Random Puzzles 

Workings

Hint
A little algebra might help.

Answer
Pineapple = 83p, coconut = 57p, melon = 62p.

Reasoning
If we assign the letters P, C and M to the fruits, and work in pence we have:

(1)   M + C = 119
(2)   M + P = 145
(3)   C + P = 140

Using (2) − (1) we have:

(4)   P − C = 26

And (3) + (4) gives:

         2P = 166
          P = 83

This can then be substituted back into (2) and (3).

Workings

Hint
What could we do with the digits?

Answer
If the sum of the digits is divisible by nine, so is the number.

Add up all of the digits in the number and see if the sum is divisible by 9. If you still can't tell, you can add those digits again to see if the new sum is divisible by 9. You can keep going until you the sum is obviously divisible by 9 or not.

For example, is 486451464 divisible by 9?

Do 4 + 8 + 6 + 4 + 5 + 1 + 4 + 6 + 4 = 42.

Is 42 divisible by 9? Not sure, you can then do:

4 + 2 = 6. Which clearly isn't divisible by 9. So our original number, 486451464, isn't either.

Workings

Hint
The first word begins with the letter M.

Answers
-ai-e = maize (MZ) s-ua- = squad (QD) -e-el = jewel (JW) -o-ed = foxed (FX) -na-e = knave (KV) fog-- = foggy (GY) c--mp = clump (LU) b--jo = banjo (AN) -r-it = orbit (OB) -re-t = crept (CP) -av-n = raven (RE) mu--c = music (SI) mou-- = mouth (TH)
Alternative Answers
Maize, squad, jewel, boxed, knave, foggy, clomp, banjo, fruit, crept, raven, music, mouth.

Can you find another?

Workings

Hint
deny + e = needy.

Answers
deny + e = needy mail + c = claim exit + s = exist gosh + t = ghost city + h = itchy newt + i = twine type + m = empty
The letters ECSTHIM are an anagram of CHEMIST.