Using a digital clock the minutes are 5 times greater than the hours and the sum on the display equals 15. What time is it?

The time is 7:35.

Step-by-step explanation:

In a digital clock, the hours is a discrete set of numbers from 1 to 12 and minutes is a discrete set of 0 to 59.

Given that, value of minutes = 5 * value of hours

So, minutes is a multiple of 5 in the given set for the time displayed.

Now, the possible values for the displayed time

1:05, 2:10, 3:15, 4:20, 5:25, 6:30, 7:35, 8:40, 9:45, 10:50, 11:55

It is also given that the sum of the digits displayed is 15.

We see that the sum of digits is 15 only when the time is 7:35

Hence the time is 7:35