Random Puzzles 

Workings

Hint
Look at the first letters of the words.

Answer
Alphabet.

The first letters of the words are spelling BrainBashers.

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 simple substitution cipher.

Answer
50.

This puzzle is a simple test to see how easy a ROT13 part encrypted puzzle can be. Every other letter has been converted to ROT13 and the other letters are left as they were. But, you may ask, what is the puzzle? Well, how many words are in this puzzle!

ROT13 replaces each character with the one 13 places away.
A = N, B = O, C = P, D = Q, E = R, F = S, G = T, H = U, I = V, J = W, K = X, L = Y, M = Z, N = A, O = B, P = C, Q = D, R = E, S = F, T = G, U = H, V = I, W = J, X = K, Y = L, Z = M.

Workings

Hint
There are two sequences merged.

Answer
10.

Reasoning
There are two sequences mixed together.

0 1 2 3 4 5

and

0 2 4 6 8 ?