Medium 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 = 43.9696761...

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
Where did Reed come in game 1?

Answer
Name     #1  #2
Kelly     1   2
Reed      2   1
Jamie     3   4
Sam       4   3

Reasoning
In Game1, (Clue1) Reed beat Jamie, and (Clue3) Jamie beat Sam.

   Game1: Reed, Jamie, Sam

Since (Clue3) Reed won Game2 , and (Clue4) no player got the same placing twice, Reed can't have won Game1, therefore Kelly did.

   Game1: Kelly, Reed, Jamie, Sam

In Game2:
   Reed won (Clue3).
   Sam can't have come last again (Clue4).
   Since Kelly beat Sam (Clue1), Sam can only have come third.

   Game2: Reed, Kelly, Sam, Jamie

Workings

Hint
The of words are all fruits.

Answer
Banana, apple, pear, and mango.

Workings

Hint
How can the answer end in 9?

Answer
4,217 x 5,237 = 22,084,429.

Reasoning
The only way the answer can end in 9 is if the two numbers both end in 7 (7 x 7 = 49).

The only way we can reach 22 million is if the two numbers begin with 4 and 5 respectively.

This leaves each number with just 2 options, and the answer is quickly found.