Then in each round each player looks at his or her cards and predicts how
many “tricks” he or she will get when the cards are played in a whist-type
fashion. At the end of each round each player gets the number of points equal to
the number of tricks he or she has won plus a bonus of ten points if their
prediction was correct.

Players keep their own scorecard, and here is an example of a recent one of
mine, giving me a total of 56:

In another game my total after five rounds was again 41, and again my final
total was even, but I noticed that the eight “totals so far” were all different
two-figure numbers such that the reverse of any one of the “totals so far” was
another of the “totals so far”.

What was my final score?

A ÂŁ10 book token will be awarded to the sender of the first correct
answer opened on Thursday 20 June. The Editor’s decision is final. Please send
entries to Enigma 875, New ĐÓ°ÉÔ­´´, King’s Reach Tower, Stamford Street,
London SE99 0BB. The winner of Enigma 869 was D. Vincent of Watford, Herts.

Answer to Enigma 869

Solitaire

Table

I HAD a day at the health club recently. I planned to have one full session of squash, one full session of badminton and one full session in the sauna (but not necessarily in that order) with at least a one-hour break between each of the sessions. The club’s timetable of sessions is shown above.

By coincidence my colleagues Mark and Jenny also spent the day there with the same idea in mind (although none of us necessarily did any of the activities together).

Our boss (who knew all the above facts) tried to telephone me at one stage but was told I was busy. From this he was able to work out my exact day’s schedule.

An hour later he tried to telephone Mark but was told he was busy and he was told the activity which Mark was engaged in. From this my boss was able to work out Mark’s exact schedule.

Another hour later he tried to telephone Jenny but was told she was busy and he was told the activity which Jenny was engaged in. From this my boss was able to work out Jenny’s exact schedule.

Which is the correct order of the men’s, women’s, and mixed sessions in the sauna?

A ÂŁ10 book token will be awarded to the sender of the first correct answer opened on Thursday 20 April. The Editor’s decision is final. Please send entries to Enigma 814, New ĐÓ°ÉÔ­´´, King’s Reach Tower, Stamford Street, London SE99 0BB. The winner of Enigma 808 was Stephanie Clark of Thame, Oxfordshire.

Answer to Enigma 808

Multi-choice question

“It is a two-figure prime”; E.

We start at one end of the pool together and she gradually gets ahead. After completing a length she turns, and, when we meet, I turn round and swim with her again. Of course she soon gets ahead again and we repeat this procedure each time we meet after she has turned around at either end of the pool. When she has completed four lengths and we meet when she is on her fifth length, I calculate that, to the nearest metre, I have completed three lengths. How many metres do I swim when she swims a length?

A ÂŁ10 book token will be awarded to the sender of the first correct answer opened on Thursday 5 January. The Editor’s decision is final. Please send entries to Enigma 799, New ĐÓ°ÉÔ­´´, King’s Reach Tower, Stamford Street, London SE99 0BB. The winner of Enigma 794 was Chris Finn of Beverly, East Yorks.

Answer to Enigma 794

Squares on cubes

None