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:
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:
155 comments Page 3 of 16.
Prashasti said:
5 years ago
Well said, Thank you @Sundar.
RESHMA said:
6 years ago
@Mamta.
Your explanation is quite easy for me to understand. Thanks for helping.
Your explanation is quite easy for me to understand. Thanks for helping.
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).
555/60=9.25 that can be written in fractional form by simplifying it as 37/4 since (15*37=555 & 15*4=60).
Rajat said:
6 years ago
9hrs and 15 minutes =555 and 555/60 = 9.25, but how it is 37/4?
Please explain.
Please explain.
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.
(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.
Malini said:
6 years ago
Why we reciprocal it 37÷720? Please explain me.
Shashi said:
6 years ago
We know that 9hr+15min, by converting it in min we get 540+15 = 555min-----eqn1.
To get 3 min parts, we divide 555/3 = 185.
Or we can say we have 185, 3 min.
Multiplying 185 * 5sec (by converting it into min ie 5/60) = 185* (5/60) = 15min.
So distracting 555min - 15min=540.
Or 4hr:15min - 15min = 4hr or 4o'clock.
To get 3 min parts, we divide 555/3 = 185.
Or we can say we have 185, 3 min.
Multiplying 185 * 5sec (by converting it into min ie 5/60) = 185* (5/60) = 15min.
So distracting 555min - 15min=540.
Or 4hr:15min - 15min = 4hr or 4o'clock.
Piyush said:
7 years ago
3min 5sec = 3min.
6min 10sec = 6min.
Similary 1hr = 1hr 1min 40sec.
Calculation:
6*10min = 6*10min 10*10sec
60 min = 60 min 100 sec(61min 40 sec)
So, total gain 1hour = 1min 40 sec.
Time between 7 am to 4.15 pm= 9hr 15 min.
In 9hr 15 min time gain will we 15min because;
9*1min 40 sec=> 9min + 360sec =>9 min + 6min =>15min.
So the correct time in the clock is 4 pm.
And gain in remaining 15 min =25sec (5*5).
25 sec can be neglected.
Hence the correct answer option B.
6min 10sec = 6min.
Similary 1hr = 1hr 1min 40sec.
Calculation:
6*10min = 6*10min 10*10sec
60 min = 60 min 100 sec(61min 40 sec)
So, total gain 1hour = 1min 40 sec.
Time between 7 am to 4.15 pm= 9hr 15 min.
In 9hr 15 min time gain will we 15min because;
9*1min 40 sec=> 9min + 360sec =>9 min + 6min =>15min.
So the correct time in the clock is 4 pm.
And gain in remaining 15 min =25sec (5*5).
25 sec can be neglected.
Hence the correct answer option B.
Piyush said:
7 years ago
3min 5sec = 3min.
6min 10sec = 6min.
Similary 1hr = 1hr 1min 40sec.
Calculation:
6*10min = 6*10min 10*10sec
60 min = 60 min 100 sec(61min 40 sec)
So, total gain 1hour = 1min 40 sec.
Time between 7 am to 4.15 pm= 9hr 15 min.
In 9hr 15 min time gain will we 15min because;
9*1min 40 sec=> 9min + 360sec =>9 min + 6min =>15min.
So the correct time in the clock is 4 pm.
And gain in remaining 15 min =25sec (5*5).
25 sec can be neglected.
Hence the correct answer option B.
6min 10sec = 6min.
Similary 1hr = 1hr 1min 40sec.
Calculation:
6*10min = 6*10min 10*10sec
60 min = 60 min 100 sec(61min 40 sec)
So, total gain 1hour = 1min 40 sec.
Time between 7 am to 4.15 pm= 9hr 15 min.
In 9hr 15 min time gain will we 15min because;
9*1min 40 sec=> 9min + 360sec =>9 min + 6min =>15min.
So the correct time in the clock is 4 pm.
And gain in remaining 15 min =25sec (5*5).
25 sec can be neglected.
Hence the correct answer option B.
Snehashish Das said:
7 years ago
Here seeing so many controversies, I would suggest that if we take the exact accurate value of 925/60.
Then that is equal to 925/60=15.4166666667(if we take 15.41).
Simplification 185/12 that mean 15 and 5/12 part minute.
9 hrs= 9x60=540 min --- 185/12min = 524.58 min.
that means 3 hrs.59 min.35 sec.= 7/12 past 3.
Then that is equal to 925/60=15.4166666667(if we take 15.41).
Simplification 185/12 that mean 15 and 5/12 part minute.
9 hrs= 9x60=540 min --- 185/12min = 524.58 min.
that means 3 hrs.59 min.35 sec.= 7/12 past 3.
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