Random Puzzles 

Workings

Hint
Find out who used to be the teacher first.

Answer
Billie  Baker     –    plumber   + carpenter
Eddie   Teacher   –    carpenter + plumber
Charlie Carpenter –    baker     + teacher
Davie   Plumber   –    teacher   + baker

The previous occupation is followed by the current.

Reasoning
The four forenames are: Billie, Charlie, Davie, Eddie.
The four surnames are: Baker, Teacher, Carpenter, Plumber
The four occupations are: baker, teacher, carpenter, plumber.

By (3), we have Billie Baker:
Billie  Baker     –    ?         + ?
        Teacher   –    ?         + ?
        Carpenter –    ?         + ?
        Plumber   –    ?         + ?

By (2), Mr Teacher is currently a plumber:
Billie  Baker     –    ?         + ?
        Teacher   –    ?         + plumber
        Carpenter –    ?         + ?
        Plumber   –    ?         + ?

By (3) Mr Baker was not previously a teacher. By (4), neither was Mr Carpenter. And by (1) Mr Teacher can't have been either. Therefore, Mr Plumber used to be a teacher, and is called Davie:
Billie  Baker     –    ?         + ?
        Teacher   –    ?         + plumber
        Carpenter –    ?         + ?
Davie   Plumber   –    teacher   + ?

By (3), Mr Baker has never been a teacher, and by (1), Mr Plumber can't currently be a teacher either. Also, by (1), neither can Mr Teacher. Therefore, Mr Carpenter must currently be a teacher:
Billie  Baker     –    ?         + ?
        Teacher   –    ?         + plumber
        Carpenter –    ?         + teacher
Davie   Plumber   –    teacher   + ?

By (1), Mr Baker can't be a baker, so only Mr Plumber can currently be a baker. Leaving Mr Baker as a carpenter currently:
Billie  Baker     –    ?         + carpenter
        Teacher   –    ?         + plumber
        Carpenter –    ?         + teacher
Davie   Plumber   –    teacher   + baker

By (1), only Mr Teacher could have previously been a carpenter:
Billie  Baker     –    ?         + carpenter
        Teacher   –    carpenter + plumber
        Carpenter –    ?         + teacher
Davie   Plumber   –    teacher   + baker

By (2), Charlie must be Mr Carpenter:
Billie  Baker     –    ?         + carpenter
        Teacher   –    carpenter + plumber
Charlie Carpenter –    ?         + teacher
Davie   Plumber   –    teacher   + baker

By (1), we now know all of the occupations, and Eddie must be Mr Teacher:
Billie  Baker     –    plumber   + carpenter
Eddie   Teacher   –    carpenter + plumber
Charlie Carpenter –    baker     + teacher
Davie   Plumber   –    teacher   + baker

Workings

Hint
The number of adults and children doesn't matter.

Answer
3,672.

Reasoning
The actual number of adults and children doesn't actually matter.

If all of the people were adults, then half of them (306) would be given 12 sweets:

  306 x 12 = 3672

If all of the people were children, then three quarters of them (459) would be given 8 sweets:

  459 x  8 = 3672

If there were 512 adults (so 256 would get 12 sweets = 3072) and 100 children (so 75 would get 8 sweets = 600):

  256 x 12 + 75 x 8 = 3672

We can change the numbers of adults and children, but it doesn't change the answer.

The reason for this lies in the fact that ¹/₂ adults x 12 sweets = ³/₄ children x 8 sweets (both are 6).

Workings

Hint
28,121 isn't a prime number.

Answer
61 bags.

Reasoning
Each bag contains 461 carrots.

How do we find the correct answer? An easy way is to keep dividing 28,121 by the prime numbers in sequence until one works.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61.

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.