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Puzzle 185

In each of these 5 words, can you change the underlined letter to produce 5 new words.

The new letters spell a fruit.

DATE
NUT
LIME
PEACH
PEAR

[Ref: ZAJG] © Kevin Stone

Puzzle 186

Farmer Stone is quite an eccentric dairy farmer.

He originally had a total 54 gallons of milk in three churns and he wanted to make sure each churn contained 18 gallons of milk.

In order to do this, he did the following:

First he poured 1/4 of the first churn in the second churn.
He then poured 1/2 of the second churn into the third churn.
Finally he poured 1/3 of the third churn into the first churn.

How many gallons did each churn contain before Farmer Stone started pouring?

[Ref: ZVVT] © Kevin Stone

Puzzle 187

Three countrymen met at a cattle market. "Look here," said Hodge to Jakes, "I'll give you six of my pigs for one of your horses, and then you'll have twice as many animals here as I've got."

"If that's your way of doing business," said Durrant to Hodge, "I'll give you fourteen of my sheep for a horse, and then you'll have three times as many animals as I."

"Well, I'll go better than that," said Jakes to Durrant; "I'll give you four cows for a horse, and then you'll have six times as many animals as I've got here."

No doubt this was a very primitive way of bartering animals, but it is an interesting little puzzle to discover just how many animals Jakes, Hodge, and Durrant must have taken to the cattle market.

[Ref: ZUCK] At A Cattle Market. Amusements In Mathematics by Henry Ernest Dudeney (1917).

Puzzle 188

The BrainBashers safe has a rather unusual control panel.

In order to open the safe you have to press every single button once only, in the correct sequence, ending on the button marked E.

Each button clearly states which button to press next, for example, 2U means move up 2 buttons and 3R means move right 3 buttons.

Can you determine which button you must start with?

 6D 2D 3R 1R 2D 1D 6L 2R 1U 2R 2L 2D 2D 2D 1U 1D 2U 1U 1L 3L 1U 2D 1L 2D 3U 2D 2L 4L 2U 1R 2R 3R E 2U 5L 3R 1D 4R 1U 3L 1U 1D 2U 1R 1R 1R 1R 1U 6U

[Ref: ZCEJ] © Kevin Stone

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