Question 1 
In a clock, the time is 3.25.What is the angle between the hour hand and the minute hand of the clock:
95/2 degrees  
90/3 degrees  
94/3 degrees  
95/3 degrees 
Discuss it
Question 1 Explanation:
As, the hour hand covers 360 degrees in 12 hrs.
In the clock the time is 3.25 = 3 hrs 25 min = 41/12 hrs.
So, the angle traced by hour hand = (360/12 x 41/12) degrees = 205 degrees.
The minute hand covers 360 degrees in 60 minutes.
So, the angle is traced by minute hand in 25 min = (360/60 x 25) degrees = 150 degrees.
Hence, the required angle of the clock = (150 205/2) degrees = 95/2 degrees.
Question 2 
A clock gains uniformly 5 min slow at 8 o’clock in the morning on Sunday and 5 min 48 sec fast at 8 pm on following Sunday. The correct time and day are:
21 min past 7 pm and Wednesday  
20 min past 7 pm and Thursday  
21 min past 7 pm and Thursday
 
20 min past 7 pm and Wednesday

Discuss it
Question 2 Explanation:
The given time from 8:00 am on Sunday to 8 pm on following Sunday = 7 days 12 hrs = 180 hrs.
So, the clock gains = (5 + 29/5)min = 54/5 min in 180 hrs.
Hence, 5 min are gained in (180 x 5/54 x 5)hrs = 83 hrs 20 min = 3 days 11 hrs 20 min.
The clock is correct 3 days 11 hrs 20 min after 8 am of Sunday.
So, the correct time and day will be 20 min past 7 pm on Wednesday.
Question 3 
Sam sets alarm at 5 am. But the clock loses 16 minutes in 24 hours. Effectively, the clock indicates 10:00 pm on the 4th day. Find out the original time of the clock:
9 pm  
10 pm
 
11 pm  
08 pm 
Discuss it
Question 3 Explanation:
From the given information the time from 5 am on a day to 10 pm on the 4th day is 89 hrs.
So, 23 hrs 44 min of this clock = 24 hrs of correct clock.
Hence, 356/15 hrs of this clock = 24 hrs of correct clock.
89 hrs of the clock = (24 x 15/356 x 89)hrs of correct clock = 90 hrs of correct clock.
Hence, the original time will be 11 pm.
Question 4 
The time of a clock is 8 am. Suddenly the clock gains 10 minutes in 24 hours. Find out the original time if the time of the clock is 1 pm on the following day:
48 minutes past 12  
47 minutes past 10
 
48 minutes past 11
 
48 minutes past 11

Discuss it
Question 4 Explanation:
From 8 am on a day to 1 pm on the following day will be 29 hrs.
So, the clock gains 10 min in 24 hours = 24 hrs of the correct time.
Hence, 145/6 hrs of the clock = 24 hrs of the correct clock.
29 hrs of the clock = (24 x 6/145 x 24)hrs of the correct clock = 28 hrs 48 min of the correct clock.
The correct time = 28 hrs 48 min after 8 am.
Hence, the original time is 48 minutes past 12.
Question 5 
A time of a clock is set 3.40. Find out the angle that is formed by both hour hand and minute hand:
120 degrees
 
