# Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 11)
11.
How many times are the hands of a clock at right angle in a day?
22
24
44
48
Explanation:

In 12 hours, they are at right angles 22 times. In 24 hours, they are at right angles 44 times.

Discussion:
76 comments Page 1 of 8.

Jamshaid said:   7 months ago
Simply speaking, every 15 min (4/Hour) is right angle except at 6 & 12, AM PM both. (24 x 4) - 4.
(5)

Rahul said:   10 months ago
At 10 o clock, we can't observe a right angle. Right?
(2)

Sathesh said:   1 year ago
At what time 90 degrees formed 11 and 12? Anyone, please explain.
(2)

Suvrat Advait said:   2 years ago
It's awesome. Thanks all for explaining.
(1)

Amcodes said:   2 years ago
=> When Hour and Min Hand are 15 mins and 45 mins away from each other, they form a right angle. So basically in every 60 min SPACES(not mins), they form right angles 2 times.

=> Let's start from 12 AM (0 degree angle).
55 min spaces are covered in 60 mins.
So 60 min spaces are covered in?
=(60*60)/55 mins.

> In a day there are 24 hours = 24 x 60 mins,
So how many such 60 min spaces exist in a day.
= ( (24*60) / ((60*60)/55)) = 22
So, 22*2 = 44 times they form a Right angle in a day.
(1)

Vijay kumar said:   4 years ago
(1)

Pratik said:   5 years ago
Every hour, 2 right angles are formed between the hands. But because minute hand crosses hour hand every 55 mins, every hour, there is a 5-minute lag. For 24 hours, the lag is 24x5= 120 mins i.e. 2 hour lag - a loss of 4 right angles in 24 hours.

So: 24x2 - loss = 44.
(1)

Moatz said:   6 years ago
The number of degrees that the hour hand of a clock moves through between 1:00 PM to 3:30 PM in of the same day is?

Can anyone solve this.

I am giving SIMPLE EXPLANATION.

Yes, it's right that in each hour clock generally makes 2 right angles.

But between 2-4 it makes only 3 instead of 4 because, at 3 o clock, the right angle is common to both intervals of (2-3) and (3-4).

Similarly, 8-10 make 3 right angles.

ie, 22 right angles in 12 hours and 44 in a day.

INDHUCHOODAN said:   6 years ago
I didn't understand the explanation. Can anyone help me?