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:

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

A) 145 B) 155
C) 165 D) 175
 
Answer & Explanation Answer: B) 155

Explanation:

Angle traced by hour hand in 12 hrs = 360º

 

Angle traced by hour hand in 5 hrs 10 min. i.e 316 hrs = 36012×3160 = 1550

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Q:

When the two hands are at right angles, they are ---------- minute spaces apart,

A) 13 B) 14
C) 15 D) 16
 
Answer & Explanation Answer: C) 15

Explanation:

 

 

 

 

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Q:

What time will it be in 45 minutes?

Now, if the time is 4:48 pm.

Answer

As now, the time 4 : 48 pm after 45 min it will be


4:48 + 45 min = (4 hrs : 48 + 12 min) pm + 33 min = 5 hrs : 33 min pm.


Hence, it is 5:33 pm.

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Q:

What time does the mirror image of an analog clock at 5'O clock show?

A) 12 :00 B) 5 :00
C) 7 :00 D) 6 :00
 
Answer & Explanation Answer: C) 7 :00

Explanation:
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Q:

A watch which gains uniformly is 2 minutes low at noon on Tuesday and is 4 min 48 sec fast at 2 p.m. on the following Tuesday. When was it correct ?

A) 12 p.m. on Wednesday B) 2 p.m. on Thursday
C) 3 p.m. on Thursday D) 2 p.m. on Wednesday
 
Answer & Explanation Answer: B) 2 p.m. on Thursday

Explanation:

Time from 12 p.m. on Tuesday to 2 p.m. on the following Tuesday = 7 days 2 hours.
= 170 hours.
The watch gains = (2 + 4 x 4/5) min
= 34/5 min. in 170 hrs.
Now, 34/5 min are gained in 170 hrs.
Then, 2 min are gained in (170 x 5/34 x 2) hrs.
Watch is correct after 2 days 2 hrs after 12 p.m. on Tuesday, i.e., it will be correct at 2 p.m. on Thursday.

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Q:

How many times in a day, are the hands of a clock in straight line but opposite in direction?

A) 11 B) 22
C) 33 D) 44
 
Answer & Explanation Answer: B) 22

Explanation:

The hands of a clock point in opposite directions (in the same straight line) 11 times in every
12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).
So, in a day, the hands point in the opposite directions 22 times

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Q:

What time will it be in 8 hours?

Answer

For exampe if it is 12:45 AM, then after 8 hours the time is 


12 hrs 45 min + 8 hrs = 8 : 45 PM in the night on the same day. 

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Q:

A clock gains 15 minutes per day. If it is set right at 12 noon, the time it shows at 4 AM is

A)  4.20 AM B)  4.30 AM
C) 4.02 AM D) 4.10 AM
 
Answer & Explanation Answer: D) 4.10 AM

Explanation:
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