# Clock puzzles Questions

Q:

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

 A) 20 B) 22 C) 24 D) 48

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:

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

Explanation:

Angle traced by hour hand in 12 hrs = 360º.

Angle traced by hour hand in 5 hrs 10 min.  i.e., 31/6 hrs $36012*316°$= 155º

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Q:

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

 A) 2 p.m. on Tuesday B) 2 p.m. on Wednesday C) 3 p.m. on Thursday D) 1 p.m. on Friday

Explanation:

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.

The Watch gains $2+445$ min.  or $345$  min.in 170 hrs.

Now,  $345$min.are gained in 170 hrs.

2 min.are gained in$170*534*2$ hrs=50 hrs

Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday

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239 68657
Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

 A) 120 degrees B) 125 degrees C) 130 degrees D) 135 degrees

Explanation:

Angle traced by hour hand in 12 hrs. = 360º.

Angle traced by it in  11/3 hrs=  $36012*113°$=$110°$

Angle traced by minute hand in 60 min. = 360º.

Angle traced by it in 40 min. =(360/60*40)$°$=240$°$

Required angle (240 - 110)º = 130º.

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147 44413
Q:

What is two days after the day after the day before yesterday?

Tomorrow

The day before yesterday was two days ago; the day after the day before yesterday was yesterday; two days after that (yesterday) is tomorrow.

Subject: Clock puzzles

34897
Q:

At what time between 2 and 3 O'clock, the hands of a clock coincide ?

 A) 1 10/11 minutes past 2 B) 1 10/11 minutes past 3 C) 1 11/10 minutes past 3 D) 11 10/11 minutes past 2

Explanation:

Since, in one hour, two hands of a clock coincide only once, so, there will be value.
Required time  minutes past H.
Here H - initial position of hour hand = 2 (since 2 O'clock)
A° = Required angle = 0° (Since it coincides)

minutes past 2

=> $11011$ minutes past 2

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43 12596
Q:

Find at what time between 9 and 10 o’clock will the hands of a clock be in 180° ?

 A) 180/14 min past 10 B) 180/11 min past 9 C) 148/7 min past 10 D) 154/11 min past 9

Explanation:

At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.
So, the minute hand should gain = (30 - 15) minutes = 15 minutes
55 minutes will be gained in 60 min.
15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.
The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9.

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60 11925
Q:

Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

 A) 5 degrees B) 10 degrees C) 15 degrees D) 25 degrees

Explanation:

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

Required angle = distance of hour hand = speed × time = $12$× 20 =10 degrees.