III.

A. C. M.
Arvon Marlborough Boy.
Chilpome.
Dublin Boy.
Furze-Bush.
James.
Partridge.
R. W.
Waiting for the Train.

ANSWERS TO KNOT V.

Problem.—To mark pictures, giving 3 x's to 2 or 3, 2 to 4 or 5, and 1 to 9 or 10; also giving 3 o's to 1 or 2, 2 to 3 or 4 and 1 to 8 or 9; so as to mark the smallest possible number of pictures, and to give them the largest possible number of marks.

Answer.—10 pictures; 29 marks; arranged thus:—

x x x x x x x x x o
x x x x x o o o o
xxoooooooo

Solution.—By giving all the x's possible, putting into brackets the optional ones, we get 10 pictures marked thus:—

x x x x x x x x x(x)
x x x x(x)
x x(x)