Miscellaneous Puzzles 61find a number that we can multiply by 4 and then divide the product by 5 in
the same simple manner, by moving the first figure to the end?
Of course 714,285,just given, would do if we were allowed to transfer from
the end to the beginning. But it must be from the beginning to the end.- A QUEER ADDITION
Colonel Crackham asked the junior members of his household at the
breakfast table to write down five odd figures so that they will add up and
make fourteen. Only one of them did it.- SIX SIMPLE QUESTIONS
( I) Deduct four thousand eleven hundred and a half from twelve thousand
twelve hundred and twelve.
(2) Add 3 to 182, and make the total less than 20.
(3) What two numbers multiplied together will produce seven?
(4) What three figures multiplied by five will make six?
(5) If five times four are 33, what is the fourth of 20?
(6) Find a fraction whose numerator is less than its denominator, but
which, turned upside down, shall remain of the same value.
- THE THREE DROVERS
As the Crackhams were approaching a certain large town they met and were
delayed in passing first a flock of sheep, then a drove of oxen, and afterwards
some men leading a number of horses. They ascertained that it was a special
market day at the town. George seized the occasion to construct the following
puzzle:
"Three drovers with varied flocks met on the highway," he proposed.
"Said Jack to Jim: 'If I give you six pigs for a horse then you will have twice
as many animals in your drove as I will have in mine.' Said Dan to Jack: 'If
I give you fourteen sheep for a horse, then you'll have three times as many
animals as I have got.' Said Jim to Dan: 'But if I give you four cows for a
horse, then you'll have six times as many animals as I.' There were no deals;
but can you tell me just how many animals there were in the three droves?"