Latest general Aptitude Question SOLUTION: At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

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(#M40000166) GENERAL question Keep an EYE

At what time after 4.00 p.m. is the minutes hand of a clock exactly aligned with the hour hand?

Asked In general Naveen (14 years ago)

Solved C.T.Narayanan Read Solution (10)

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Read Solution (10) :

Ankit  (12 years ago)

At 4pm the minute and hour hand are 20 minute apart.
As minute hand gain 55 minute over hour hand in 60 minute
here as they are exactly aligned then minute hand should gain 20 min over hr hand
20 minute gain in = (60/55)*20= 21.818181 min = 21min 49.5 sec
so they aligned at 4 hr.21 min.49.5 sec

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Praveen  (11 years ago)

answer : 4:21:49.5

Assume that X minutes after 4.00 PM minute hand exactly
aligns with and hour hand.

For every minute, minute hand travels 6 degrees.

Hence, for X minutes it will travel 6 * X degrees.

For every minute, hour hand travels 1/2 degrees.

Hence, for X minutes it will travel X/2 degrees.

At 4.00 PM, the angle between minute hand and hour hand is
120 degrees. Also, after X minutes, minute hand and hour
hand are exactly aligned. So the angle with respect to 12
i.e. Vertical Plane will be same. Therefore,

6 * X = 120 + X/2

12 * X = 240 + X

11 * X = 240

X = 21.8182

X = 21 minutes 49.5 seconds

Hence, at 4:21:49.5 minute hand is exactly aligned with the
hour hand.

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devender singh saini   (14 years ago)

240/11 minutes
let after x minutes
6x-120=x/2
x=240/11.

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C.T.Narayanan  (14 years ago)

4 hours 21 9/11 minutes or 4 hours 240/11 minutes

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muthusamy  (14 years ago)

4.04 pm

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sathya4046  (14 years ago)

4:21:45 ie 4hrs 21mins 45 sec

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avinash reddy  (14 years ago)

4-20

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Vadivelan M  (14 years ago)

4.22(approx)
but mostly 4:21:48

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abhijeet nand kumar  (14 years ago)

4 hr. 240/11 minutes

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Eshu  (14 years ago)

4 hours 240/11 minutes

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