Random Puzzles 

Workings

Hint
Does it start with January?

Answer
28.

The number of days in each month starting from October. The answer could also be 29 for a leap year.

The answer can't be 30, as the question specifically says that the answer is not 30, so it can't be the sequence starting with May.

Workings

Hint
Can Q1's answer be A?

Answers
1. D
2. C
3. B
4. A

Reasoning
The easiest way to solve this puzzle is to use Q1 to check the logic.

If Q1's answer was A, this tells us that Q2's answer is B, which tells us Q3's is D, which tells us Q4's answer is B, which tells us Q1's answer is C. A contradiction.

If Q1's answer was B, this tells us that Q2's answer is A, which tells us Q3's is C, which tells us Q4's answer is C, which tells us Q1's answer is A. A contradiction.

If Q1's answer was C, this tells us that Q2's answer is D, which tells us Q3's is A, which tells us Q4's answer is D, which tells us Q1's answer is B. A contradiction.

If Q1's answer was D, this tells us that Q2's answer is C, which tells us Q3's is B, which tells us Q4's answer is A, which tells us Q1's answer is D. Which is correct, and therefore the correct answer.

Workings

Hint
One possible answer begins with the letter A.

Answer
ark: bark, dark, market, parking, shark.

or:

ill: bill, dill, millet, pilling, shill.

Workings

Hint
The second word is CORD.

Answer
COLD, CORD, WORD, WARD, WARM

or

COLD, CORD, WORD, WORM, WARM

or

COLD, CORD, CARD, WARD, WARM.