Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 16)
16.
At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?
5 1 "
11
12 4 "
11
13 4 "
11
16 4 "
11
Answer: Option
Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

15 min. are gained in 60 x 15 min = 16 4 min.
55 11

The hands are coincident at 16 4 min. past 3.
11

Discussion:
33 comments Page 2 of 4.

Arun said:   10 years ago
@Sai.

How H=3?

Chandra prakash verma said:   10 years ago
As it is between 3 to 4 o'clock. So hour (H=3).

Sai said:   9 years ago
55 min are gained in 60 min means;

Take an example minute hand and hour hand at 12 o clock i.e. both coincide.

Now when hour hand moves by 1 hour it has covered only 5 degrees from the start i.e.12 o clock.

However, the minute hand covers 60 degrees from the start i.e. 12o clock.

So in 60 minutes minute hand gains 55 minutes on hour hand (i.e. 60 - 5 = 55).

Fiza khan said:   9 years ago
I was also confused about 55 m but now I got it with the help of the explanation.

Thanks to all.

Kajal said:   9 years ago
I also confused with 55 m. Please explain it.

Subodh said:   9 years ago
@Kajal.

When minute hand covers 60 minutes that is passed by hour hand only 5 minutes space which alternatively we can say 1 hour for hour hand. But here among space covered by minute hand i.e. 60 minutes. Hour hand expenses only 5 minute equals i.e. 1 hour. So gained by minute hand is 55 minutes.

Josava said:   8 years ago
In that formula,

M=2/11*(30*H +- degree) 2/11(3*30) =180/11 = 16 4/11 ans.

Note coincide means 0 degree.
(2)

Vaibhav gupta said:   8 years ago
60/55 why it used please explain it?

Hour hand travel only 5 minutes in an hour so why we use 55 minutes.

Vinodh said:   8 years ago
Its very easy I am n. Vinodh kumar the formulae is x (x/11). So here x=3. We have to multiply with 5.
So 3*5=15.
Now x is 15 so as per formulae 15 (15/11) =16 (4/11).

Peaceful said:   8 years ago
No, The needles only move after every second. With time unit smaller than one second, all needles stay where they are. Since 16 (4/11) minutes = 16*60 (4/11) (in second) is not a natural number, So, it cannot be the answer.


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