Aptitude - Clock - Discussion

I think 59 (7/12) past 3.

So, Option A is correct.

The answer is A.

A lot of people are ignoring the extra 25 seconds.
The exact time gained is 925 seconds.
(This is best explained in the comment down below)
900 seconds is 15 minutes. So, we deduct 15 minutes from the time given.
ADDITIONALLY, 25 seconds also will be deducted -
60 - 25 = 35 seconds remaining.
Hence, 35/60 which explains the extra 7/12.

The final answer is -> 59 7/12 minutes past 3.

Gain:
3 minutes 5 sec,
15 minutes 25 sec,
30 minutes 50 sec,
60 min( 1 hour) 100 sec.

Then, 7 to 4:15 - 9 hours 15 minutes.
Per hour 100 sec= 900.
And 15 minutes 25 sec.
Total - 925 sec.
925 sec ÷ 60 = 15 minutes.
(15 mins is extra).
9 hours 15 - 15 minutes 9 hours.
7 AM to 4 PM (9 hours).
So, the answer is 4 PM.

For 3 mins it gains 5 seconds.

Then for 925 minutes (9hr 15 min) it gains 15 mins 25 seconds.

So, subtract 15 mins 25 seconds from 4:15.
We will get 3:59:35 which is 59* (7/12) mins past 3.

Thank you everyone for explaining the answer.

It gains 5 seconds in 3 minutes.

3min = 5seconds
3min = 1/12 min
1min = 1/36 min

Let correct watch shows time which is x min ahead of 7 am.

Then minutes gained by faulty clock = x/36minutes.

So, the faulty clock is ahead of 7 am by (x + x/36)min or 37x/36 min.

but in question, it is given faulty clock shows 4.15 pm which is (9*60+15)min or 555min ahead of 7 am.

So,
37x/36 = 555

x = 540min or 9 hrs

So, the correct time is 7 am + 9hr = 4 pm.

Note: We have to calculate the time gained by the faulty clock in terms of the correct clock not in terms of the faulty clock time given in the question

3 min - 5 sec.
30 min - 50 sec.
60 min - 100 sec. [ 1 hour - 100 sec]
9 hours - 900 sec [900 sec = 15 min ].

The clock is showing 4:15 and we know that it gained 15 mins
Therefore it must the real-time is 4 pm.

The right answer is option A.

Gained time = 925 secs ==> 15 mins and 25 secs.

From 4.15 - 15 mins ==> 4 (only subtracting the 15mins).

From 4 - 25 secs ==> converting in fraction (25/60) ==> need to subract 25 sec ie: remaining of 35/60,

So,3 hrs and 59 mins and 35/60 ==> 59 mins 7/12 past 3. So, the answer is A.

9 hr 15 min= 555min.

Watch gain 5 sec in 3 min so, we will check how many minutes gain 5 sec.

So, 555/3= 185min
185 min gains how many sec=185 multiplies with 5 = 925 sec.

And convert 925sec into min= 15.41 min( gain a minute, so we have to minus it from the time shown)

Now 4.15 was showing on the clock now minus 15min from it= 4pm.