Random Puzzles 

Workings

Hint
My first letter is E.

Answer
Envelope.

From pole, love, pen, and eel.

Workings

Hint
Try finding the cube root of 190,747.

Answer
53, 59, and 61.

Reasoning
Start by taking the cube root of 190,747, which is approximately 57.56.

The next highest prime number is 59:

   190,747 ÷ 59 = 3,233

Let's try the next prime number, which is 61:

     3,233 ÷ 61 = 53

53, 59, and 61, are all prime, and are consecutive, so this is the answer.

Double-Checking
   53 x 59 x 61 = 190,747

Workings

Hint
If Alex had committed the crime, how many lies would there be?

Answer
Chris committed the crime.

Reasoning
We know that exactly 4 lies were told.

If it was Alex, then 3 lies would have been told (by those who said it wasn't Alex).

If it was Billie, then 2 lies would have been told.

If it was Chris, then 4 lies would have been told.

If it was Drew, then 3 lies would have been told.

If it was Emery, then 3 lies would have been told.

If it was Frankie, then 3 lies would have been told.

Therefore, it can only have been Chris.

Double-Checking
Since it was Chris, there were 14 truths, and 4 lies, for a total of 18 clues.

Workings

Hint
This is a well known nursery rhyme.

Answer
AJCTA.

These are the initial letters from the nursery rhyme 'Jack and Jill went up the hill'. The letters represent 'and Jill came tumbling after'.