PERPLEXITIES. 
Witt Some Easy Puzzles for Beginners. By Henry E. Dudeney. 
155.— THE SIX FROGS. 
Tiie six educated frogs in the illustration are trained 
to reverse their order, so that their numbers shall read 
6, 5, 4, 3, 2, 1, with 
the blank square ^ 
in its present posi- 
tion. They can 
jump to the next 
square (if vacant) 
or leap over one 
frog to the next square beyond (if vacant), just as 
we move in the game of draughts, and can go back- 
wards or forwards at pleasure. Can you show how 
they perform their feat in the fewest possible 
moves ? It is quite easy, so when you have done 
it add a seventh frog to the right and try again. 
Then add more frogs until you are able to give the 
shortest solution for any number. For it can always be 
done, with that single vacant square, no matter how 
many frogs there are. 
159.— THEIR AGES. 
If you add the square of Jack’s age to the age 
of Jill, the sum is 62 ; but if you add the square 
of Jill’s age to 
the age of Jack 
the result is 176. 
Can you say what 
are the ages of 
Jack and Jill ? 
156.— THE MOTOR-BICYCLE RACE. 
At a motor-bicycle race round a circular track one 
spectator said to another, as the cycles went whirling 
round and round the course : — 
“ There’s Gogglesham — that man just going by ! ” 
“ Yes, I see,” was the reply ; “ but how many cycles 
are running in the race ? ” 
“ Add one-third of the number of cycles running in 
front of Gogglesham to three-quarters of those behind 
him, and that will give you the answer ! ” 
Now, how many cycles were actually running in that 
race ? 
Solutions to Last Month s Puzzles. 
151. — A FAMILY 
PARTY. 
The party consisted 
of two little girls and 
a boy, their father and 
mother, and their 
father’s father and mother. 
152.— TIIE EIGHTEEN DOMINOES. 
150.— A PLANTATION PUZZLE. 
The illustration shows the ten trees that must be 
left to form five rows 
with four trees in every 
row. The dots represent 
the positions of the trees 
that have been cut 
down. 
157.— TIIE DISSECTED CIRCLE. 
How many continuous strokes, without lifting your 
pencil from the paper, do you 
require to draw the design 
shown in our illustration ? 
Directly you change the direc- 
tion of your pencil it begins 
a new stroke. You may go 
over the same line more than 
once if you like. It requires 
just a little care, or you may 
find yourself beaten by one 
stroke. 
158.— THE CYCLISTS’ FEAST. 
’Twas last Bank Holiday, so I’ve been told, 
Some cyclists rode abroad in glorious weather. 
Resting at noon within a tavern old, 
'I hey all agreed to have a feast together. 
“ Put it all in one bill, mine host,” they said, 
“ For every man an equal share will pay.” 
The bill was promptly on the table laid, 
And four pounds was the reckoning that day. 
But, sad to state, when they prepared to square, 
’Twas found that two had sneaked outside and lied. 
So, for two shillings more than his due share 
Each honest man who had remained was bled. 
They settled later with those rogues, no doubt. 
How many were they when they first set out ? 
The illustration explains itself. It will be found 
that the pips in every column, row, and long diagonal 
add up 18, as required. 
I53 . — A CHARITABLE 
BEQUEST. 
There are seven dif- 
erent ways in which the 
money may be distri- 
buted : 5 women and 
19 men, 10 women and 
16 men, 15 women and 
13 men, 20 women and 
10 men, 25 women and 
7 men, 3 o women and 4 
men, and 35 women 
and r man. But the last case must not be counted, 
because the condition was that there should be 
“ men,” and a single man is not men. Therefore 
the answer is six years. 
154.— A WORD SQUARE. 
BEACH 
ENDUE 
ADORE 
CURED 
HEEDS 
