Clock Questions

25 April 2024

Basic Concept of Clock 

In an aptitude test, you will get questions based on concepts of Clock. Wherein the concept is based on movement of Hour hand and Minute hand.

A clock is a complete circle having 360 degrees, which is equally divided into 12 parts i.e. each part is 360/12 = 30°. 
The minute hand rotates through 360 degrees to complete round in one hour.

Angle traced by minute hand in 60 min. = 360°.
In 1 minute it covers 360/60 = 6° per minute. 

Angle traced by hour hand in 12 hrs = 360°

The hour hand covers 30° in 60 minutes i.e. ½° per minute. 

Both the hands of a clock coincide once in every hour.

The hands of a clock will be in straight line but opposite in direction, 22 times in a day.

The hands of a clock coincide 22 times in a day and become straight 44 times in a day.

The hands of a clock are at right angles 44 times in a day.

We will use these concepts while solving problems on clocks.


Clock Questions With Answers

Q1) 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?

A) 154°

B) 170°

C) 160°

D) 180°

Solution:


Q2)  A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

A) 145°

B) 152°

C) 155°

D) 140°

Solution :


Q3) At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but not together?

A) 5(1/11) minutes past 7

B) 5 minutes past 7

C) 5(3/11) minutes past 7

D) 5(5/11) minutes past 7

Solution: 

Q4) At what time between 5.30 and 6 will the hands of a clock be at right angles?

A) 44(7/11) minutes past 5

B) 43 minutes past 5

C) 43(7/11) minutes past 5

D) 44 minutes past 5

Solution :


Q5) 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? 

A. 144° 

B. 150° 

C. 168° 

D. 180° 

Solution : 

Angle traced by the hour hand in 6 hours = 

Q6) The reflex angle between the hands of a clock at 10.25 is: 

A) 180° 

B) 192(1/2)° 

C) 195° 

D) 192(1/2)° 

Solution :


Q7) A clock is started at noon. By 10 minutes past 5, the hour hand has turned through: 

A. 145° 

B. 150° 

C. 155° 

D. 160° 

Solution :

Angle traced by hour hand in 12 hrs = 360°. 
Angle traced by hour hand in 5 hrs 10 min. i.e.,  

Q8)  A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is: 

A) 5 PM

B) 4 PM

C) 58(7/11)min. past 3

D) None Of These

Solution :  

Time from 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 correct clock. 
37 / 720 hrs of this clock = 3 min. of the correct clock. 
=> 37/ 720 hrs of this clock = 1/ 20 hrs of the correct clock. 
=> 37 / 4 hrs of this clock = (1/20 x 720/37 x 37/4) hrs of the correct clock
= 9 hrs of the correct clock. 
The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

Q9) At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together? 

A)  5 min. past 7 

B) 5 (2/11) min. past 7 

C) 5 (3/11) min. past 7 

D) 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 7 o'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 (60/55 x 5)min  = 5 (5/11) min.
Required time = 5 (5/11) min. past 7. 

Q10) At what time between 5.30 and 6 will the hands of a clock be at right angles? 

A) 43 (5/11) min. past 5 

B) 43 (7/11) min. past 5 

C) 40 min. past 5 

D)  45 min. past 5 

Solution:

At 5 o'clock, the hands are 25 min. spaces apart. 
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces. 
55 min. spaces are gained in 60 min. 
40 min. spaces are gained in (60/55 x 40) min = 43(7/11)min.
Required time = 43 (7/11) min. past 5.
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