Random Puzzles 

Workings

Hint
Try working backwards.

Answer
148.

Reasoning
A number that is divisible by 3 has digits that add up to a number that is also divisible by 3 (for example, 123 is divisible by 3).

So we can look for the first number where 4 + 4 + 4 + 4 + 4 + … is divisible by 3, which is 4 + 4 + 4, and 444 ÷ 3 = 148.

Alternative Reasoning
Let's try the possible answers in order:

  4 ÷ 3 = 1.3333
 44 ÷ 3 = 14.6666
444 ÷ 3 = 148

Double-Checking
148 x 3 = 444.

Workings

Hint
The word begins with the letter S.

Answer
SWIMS.

Workings

Hint
Look at a keyboard?

Answer
8 F 7.

This is the sequence F7, F8, F9, F10, F11, F12, written backwards.

Often seen on a computer keyboard.

21F 11F 01F 9F 8F 7F

Workings

Hint
There are lots of vowels.

Answer
A.

This is the vowels AEIOU intermingled with the reverse UOIEA.