• ( 1 ) A clock is set at 5 am. If the clock loses 16 minutes in 24 hours, what will be the true time when the clock indicates 10 pm on 4th day?

    • 1) 9.30 pm
    • 2) 10:00 PM
    • 3) 10.30 pm
    • 4) 11:00 PM
    • Discussion in forum
      Answer : 4) 11:00 PM
      Solution : Time from 5 am to 10 pm on the 4th day = 3 days 17 hours = 3 * 24 + 17 = 89 hours Given that clock loses 16 minutes in 24 hours
      => 23 hour 44 minutes of the given clock = 24 hours in a normal clock
      => 23(44/60) hours of the given clock = 24 hours in a normal clock
      => 23(11/15) hours of the given clock = 24 hours in a normal clock
      => 356/15 hours of the given clock = 24 hours in a normal clock
      => 89 hours of the given clock = 24 * (15/356) * 89 hours in a normal clock = 24 * (15/4) = 6 * 15 = 90 hours
      So the correct time is 90 hours after 5 am = 3 days 18 hours after 5 am = 11 pm on the 4th day








      discussion


      Answer : 4) 11:00 PM

    • ( 2 ) The angle between the minute hand and the other hour hand of a clock when the time is 8:30 is

    • 1) 80°s
    • 2) 75°s
    • 3) 60°s
    • 4) 105°s
    • Discussion in forum
      Answer : 2) 75°s
      Solution : Degree required = (11/2) *30 - 30*8
      = 15*11 - 240
      =165 -240
      = 75°








      discussion


      Answer : 2) 75°s

    • ( 3 ) A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

    • 1) 145°s
    • 2) 150°s
    • 3) 155°s
    • 4) 160°s
    • Discussion in forum
      Answer : 3) 155°s
      Solution : 10 minutes past 5 means :: 5 : 10. It can also be said that it is 5 hours and 10 minutes.
      For Minute Hand
      (i) 1 min = 1/2° so 10 min = 5°s
      (ii) 1 hour = 60 minute = 30°
      (iii) 5 hour = 5 * 30° = 150°
      But we have to find° subtended by 5 Hours and 10 Minutes = 150 + 5 = 155°








      discussion


      Answer : 3) 155°s

    • ( 4 ) At what time between 5 and 6 o' clock are the hands of a 3 minutes apart ?

    • 1) 24min
    • 2) 12min
    • 3) 13min
    • 4) 14min
    • Discussion in forum
      Answer : 1) 24min
      Solution : In this type of problems the formuae is (5 * x + or - t) * 12/11
      Here x is replaced by the first interval of given time.
      Here x is 5.t is spaces apart Case 1 : (5*x + t) * 12/11(5*5 + 3) * 12/1128 * 12/11 = 336/11= 31 5/11 min
      therefore the hands will be 3 min apart at 31 5/11 min past 5.
      Case 2 : (5*x - t) * 12/11(5*5 -3 ) * 12/1122 *12/11 = 24 min
      therefore the hands will be 3 min apart at 24 min past 5.








      discussion


      Answer : 1) 24min

    • ( 5 ) The angle between the minute hand and the hour hand of a clock when the time is 8:30

    • 1) 80°s
    • 2) 75°s
    • 3) 60°s
    • 4) 105°s
    • Discussion in forum
      Answer : 2) 75°s
      Solution : Angle traced by hour hand in 17/2hrs = (360/12)*(17/2)degree = 255°
      Angle traced by min hand in 30 min = (360/60)*30° = 180°
      therefore Required angle = (255 - 180) = 75°








      discussion


      Answer : 2) 75°s

    • ( 6 ) An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

    • 1) 360
    • 2) 180
    • 3) 60
    • 4) 90
    • Discussion in forum
      Answer : 2) 180
      Solution : Angle traced by the hour hand in 6 hours = (360/12)*6








      discussion


      Answer : 2) 180

    • ( 7 ) A clock is started at five pm. How many degrees will the hour hand rotate when the clock shows quarter past 9?

    • 1) 128°
    • 2) 130.25°
    • 3) 127.5°
    • 4) 125.50°
    • Discussion in forum
      Answer : 3) 127.5°
      Solution : The time difference between 5 pm and 9:45 is = 4 : 45
      then the angle will be
      θ = 30H -11/2*MM
      θ = 30*4 - 11/2 *45 = 127.5








      discussion


      Answer : 3) 127.5°

    • ( 9 ) If a light flashes every 6 seconds, how many times will it flash in 3/4 of an hour?

    • 1) 450
    • 2) 451
    • 3) 425
    • 4) 350
    • Discussion in forum
      Answer : 2) 451
      Solution : There are 60 minutes in an hour.
      In 3/4 of an hour there are (60 * 3/4) minutes = 45 minutes.
      In 3/4 of an hour there are (60 * 45) seconds = 2700 seconds.
      Light flashed for every 6 seconds.In 2700 seconds 2700/6 = 450 times.
      The count start after the first flash, the light will flashes 451 times in 3/4 of an hour.








      discussion


      Answer : 2) 451

    • ( 10 ) At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but,not together?

    • 1) (5 + 5/11 )min past 7
    • 2) (6 + 5/11) min past 7
    • 3) 7
    • 4) 8
    • Discussion in forum
      Answer : 1) (5 + 5/11 )min past 7
      Solution : When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.
      At 7o'clock, they are 25 min. spaces apart.
      Minute hand will have to gain only 5 min. spaces
      55 min. spaces are gained in 60 min.
      5 min. spaces are gained in (5/55*60) = 5 5/11min. past 7








      discussion


      Answer : 1) (5 + 5/11 )min past 7





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