Random Puzzles 

Workings

Hint
Try working backwards.

Answer
15.

Reasoning
One quarter of 360 is 90.

One third of 90 is 30.

One half of 30 is 15.

Workings

Hint
There are three feet in a yard, and 1,760 yards in a mile.

Answer
Seconds in a week.

Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.

There are 3 x 1760 x 100 = 528,000 feet in 100 miles.

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
The first word begins with the letter F.

Answer
-e-er      = fever      (FV) --eue      = queue      (QU) --o        = zoo        (ZO) ma-        = mat        (T) -p-a-e-    = speaker    (SEKR) -erso-     = person     (PN) ---k-am-on = backgammon (BACGM) -ouse      = house      (H) -a-        = wax        (WX) -ur-       = jury       (JY) ---igent   = diligent   (DIL)
This puzzle isn't guaranteed to have a unique answer, can you find another?