Question

Vinit bought a new wall clock on Monday and set the correct time as 10 am

on it and fixed it on a wall
The same clock loses 15 minutes in 24 hours
What will be the true time if the clock indicates 4a.m
on the following Sunday? *
a 6:00 a.m.
b 5:02 am
c 4:44 a.m
d 5:12 a.m.
e 6:43 a.m.

Answer 1

The true time when a clock that loses 15 minutes every 24 hours and is set at 10 am Monday shows 4 am the following Sunday is calculated to be 5:41 am on Sunday. However, this answer does not match any of the options provided, suggesting a potential error in the question or options.

Step-by-step explanation:

To determine the true time displayed by a clock that loses time, we need to calculate the total lost time over the period in question. Vinit sets the correct time at 10 am on Monday, and by Sunday 4 am, a total of 6 days and 18 hours, or 162 hours, have passed. Given the clock loses 15 minutes every 24 hours, we can use the following steps to find the true time:

1. Calculate the total minutes lost: (162 hours / 24 hours) * 15 minutes = 101.25 minutes.
2. Find the full hours and remaining minutes lost: 101 minutes = 1 hour and 41 minutes (ignoring the fraction since the clock doesn't account for seconds).
3. Add the lost time to the indicated time (4 am Sunday): 4 am + 1 hour 41 minutes = 5:41 am.

Hence, the correct answer is 5:41 am, which is not provided among the options. Therefore, it appears there is an error in the provided options or in the initial information given in the question.