Clocks

  • Last Updated : 27 Sep, 2023

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:
Tick
95/2 degrees
Cross
90/3 degrees
Cross
94/3 degrees
Cross
95/3 degrees


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

What is correct time and day of Ram's magical watch, which gains uniformly 300 seconds slow at time 08:00 on Sunday and 348 fast at 20;00 on following Sunday. 

Cross

21 min past 7 pm and Wednesday

Cross

20 min past 7 pm and Thursday

Cross

21 min past 7 pm and Thursday

Tick

20 min past 7 pm and Wednesday



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

On the birthday of Sam, Param gave him an alarm clock, now Sam sets alarm at 5 am, and  Sam notices that:

  • The clock loses 960 seconds in last one day.
  •  Effectively, the clock indicates 10:00 pm on the 4th day.

 Find out the original time of the clock:

Cross

9 pm

Cross

10 pm

Tick

11 pm

Cross

08 pm



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

Find the original time of clock if:

  • The time of a clock is 08:00,
  • The clock gains 600 seconds, in one day.
  • The time of the clock is 1pm on the following day.
Tick

48 minutes past 12

Cross

47 minutes past 10

Cross

48 minutes past 11

Cross

48 minutes past 11



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

At the time of 15:40 in clock, what is the angle between hour hand and minute hand.

Cross

120 degrees

Cross

135 degrees

Cross

140 degrees

Tick

130 degrees



Question 5-Explanation: 

The time is same as 03:40

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 08:00. When it is 14:00, by what degree the hour hand rotates?

Cross

145º

Cross

160º

Tick

180º

Cross

175º



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

Question 7

A clock shows 10:00. When time is 16:00, by what degree the hour hand rotates?

Cross

140º

Cross

152º

Cross

175º

Tick

180º



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. When time is 22:00, by what degree the hour hand rotates?

Cross

180

Cross

175

Cross

240

Tick

360



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?

Cross

1:00 PM

Cross

6:00 PM

Tick

4:00 PM

Cross

10:00 PM



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?

Cross

4:00 AM of next day

Tick

06:00 PM

Cross

04:00 PM

Cross

10:00 PM



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

12
There are 19 questions to complete.