Random Puzzles 

Workings

Hint
The bottom row starts with P.

Answer

Workings

Hint
Look at Digit 3 first.

Answer
6394.

Reasoning
Labelling the clues:

Digit 2 is smaller than Digit 4 Digit 4 is two thirds of Digit 1 Digit 1 is two thirds of Digit 3 Digit 3 is three times Digit 2
By (3), Digit 3 is divisible by 3:

   Digit 3 = 3, 6, 9

By (3), Digit 1 is two thirds of Digit 3:

   Digit 1 = 2, 4, 6.

But, by (2), Digit 1 is divisible by 3:

   Digit 1 = 6, and Digit 3 = 9.

By (4), Digit 3 is three times Digit 2:

   Digit 2 = 3.

By (2), Digit 4 is two thirds of Digit 1:

   Digit 4 = 4.

Workings

Hint
Look for the question.

Answer
N.

Reasoning
Starting with the first letter and taking every other letter gives: TO BE OR NOT TO BE TH

Starting with the second letter and taking every other letter gives: AT IS THE QUESTIO

Combining gives: TO BE OR NOT TO BE THAT IS THE QUESTIO, and the last letter of QUESTION is missing.

Workings

Hint
Make sure that you read the question carefully.

Answer
Kevin, since it was Kevin's mother and Kevin's brothers were Alpha and Beta.