Prize Puzzle Competition 18

Closing date is 30th August 1999

52. I have 4 playing cards. They are the Ace of Clubs, King of Hearts
Queen of Spades and Jack of Diamonds.
They are laid out in a line so that the King is to the right of the Queen;
the Queen is to the left of the Jack; and no 2 cards of the same colour are next to each other.

In which of the numbered positions (1, 2, 3 or 4) is the Ace?

53. The most famous of British admirals, Horatio Nelson,
was born on the 29th September 1758.

On what day of the week was he born?

54. Meeting an old friend with two young children, I asked their ages and, being a mathematician, she told me that the product of her age and each of the two children's ages gave the answer 2,450.
After a pause for thought, I said 'That gives too many possibilities. What is the sum of your three ages?'
'The same as your age' she said
That still left me with a choice but, observing that the children were clearly not twins, my original question was now answered.

How old was my friend?

The winner of Competition #17 was Donald Angus of The Glasgow Academy, Scotland
The answers were:

49.17 paces (each one 83cm or 0.83metres) long
50.The start must have been on H. The order in which they went out was G H J A E B L D C K I.
51. 6009 was intended, but 2002 was also allowed since several pointed out that it worked on a calculator.