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:
156 comments Page 16 of 16.

Brijesh said:   6 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:   6 years ago
9hrs and 15 minutes =555 and 555/60 = 9.25, but how it is 37/4?

Please explain.

Yogetha said:   6 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:   6 years ago
@Mamta.

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

Prashasti said:   6 years ago
Well said, Thank you @Sundar.

DRB said:   4 weeks ago
@All.

To those who say option A is correct.

1. Total minutes as per the time shown by the watch from 7.00 am to 4.15 pm
555 minutes.
(these 555 minutes also include the 5 sec. gained by the watch every 3 minutes.
Most people have failed to adjust to the same.)

2. Let's see how to adjust to nullify the 5 seconds gained every three minutes to arrive at the correct answer.
Every three minutes, the watch gains 5 seconds.
3 minutes = 180 seconds.
So, 555minutes * 180/185 =540 minutes.

NOTE: This step can be solved in many different ways. for eg, instead of converting 3 minutes in 180 seconds, you can keep them as it is and instead say gains per minute is 1.66666667 seconds. etc.

3. Final answer 7.00 am + 540 minutes = 4.00 pm.


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