Random Puzzles 

Workings

Hint
Look at the first letters of the three words.

Answer
Giraffe.

The initial letters of the words spell FROG.

Workings

Hint
One of the colours is ORANGE.

Answers
Red, olive, orange, pink, corn, indigo, yellow, blue, brown, black, lime, green, pea, plum, violet.

Many inju[red] animals are invited t[o live] at the 'Toront[o Range]'. Sto[p in K]angaroo [Corn]er and marvel at the lovely creatures with[in. Dig o]ver the potato patch to find small furry caterpillars, but don't [yell! Ow]ls can be found swooping fo[r ed]ible nibbles, earwigs or perhaps [blue]bottles in the undergrowth. The [brown] bear, Ro[b, lack]s grace and can look like a sublime o[gre, en]ter at your own risk! [Pea]cocks can be found showing their colourful [plum]age, which looks fantastic when viewed with our ultra[violet] torch.

Workings

Hint
The first letters of the words are: C, S, P, B. One of the vegetables is another word for rutabaga.

Answer
Carrot, swede, pea, bean.

Swede is another word for rutabaga.

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.