# Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 14)
14.
At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?
45 min. past 4
40 min. past 4
 50 4 min. past 4 11
 54 6 min. past 4 11
Explanation:

At 4 o'clock, the hands of the watch are 20 min. spaces apart.

To be in opposite directions, they must be 30 min. spaces apart. Minute hand will have to gain 50 min. spaces.

55 min. spaces are gained in 60 min.

 50 min. spaces are gained in 60 x 50 min. or 54 6 min. 55 11 Required time = 54 6 min. past 4. 11

Discussion:
53 comments Page 1 of 6.

If any tell me how is it come 30 min space apart...

I am not clear above answer any one tell me.

Here 30 min space apart means for opposite directions of minute hand and hour hand 30 min space apart.

Shree Hema said:   1 decade ago
Here we can use the formula:
theta=11(m)/2-30(h)
opposite direction means 180 degree; hour=4
180=11(m)/2-30(4)
m=54 6/11

Its simple only so i think formula s no need for this ... if both the hands r in opposite direction or in the same straight line in 30 mins spaces ... v have 2 find out the time b\w 4 to 5 . at the time of 4 the spaces b\w the both hand s 20 min so 20=30=50 ...
60/55*50 =54*6/11min past4. hope u will understand?

Its simple only so i think formula s no need for this ... if both the hands r in opposite direction or in the same straight line in 30 mins spaces ... v have 2 find out the time b\w 4 to 5 . at the time of 4 the spaces b\w the both hand s 20 min so 20+30=50 ...

60/55*50 =54*6/11min past4. hope u will understand?

Why 50 min why not 10 min to be 30 spaces apart ?

@Neeraj

Because the minutes hand can move only in clock-wise direction. So 20 min to reach at the same place as the hour hand + 30 min reach in the opposite direction.