Clocks
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
There are 16 questions to complete.