## Puzzle 1

Which of the four shapes comes next in this sequence:

Puzzle Copyright © Elliott Line

This puzzle appeared in Mensa's EnigmaSig (193.06) and is used with permission.

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Hint

Perhaps looking around the shapes will help.

Answer

C.

The shapes are the spaces between the digits in the numbers 27, 28, 29, and 30, therefore C is the correct answer, as it is the space between the digits in the number 31.

## Puzzle 2

What three-letter word best completes the below words?

SW...

...Y

AL...

F...

W...

Puzzle Copyright © Kevin Stone

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Hint

The word begins with the letter A.

Answer

Arm.

SWARM

ARMY

ALARM

FARM

WARM.

## Puzzle 3

What is the next number in this sequence:

1 2 4 14 21 ==?==

Puzzle Copyright © Kevin Stone

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Hint

Try writing the numbers as words.

Answer

22.

This is a sequence of numbers that contain the letter O.

One, two, four, fourteen, twenty-one, twenty-two.

## Puzzle 4

Can you find three consecutive even numbers that...

...total 85,008 when multiplied together?

Puzzle Copyright © Kevin Stone

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Hint

Try starting with the cube root of the number.

Answer

42, 44, and 46.

Reasoning

As we require 3 numbers that are multiplied together, we can start with the cube root of 85,008 = 43.9696761...

We can check that 44 divides 85,008 exactly: 85,008 ÷ 44 = 1,932, which means that 44 is likely to be one of the numbers.

And as we know that we need consecutive even numbers we soon find 42 and 46 as the remaining numbers.

Double-Checking

42 x 44 x 46 = 85,008.

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