Cats and mice

HardBrainteasers~8m

Several cats (more than one) together killed exactly $999919$ mice. Each cat killed the same number of mice, each killed more than one mouse, and each cat killed more mice than there were cats. How many mice did each cat kill?

Show hints (2)+

Cats $\times$ mice-per-cat $= 999919$ , both $>1$ . So factor $999919$ .
It's $991\times1009$ (both prime). Since each cat killed more mice than there were cats, mice-per-cat is the larger factor.

Answer

Reveal answer →

1009

Create a free account to see the full worked solution and track your progress.

Create a free account

Interview format: Market Maker, Numerical Reasoning Tests

Cats and mice

Answer

Related questions