Puzzle ZOCW 

Workings

Hint
There are fewer than 1,000 apples.

Answer
946 apples.

Reasoning
We know that (answer – 1) is divisible by 3, 5, 7, and 9.

If it's divisible by 9 then it's automatically divisible by 3.

So the number must be a multiple of 5, 7, and 9.

   [5 x 7 x 9 = 315]

Since these numbers share no other common factors, we know that the answer must be a multiple of 315 (+1).

Let's try 1 x 315 + 1: 316 ÷ 11 = 28.73 – this doesn't work.

Let's try 2 x 315 + 1: 631 ÷ 11 = 57.36 – this doesn't work.

Let's try 3 x 315 + 1: 946 ÷ 11 = 86 – this works and is the answer.