# 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.

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.

## Any Questions? Look Here.

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