135 degrees
 
140 degrees  
130 degrees 
Discuss it
Question 5 Explanation:
The hour hand covers the angle 360 degrees in 12 hrs.
So, the angle is covered by it in 11/3 hrs = (360/2 x 11/3) degrees = 110 degrees .
The minute hand covers the angle in 360 degrees in 60 min.
So, the angle is covered by it in 40 min = (360/60 x 40) degrees = 240 degrees .
Hence, the required angle made by both hands = (240  110) degrees = 130 degrees .
Question 6 
A clock shows 8:00 AM. When it is 2:00 PM, by what degree the hour hand rotates?
145º  
160º  
180º  
175º 
Discuss it
Question 6 Explanation:
For 6 hrs duration hrs hand covered 6 hrs out of 12 hrs
When hrs hand covers 12 hrs it rotates for 360 degree
6  = (360/12)*6 = 180 degrees
When hrs hand covers 12 hrs it rotates for 360 degree
6  = (360/12)*6 = 180 degrees
Question 7 
A clock shows 10:00 AM. When it is 4:00 PM, by what degree the hour hand rotates?
140º  
152º  
175º  
180º 
Discuss it
Question 7 Explanation:
For 6 hrs duration hrs hand covered 6 hrs out of 12 hrs
When hrs hand covers 12 hrs it rotates for 360 degree
6  = 360/12)*6 = 180 degrees
Question 8 
A clock shows 10:00 AM. When it is 10:00 PM, by what degree the hour hand rotates?
180  
175  
240  
360 
Discuss it
Question 8 Explanation:
For 6 hrs duration hrs hand covered 12 hrs out of 12 hrs
When hrs hand covers 12 hrs it rotates for 360 degree
12  =(360/12)*12 = 360 degrees
Question 9 
A clock shows 10:00 AM. What time it will be showing, if hrs hand rotates for 180 degrees?
1:00 PM  
6:00 PM  
4:00 PM  
10:00 PM 
Discuss it
Question 9 Explanation:
When hrs hand rotates for 360 degree it covers 12 hrs
 180  6 hrs
So the time will be: 10:00 AM + 6 hrs = 4:00 PM
Question 10 
A clock shows 06:00 AM. What time it will be showing, if hrs hand rotates for 360 degrees?
4:00 AM of next day  
06:00 PM  
04:00 PM  
10:00 PM 
Discuss it
Question 10 Explanation:
When hrs hand rotates for 360 degree it covers 12 hrs
 360  12 hrs
So the time will be: 06:00 AM + 12 hrs = 06:00 PM
Question 11 
A clock shows 08:00 AM. What time it will be showing, if hrs hand rotates for 540 degrees?
2:00 AM of next day  
4:00 PM  
4:35 PM  
01:00 AM of next day 
Discuss it
Question 11 Explanation:
When hrs hand rotates for 360 degree it covers 12 hrs
After 360 degrees rotation clock will be showing 08:00 PM
Remaining = 540360 = 180 degrees
So in 180 degrees it will cover 6 hrs
So the time will be: 08:00 PM + 6 hrs = 02:00 AM of next day
Question 12 
The reflex angle between the hands of a clock at 09.25 is:
200 degrees  
220.7 degrees  
182 degrees  
227.5 degrees 
Discuss it
Question 12 Explanation:
Reflex angle: The angle which has a measure between 180 and 360 degrees are called a Reflex Angle.
Angle traced by hrs hand in 9 25/60 = 113/12 hrs = (360/12)*(113/12) = 282.5 degrees
Angel traced by minutes hand in 25 minutes = (360/60)*25 = 150 degrees
 Reflex angle = 360 – (282.5 – 150) = 227.5 degrees
Question 13 
A clock is started at 12:00 AM. The hrs hand rotates by how many degrees by 10 minutes past 5?
240  
175  
155  
180 
Discuss it
Question 13 Explanation:
Angle traced by hrs hand in 12 hrs = 360 degrees
Angle traced by hour hand in 5 hrs 10 min. (5 10/60 hrs = 31/6 hrs) = (360/12)*(31/6) = 155 degrees
Question 14 
A faulty clock gains 5 seconds in every 3 minutes. Ram set it right at 8:00 AM. What is the true time when the clock indicates quarter past 5 o’clock of afternoon?
4:30 PM  
7:00 PM  
5 :00 PM  
3:00 PM 
Discuss it
Question 14 Explanation:
quarter past 4 o’clock of afternoon is 5:15 PM
Time duration from 8:00 AM to 5:15 PM = 37/4 hrs
3 min 5 sec of this clock means = 3 min of correct time
3 min 5 sec. = 37/720 hrs
3 min = 1/20 hrs
 37/720 hrs of this clock = 1/20 hrs of correct time
 37/4 hrs of this clock = (1/20)*(37/4)/(37/720) = 9 hrs of correct time
 So the correct time = 8:00AM + 9 hrs = 5 PM
Question 15 
At what time will the hrs hand and minute hand will be pointing just opposite to each other between 7:00 AM and 8:00 AM?
60/12 minutes past 7:00 AM  
40/11 minutes past 7:00 AM  
60/11 minutes past 8:00 AM  
60/11 minutes past 7:00 AM 
Discuss it
Question 15 Explanation:
Both hands will be 30 min. space apart
At 7:00 AM, they are 25 min space apart
 Minute hand will have to gain only 5 min spaces
 5 min spaces will be gained in 60/11 minutes
 Required time = 60/11 minutes past 7:00 AM
Question 16 
At what time between 6 am and 7 am will the minute hand and the hour hand of a clock make an angle closest to 60°?
6:22 am  
6:27 am  
6:38 am  
6:45 am 
Discuss it
Question 16 Explanation:
Angular speed of hour hand = 360/12 = 30° per hour = 30/60 = 0.5° per minute.
Angular speed of minute hand = 360/60 = 6° per minute.
Relative speed of hour hand and minute hand = 6 – 0.5 = 5.5° per minute.
Angle between hour and minute hand at 6 AM = 180°.
To make an angle of 60°, total angular distance will be = 180°  60° = 120°.
Time needed to cover angular distance of 120° by relative angular speed = 120°/5.5 = 21.81 minute.
Hence closest time to make an angle of 60° = 6:22 AM.
There are 16 questions to complete.