Random Puzzles 

Workings

Hint
Try starting with the cube root of the number.

Answer
42, 44, and 46.

Reasoning
As we require 3 numbers that are multiplied together, we can start with the cube root of 85,008 ≈ 43.97.

We can now check that 44 divides 85,008 exactly: 85,008 ÷ 44 = 1,932, which means that 44 is likely to be one of the numbers.

And as we know that we need consecutive even numbers, we soon find 42 and 46 as the remaining numbers.

Double-Checking
42 x 44 x 46 = 85,008.

Workings

Hint
There are 16 ounces in a pound, and 144 in a gross.

Answer
Seconds in an hour.

Reasoning
There are 16 x 144 = 2,304 ounces in gross pounds.

There are 60 x 60 = 3,600 seconds in an hour.

Workings

Hint
There are over 20 mistakes.

Answer
21.

Reasoning
Many years ago, before modern education in the new millennium, one problem in schools was basic spelling and grammar. To combat this and raise achievement, teachers were advised to start at the very beginning, at the youngest age. Once they had managed to breathe new life into lessons, progress came quickly, success was then guaranteed. How many spelling errors would modern scholars identify in this passage?

Workings

Hint
The country spans more than one word.

Answer
Malta.

Welsh horses are my favourite aniMAL. TApir, llama, marmoset, and elephant closely follow. I don't care much for English rabbits nor ocelots, adders, goldfish, and spaniels.