FACTS  AND  FORMULAE  FOR  CLOCKS  QUESTIONS

 

 

The face or dial of a watch is a circle whose circumference is divided into 6 equal parts, called minute spaces.

 

A clock has two hands, the smaller one is called the hour hand or short hand while the larger one is called the minute hand or long hand.

 

1. In 60 minutes, the minute hand gains 55 minutes on the hour on the hour hand.

2. In every hour, both the hands coincide once.

3. The hands are in the same straight line when they are coincident or opposite to each other.

4. When the two hands are at right angles, they are 15 minute spaces apart.

5. When the hands are in opposite directions, they are 30 minute spaces apart.

6. Angle traced by hour hand in 12 hrs = 360°

7. Angle traced by minute hand in 60 min. = 360°.

 

Too Fast And Too Slow : If a watch or clock indicated 8.15, when the correct time is 8, it is said to be 15 minutes too fast.

 

On the other hand, if it indicates 7.45, when the correct time is 8, it is said to be 15 minutes too slow.

Q:

What is the angle between the two hands of a clock when the time shown by the clock is 8 p.m.?(in degrees)

A) 240 B) 120
C) 60 D) 50
 
Answer & Explanation Answer: B) 120

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Q:

What would be the smaller of the two angles formed by the hour hand and the minute hand at 4:52 p.m?

A) 162 deg B) 164.5 deg
C) 165 deg D) 166 deg
 
Answer & Explanation Answer: D) 166 deg

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Q:

What would be the smaller of the two angles formed by the hour hand and the minute hand at 3:47 p.m?

A) 168.5 deg B) 162 deg
C) 166.5 deg D) 165 deg
 
Answer & Explanation Answer: A) 168.5 deg

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Q:

At a telephone exchange, three phones ring at intervals of 20 sec, 24 sec and 30 seconds. If they ring together at 11 : 25 a.m, when will they next ring together?

A) 11:29 a.m. B) 11:27 a.m.
C) 11:51 a.m. D) 12:29 p.m.
 
Answer & Explanation Answer: B) 11:27 a.m.

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Q:

What will be the acute angle between the hour-hand and the minute -hand at 2:13 p.m?

A) 16.5 deg B) 18 deg
C) 13.5 deg D) 11.5 deg
 
Answer & Explanation Answer: D) 11.5 deg

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Q:

What is the measure of the smaller of the two angles formed between the hour hand and the minute hand of a clock when it is 5:49 p.m.?

A) 119 deg B) 119.5 deg
C) 120 deg D) 120.5 deg
 
Answer & Explanation Answer: B) 119.5 deg

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Q:

What fraction of 2 hours is 12 seconds?

A) 1/200 B) 1/300
C) 1/400 D) 1/600
 
Answer & Explanation Answer: D) 1/600

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Q:

Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alrmed together three hours before, then after how many hours will they next alarm together?

A) 3 hours B) 6 hours
C) 2 hours D) 1 hour
 
Answer & Explanation Answer: A) 3 hours

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