option: B

    Anuj reached the place of meeting at 8:15 h, he reached 30 min earlier than the man who was 40 min late, Hence, the scheduled time of the meeting was 8:05 h.

  1. Find the angle between minute hand and hour hand at 10 : 10 AM








  1. View Hint View Answer Discuss in Forum

    At 10 : 10 from the formula here P = 10 and Q = 10 so required angle is 11 x 10/2 - 30 x 10 = 55 - 300 = - 245 the required angle is 245°

    Correct Option: A

    At 10 : 10 from the formula here P = 10 and Q = 10 so required angle is 11 x 10/2 - 30 x 10 = 55 - 300 = - 245 the required angle is 245°

  1. Find the angle between minute hand and hour hand at 1 : 40 AM








  1. View Hint View Answer Discuss in Forum

    At 1 : 40 from the formula here P = 1 and Q = 40 so required angle is 11 x 40/2 - 30 x 1 = 220 - 30 = 190 the required angle is 190°

    Correct Option: B

    At 1 : 40 from the formula here P = 1 and Q = 40 so required angle is 11 x 40/2 - 30 x 1 = 220 - 30 = 190 the required angle is 190°

  1. Find the angle between minute hand and hour hand at 4 : 20 Am








  1. View Hint View Answer Discuss in Forum

    At 4 : 20 A.M. from the formula here P = 4 and Q = 20 so required angle is 11 x 20/2 - 30 x 4 = 110 - 120 = - 10 or ignoring the negative sign the required angle is 10°

    Correct Option: A

    At 4 : 20 A.M. from the formula here P = 4 and Q = 20 so required angle is 11 x 20/2 - 30 x 4 = 110 - 120 = - 10 or ignoring the negative sign the required angle is 10°