The time on a digital clock is 5:55. How many minutes will pass before the clock next shows a time with all digits identical?
(A) 71
(B) 72
(C) 255
(D) 316
(E) 436
The time on a digital clock is 5:55. How many minutes will pass before the clock next shows a time with all digits identical?
(A) 71
(B) 72
(C) 255
(D) 316
(E) 436

## Solution

The digits on the clock will next be identical at 11:11. This represents a time difference of 316 minutes. (Notice that times like 6:66, 7:77 etc. are not possible.)

ANSWER: (D)