Aptitude - Clock - Discussion

Discussion Forum : Clock - General Questions (Q.No. 4)
4.
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:
59 7 min. past 3
12
4 p.m.
58 7 min. past 3
11
2 3 min. past 4
11
Answer: Option
Explanation:

Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min. = 37 hrs.
4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

37 hrs of this clock = 1 hrs of the correct clock.
720 20

37 hrs of this clock = 1 x 720 x 37 hrs of the correct clock.
4 20 37 4

      = 9 hrs of the correct clock.

The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

Discussion:
154 comments Page 14 of 16.

Brijesh said:   5 years ago
Use this formula.

(60*hour -11*minutes)/2 by this will get angle btw hour and minute hand.

Then we know the hour hand is leading so add minute hand will get an answer.

Rajat said:   5 years ago
9hrs and 15 minutes =555 and 555/60 = 9.25, but how it is 37/4?

Please explain.

Yogetha said:   5 years ago
@Rajat.

555/60=9.25 that can be written in fractional form by simplifying it as 37/4 since (15*37=555 & 15*4=60).

RESHMA said:   5 years ago
@Mamta.

Your explanation is quite easy for me to understand. Thanks for helping.

Prashasti said:   5 years ago
Well said, Thank you @Sundar.

Rishabh said:   4 years ago
Thanks for explaining @Sundar.

Neci said:   4 years ago
Clock gains 5 seconds every 3 minutes = 100 seconds every hour (60 minutes) = 900 seconds every 9 hours = 15 minutes every 9 hours.

Hence, when the faulty clock shows 4:15 PM, the actual clock should show 15 minutes less i.e. 4:00 PM.
(3)

Alya said:   4 years ago
Crt time: 3mins wrong time: 3mins 5 seconds.
So 1 hr = 1hr 100 seconds wrong time.
7:00 Am to 4:15 PM = 9 hrs 15 mins difference,
For 9 hr 15 mins = 9 hr 925 sec wrong time,
Subtract 925 sec (900sec = 15 mins)from 4: 15 PM

So, the ANSWER is 4:00 PM.
(4)

Karthik said:   4 years ago
Watch gain 5 sec each 3min.

1-hour watch gain 100sec.

100x9 =900 further 15 min watch gain 25sec if we divided 925/60 we get 15 min we minus 15 min from 4.15 we get 4.00.
(7)

Rohit said:   4 years ago
925/60 is not equal to 15, it is equal to 15 5/12 and you subtracted the 15 min but what about 25 sec? Please explain.
(13)


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