# Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 13)
13.
How many times in a day, are the hands of a clock in straight line but opposite in direction?
20
22
24
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.

Discussion:
47 comments Page 1 of 5.

I'm trying to find a formula for finding the hands of clock in straight line?

Any formula derived?

Nitesh Nandwana said:   1 decade ago
@Swetha

There is no need of formula , if you want formula for only this question then i don't think it is good. Instead of memorize any formula for this single question why don't you remember it's answer, it is much better, because if you calculate using formula it'll never give you different answer because it is universal truth.

Anyway I want to share if you aren't getting how it is calculated.

In every hour, once hour hand and minute hand will be in opposite direction. It means 24 times in a day, but due to loss of 2 hour, they'll be 22 times only simple.

I'm still confusing in this............. can anyone reveals by doubt?

In 12'o clock the two hands are on same direction, then why we are calculating it?

Hi guys it simple only, just take 1 time piece and try it yourself.

The hand of the clock point in opposite direction 11 times in every 12 hours ...for every 1 hr the min hand and hour hand are in the opposite direction i.e they are in the same straight line but at the time 5 both the hands are not meet the straight line at 6 o clock only it will met the opposite direction so only they said 11 times in 24 hours ... hope u understand.

When minute hands complete full circle in every hour, then how can it be possible that both hands are not in straight line and opposite direction?

Annirban Bhattacharya said:   1 decade ago
This hapns evry 65 min(approx)for each case
=>in 1 day 24 hrs=> 24x60 min

Therefore each case hapns (24x60)/65 times each day................= 22(approx)

Therefore total # of times = 22+ 22=44

For 1 hr Minutes hand moves 60 mins and Hours hand(HH) only 5mins

it means to say Minutes Hans(MH) gains 55 mins over HH.

But be opposite the minutes hand should be 30 mins apart from HH.

55 mins of MH gained in 60 mins
1min gained in 60/55 mins
So 30 mins gained in (60/55)*30
So in 1 hr MH gains (360*2)/11

So in 24 hrs is (24*60)/(720/11)=22 times .