VTMO 2021 — Grade 4 — vtmo Question 11

An $HH : MM$ clock $\left(00 : 00 \text{--} 23 : 59\right)$ gains $5$ minutes per real hour. At real midnight, what displayed time should be set so it shows $6 : 00$ and rings at real $6 : 00$ a.m.? Write four digits, e.g.$0515$.