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Workings

Hint
The words are all vegetables.

Answers
cbbg   = cabbage clflwr = cauliflower ccmbr  = cucumber crgtt  = courgette crrt   = carrot clrc   = celeriac

Workings

Hint
There are more than 37, look at the different sizes.

Answer
There are 64 hexagon-type shapes in total.

Reasoning
37 single hexagons
 + 19 hexagons that contain 7 smaller hexagons
 + 7 hexagons that contain 19 smaller hexagons
 + 1 large hexagon that contains all of the smaller hexagons.

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, and this doesn't work.

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

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

Workings

Hint
Try reversing the numbers.

Answer
891.

If we reverse each of the numbers we get:

   203 · 202 · 201 · 200 · 199 · ?

Which is counting down from 203, and the next number is 198, which is 891 when reversed.