Time for Christmas
For Christmas George has bought Martha a novelty digital 24-hour clock. It has an eight-digit display forming four two-digit numbers. The first three of these two-digit numbers are very conventional - the hours, the minutes and the seconds. However, the final two-digit display shows the sum of the first six displayed digits!
On two occasions today all eight digits displayed were different and three of the four two-digit numbers were perfect squares. Between those two occasions there was a time when the eight digits displayed were again all different, but this time the sum of the eight digits was a perfect square!
What was the eight-digit display at that in-between time?
Send your solution to Teaser 2830, The Sunday Times Teaser 2830, PO Box 29, Colchester, Essex CO2 8GZ or email puzzle.entries@sunday-times.co.uk. The first two correct solutions opened after next Saturday win £20.
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Solution to Teaser 2829: 3211278
Winners Teaser 2827 C Clarke, Boughspring, Gloucestershire G Walker, London W1