Aptitude - Clock Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Clock. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Q 1 - Find the angle between the hour hand and the minute hand of a clock when the time is 3.25.
A - 30°
B - 50°
C - 95/2°
D - None of these
Angle traced by the hour hand in 12 hours = 360°
Angle traced by it 3 hr 25 minutes i.e 41/12 hrs
= 360°/12 * 41/12 = 105°/2
Similarly, angle traced by min hand in 60 mins = 360°
Angle traced by it in 25 mins = 3600/60 * 25 = 150°

∴ Angle between hour hand and minute hand
= 150° ? 105°/2
= 95°/2
Q 2 - At what time between 4 and 5 o' clock will the hands of a clock be at right angle?
A - 320/11 min past 4
B - 420/11 min past 4
C - 120/11 min past 4
D - 220/11 min past 4
At 4 o' clock, the minute hand is 20 minute spaces behind the hour hand.
Now, when the two hands are at right angles, they are fifteen min spaces
apart. So, they are at right angles in following two cases.

Case I ? When the minute hand is 15 min spaces behind the hour hand.
In this case, min hand will have to gain (20-15) = 5 min spaces.
= (60/55)*5 = 60/11
∴ They are at right angle at 60/11 minutes past 4.
Case II ? When the minute hand is 15 minute spaces ahead of the hour hand.
In this case the minute hand will have to gain (20+15) = 35 min spaces.
= (60/55)*35 = 420/11 min
∴ They are at right angles at 420/11 min
past 4.
Q 3 - A watch which gains uniformly in 5 min slows at 8 o? clock in the morning on Sunday and it is 5 min 48 sec fast at 8 pm on the following Sunday. When was it correct?
A - 7:20PM on Tue
B - 6:20PM on Wednesday
C - 7:20 PM on Wed
D - None of these
Time from 8 am on Sunday to 8 pm on following Sunday = 7 days 12 hours
= 180 hours

∴ The watch gains (5 + 29/5) min or 54/5 min in 180 hours.

Now 54/5 minutes are gained in 180 hours.

∴ 5 minutes are gained in [180*(5/54)*5] hour = 83 hr 20 min
= 3 days 11 hours 20 minutes
Watch is correct 3 days 11 hours 20 minutes
after 8 AM of Sunday i.e. 7:20PM on Wednesday.
Q 4 - A clock is set comfortable Am. The check picks up 10 minutes in 24 hours. What will be the genuine time when the clock shows 1 pm on the taking after? 
A - 58 min. past. 12
B - 48 min. past. 12
C - 38 min. past. 12
D - 28 min. past. 12
Time from 8 Am on a day to 1p.m on the accompanying day= 29 hrs.
24 hours 10 min. of this clock = 24 hrs. Of the right clock.
145/6 hrs. of this clock= 24 hrs of the right clock.
29 hrs. of this clock = (24*6/145*29)hrs of the right clock.
= 28 hrs 48 min. of right clock.
∴The right time is 28 hrs 48 min. after 8 am
This is 48 min. past. 12.
Q 5 - A clock is begun at twelve. By 10 min. past 5, the hour hand has turned through:
A - 145°
B - 150°
C - 155°
D - 160°
Angle followed by hour hand in 12 hrs =360°
Point followed by hour hand in 5 hrs 10 min.
=31/6 = (360/12*31/6)°= 155°
Q 6 - The edge between the moment hand and the hour hand of a clock when the time is 4.20, is:
A - 0°
B - 10°
C - 5°
D - 20°
Angle followed by hour hand in 13/3 hrs. =(360/12*13/3)°= 130°
Point followed by min. hand in 20 min. = (360/60*20)°= 120°
∴ Required point = (130-120)°= 10°
Q 7 - The reflex edge between the hands of a clock at 10.25 is:
A - 180°
B - 385°/2
C - 195°
D - 395°/2
Angle followed by hour hand in 125/12 hrs.=(360/12*125/12)°=625°/2
Edge followed by min. hand in 25 min. =(360/60*25°)= 150°
Reflex angle= 360°-(625/2-150)°= 360°-325°/2 = 395°/2
Q 8 - How commonly are the hands of a check at right edge in a day?
A - 22
B - 23
C - 44
D - 48
In 12 hours, they are at right point 22 times.
∴ In 24 hours , they are at right point 44 times.
Q 9 - At what time, in moment, between 3 o'clock and 4 o'clock, both are unnecessary will match one another?
A - 56/11 past 3
B - 136/11 past 3
C - 147/11 past 3
D - 180/11 past 3
At 3 o'clock ,the moment hand is 15 min. spaces a section
Structure the hour hand. To be coincident,
it must pick up 15 min. spaces.
55 min. are picked up in 60 min.
15 min. are picked up in (60/55*15)min.=180/11 min.
∴ The hands are correspondent at 180/11 min. past 3.
Q 10 - A watch picks up 5 sec. in 3 min. was set comfortable am. Toward the evening Of that day, when the watch demonstrated quarter past 4'o clock the Genuine time is: 
A - 715/12 min. past 3
B - 4 p.m.
C - 645/11 min. past 3
D - 25/11 min. past 4
Time structure 7 a.m. to 4.15 p.m.=9 hrs 15 min=37/4 hrs.
3 min. 5 sec. of this clock=3 min of the right clock.
=> 37/720hrs of this clock =1/2 hrs of the right clock
=> 37/4 hrs of this clock =(1/20*720/37*37/4)hrs of right clock
= 9hrs of the right clock
∴ The right time is 9 hrs after 7 a.m. i.e. 4 p.m.

    87 Lectures 
     22.5 hours 

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