The time on a cell phone is 3:52. How many minutes will pass before the phone next shows a time using each of the digits 2,3 and 5 exactly once?
(A) 27
(B) 59
(C) 77
(D) 91
(E) 171

## Part B: Each correct answer is worth 6.
There are six times that can be made using each of the digits 2,3 and 5 exactly once: $2: 35$, $2: 53,3: 25,3: 52,5: 23$, and $5: 32$.

The first of these that occurs after 3:52 is 5:23.

From $3: 52$ to $4: 00,8$ minutes pass.

From 4:00 to 5:00, 60 minutes pass.

From 5:00 to 5:23, 23 minutes pass.

Therefore, from 3:52 to 5:23, which is the next time that uses the digits 2,3 , and 5 each exactly once, a total of $8+60+23=91$ minutes pass.

ANSWER: (D)