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 will be the acute angle between the hour-hand and the minute-hand at 4:37 p.m.?

A) 18.5° B) 83.5°
C) 18° D) 6.5°
 
Answer & Explanation Answer: B) 83.5°

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9 2561
Q:

Kanchan bought a clock with 25% discount on marked price. She sold it with 75% gain on the price she bought. What was her profit percentage on the marked price?

A) 31.25 B) 50
C) 56.25 D) 60
 
Answer & Explanation Answer: A) 31.25

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21 2310
Q:

Select the time that would depict the correct mirror image of 9:30 on a clock.

A) 2:30 B) 6:30
C) 7:30 D) 4:30
 
Answer & Explanation Answer: A) 2:30

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4 2047
Q:

Two people A and B are at a distance of 260 km from each other at 9:00 a.m. A immediately starts moving towards B at a speed of 25 km/h and at 11:00 a.m. B starts moving towards A at a speed of 10 km/hr. At what time (in p.m.) will they meet each other?

A) 5:00 B) 6:00
C) 6:30 D) 7:00
 
Answer & Explanation Answer: A) 5:00

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11 1944
Q:

The circular measure of the included angle formed by the hour hand and minute hand of a clock at 3 PM will be

A) π4 B) π3
C) 5π12 D) π2
 
Answer & Explanation Answer: D) π2

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22 1936
Q:

At what time between 4 o'clock and 5 o'clock will the two hands of the clock be at the right angle to each other for the first time?

A) 58/11 min past 4 o'clock B) 422/11 min past 4 o'clock
C) 60/11 min past 4 o'clock D) 420/11 min past 4 o'clock
 
Answer & Explanation Answer: C) 60/11 min past 4 o'clock

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14 1850
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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14 1165
Q:

How many times in a week does both the hands of the clock will coincide with each other?

A) 84 B) 160
C) 56 D) 168
 
Answer & Explanation Answer: D) 168

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9 1151