Logic Puzzles

## The Digits And Square Numbers

Difficulty:

All the nine digits are arranged here so as to form four square numbers:

How would you put them together so as to form a single smallest possible square number and a single largest possible square number?

**9, 81, 324, 576**

How would you put them together so as to form a single smallest possible square number and a single largest possible square number?

The lowest square number I can think of, containing all the nine digits once and only once, is 139854276, the square of 11826, and the highest square number under the. same conditions is 932187456 the square of 30384.

See also:

• A Matter Of Time (Difficulty: 1)

• The Dispatch Rider (Difficulty: 2)

• Sharing A Bicycle (Difficulty: 5)

• The Seven Applewomen (Difficulty: 4)

• A Dreamland Clock (Difficulty: 3)