A certain 12-hour digital clock displays the hour and the minute of a day. Due to a defect in the clock whenever the digit 1 is supposed to be displayed it displays 7. What fraction of the day will the clock show the correct time ?

• The clock will show the incorrect time (between 1 – 2, 10 -11, 11-12 , 12 - 1 day and night both) ∴ in correct time 8 × 60 = 480 (each minute it will display 1) Remaining 20 hours it will show the incorrect time 16 × 15 = 240 Total incorrect time = 240 + 480 = 720 correct time = 1 – incorrect time
  1- 720/24*60 = 1/2
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