Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 10)
10.
At 3:40, the hour hand and the minute hand of a clock form an angle of:
120°
125°
130°
135°
Answer: Option
Explanation:

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

Angle traced by it in 11 hrs = 360 x 11 ° = 110°.
3 12 3

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

Angle traced by it in 40 min. = 360 x 40 ° = 240°.
60

Required angle (240 - 110)° = 130°.

Discussion:
43 comments Page 3 of 5.

Philippine Science Student (Andrei) said:   9 years ago
Let x be the minute hand.

And x/12 the hour hand.

Since the hour hand moves 5 minutes spaces every 160 minutes.

That means it moves 1 minute space every 12 minutes. And also there are 360 degrees in a clock and 60 minutes.

That means a minute is equal to 6 degrees. It is mentioned that it's 40 minutes after 4.

So, let's first get the distance of the hands in minutes spaces.

= 40-(40/12)+15.

Since the time is after 4 the hour hand is 20 minutes after 12.

= 40-18 1/3.

= 21 2/3.

= 21 2/3 x 6 = 130.

It's 130 degrees apart.

Sayali said:   9 years ago
Solutions given by the site are bit difficult to understand or the approach is bit different, but with basics in your hand problems can be solved faster and don't always accept the system's solutions.

Satish said:   10 years ago
Ok clear 30+(40/60) = 11/3.

Pallavi said:   10 years ago
Answer should be 140.

Angle between 3 & 40 is 160-40/2 = 140.

Subtraction because 3 (hour hand is approaching min hand).

Pallavi said:   10 years ago
Answer should be 140.

Angle between 3 & 40 is 160 degree + 40/2 = 140 degree.

Birendra said:   10 years ago
I don't understand Angle traced by it in 11 hrs = 360x11° = 110°.

Priti said:   1 decade ago
Formula: (+)(-)A = 30(H)-5.5(min).

= 30*3-5.5*40.

= 90-220.

= 130 degree answer.

Mohit said:   1 decade ago
Always remember 1 minute = 4 degree. So what, consider time between hour hand and minute is 32.5minutes.

32.5minute*4 = 130 degree using this tip.

Kavitha said:   1 decade ago
The Angle between hour and minute hand is |(X*30) - ((Y*11)/2)|.

Azar said:   1 decade ago
While considering 3.40 we take 40 mins = 40/60 = 2/3.

So 3*2/3 = 11/3.


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