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 8 of 16.

Shivanand sattikar said:   9 years ago
@Praveen.

You gave an easy and best explanation, thanks man.

Jeyam said:   9 years ago
@Aishwarya.

You don't get confused, first calculate how many minutes are there.

9hrs * 60 minutes +15 = 555 minutes.

Again calculate how many 3 minutes are there i.e. 555 ÷ 3 =183.
Again 180 minutes * 5 second = 915.
Again 914 ÷ 60 = 15 minutes. So 4 : 15 - 15 = 4pm.

Don't bother about the remaining 15 sec because we calculate ahead of the 15 minutes, so it's very factual to deduct.

Aishwarya said:   9 years ago
Can any one explain this answer step by step? Please, I didn't understand this.

Aishwarya said:   9 years ago
How is it 37/4 in the first step?

Vinod kumar pattnaik said:   9 years ago
As given in question we know that.

A watch gains 5 seconds in 3 minutes.

Its means covert 3 min into seconds 4.

(3 x 60) = 180 sec (1 min = 60 sec).

Question tells 5 seconds gain.

It means for 180 sec it will become 180 + 5 = 185 seconds.

Right time is 180 seconds wrong time is 185 seconds.

Difference between true time and wrong time is 7 am to 4. 15 pm is 9 hours 15 min.

(9 x 60 = 540 + 15 = 555 min).

For 180 - 185.

? - 555.

(180 x 555) /185 = 540 in sec convert into min I. E 540/60 = 4 min.

Rajasekar said:   9 years ago
3M = 5s.
60M = 100s.
9H = (9 * 60m) = (9 * 100s) = 900s.
15M = 25s.
900S + 25s = 925s.
925S / 60s = 15.4m.

So, 15.4 is faster.

So reduce the faster value in actual value.

4.15m - 0.15m = 4h.

Shivam said:   9 years ago
@Dedeepya.

We can't go with the process you suggested because;

Let us take the correct time be 'x'.
Now as we already know that 'x' will be lesser than 4 : 15.
Now the mistake in your idea is you are taking x as 4:15 which means in another (4 : 15 - x) the error clock will gain (4 : 15 - x) * 3s, which you are not considering.

Kindly take 'x' instead of 4 : 15 and solve again you will definitely land into a correct answer.

Praveen said:   9 years ago
Thank you very much @Sundar.

Sri said:   9 years ago
Hi, @Mamta

I didn't understand your answer. Please explain it once again.

Poulam said:   9 years ago
Find the angle between the minute hand and the hour hand if the time 12:20? please give the answer.


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