# 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.

Filed Under: Clock puzzles

67 16825
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.,${\color{Black}&space;\frac{31}{6}}$ hrs ${\color{Black}&space;\left&space;(&space;\frac{360}{12}&space;\times&space;\frac{31}{6}\right&space;)^o}$= 155º

Filed Under: Clock puzzles

40 13759
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.

${\color{Black}&space;\therefore&space;}$ The Watch gains ${\color{Black}&space;\left&space;(&space;2+4\frac{4}{5}&space;\right&space;)&space;}$ min.  or ${\color{Black}&space;\frac{34}{5}&space;}$  min.in 170 hrs.

Now,  $\inline \fn_cm \frac{34}{5}$min.are gained in 170 hrs.

${\color{Black}\therefore&space;}$  2 min.are gained in${\color{Black}\left&space;(&space;170\times&space;\frac{5}{34}\times&space;2&space;\right&space;)&space;}$ hrs=50 hrs

${\color{Black}&space;\therefore&space;}$ 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

Filed Under: Clock puzzles

39 6843
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  ${\color{Black}&space;\frac{11}{3}}$ hrs=  ${\color{Black}&space;\left&space;(&space;\frac{360}{12}&space;\times&space;\frac{11}{3}\right&space;)^{o}}$=${\color{Black}110&space;^{o}}$

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

Angle traced by it in 40 min. =${\color{Black}\left&space;(&space;\frac{360}{60}&space;\times&space;40\right&space;)^{o}}$=${\color{Black}240^{o}}$

${\color{Black}&space;\therefore&space;}$ Required angle (240 - 110)º = 130º.

Filed Under: Clock puzzles

26 5747
Q:

How many minutes is it until six o’clock if fifty minutes ago it was four times as many minutes past three o’clock?