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If we assign the letters P, C and M to the fruits, and work in pence we have:

M + C = 119 (1) M + P = 145 (2) C + P = 140 (3)

Using (2) - (1) we have:

P - C = 26 (4)

And (3) + (4) gives:

2P = 166 P = 83

This can then be substituted back into (2) and (3). QED.

Puzzle 2

At the recent passing out parade of the local St John Ambulance summer recruitment drive, there were exactly 100 successful recruits. They were lined up in a nice square formation of 10 rows by 10 columns. Who was the tallest - the tallest of the shortest people in each column OR the shortest of the tallest people in each row?

[Ref: ZQAO]

Hint: Drawing this out might help.

Answer: The shortest of the tallest people in each row will always be taller (unless they happen to be the same person).

Puzzle 3

Can you fill the thermometers with mercury, such that the numbers outside the grid indicate how many cells in each row and column contain mercury.

Mercury always starts filling from the bottom of a thermometer and not every thermometer has to contain mercury.

Hint: Tops of thermometers can't be filled unless the bottoms are.

Answer:

Puzzle 4

Can you find something which has keys that open no locks, with space but no room, and allows you to enter but not to go in?

[Ref: ZHMU]

Hint: Look in front of you?

Answer: A keyboard.

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