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( 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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°

Show Answer Report Discussion in forumAnswer : 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°



( 8 ) when the hands are in the opposite directions,they are  minute spaces apart
 1) 15
 2) 60
 3) 30
 4) 0



( 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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
