Brain Teasers and 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 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
Sam didn't come first in either game.

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

Workings

Hint
A little algebra might help.

Answer
Width=40, height=20, depth=18.

If we call the height H, the width W and the depth D we have:
   H x W = 800

(1) so H = 800 ÷ W

   W x D = 720

(2) so W = 720 ÷ D

   H x D = 360

(3) so H = 360 ÷ D

Using (1) and (3) we have:

   800   360
   ——— = ———
    W     D

   800 x D = 360 x W

Using (2):

   800 x D = 360 x 720
                   ———
                    D

   800 x D² = 259,200

   D² = 324

   D = 18

Using (2), W = 40.

Using (1), H = 20.

Workings

Hint
Add one Z – literally.

Answer
Lozenge.

one Z + LEG = ONE Z LEG = ONEZLEG > LOZENGE.