Random Puzzles 

Workings

Hint
The first letters of the words are: L, C, E, E, A, A, L, S, F, G, S, A, C, C, M.

Answers
---rnt = learnt ---few = curfew ---ryo = embryo ---yme = enzyme ---rak = anorak ---urd = absurd ---ynx = larynx ---mpi = scampi ---hom = fathom ---ovy = groovy ---lpt = sculpt ---hma = asthma ---voy = convoy ---web = cobweb ---mur = murmur

Workings

Hint
Look at the vowels (AEIOU).

Answer
7.00pm.

Each vowel (AEIOU) of the country is worth 2 hours, and each consonant is worth 3 hours.

The time shown is the number of hours past midnight of the return trip.

Workings

Hint
One of the words begins with the letter S.

Answers
-s-g- = usage --r-f = serif -zu-- = azure e--x- = epoxy -p--c = optic --ln- = kilns -w--m = swarm ---jo = banjo q---a = quota -v-k- = evoke i--h- = itchy -b-y- = obeys --dt- = width

Workings

Hint
There are fewer than 1,000 apples.

Answer
946 apples.

Reasoning
We know that (answer − 1) is divisible by 3, 5, 7, and 9.

If it's divisible by 9 then it's automatically divisible by 3.

So the number must be a multiple of 5, 7, and 9.

   [5 x 7 x 9 = 315]

Since these numbers share no other common factors, we know that the answer must be a multiple of 315 (+ 1).

Let's try 1 x 315 + 1: 316 ÷ 11 = 28.73, and this doesn't work.

Let's try 2 x 315 + 1: 631 ÷ 11 = 57.36, and this doesn't work.

Let's try 3 x 315 + 1: 946 ÷ 11 = 86, and this works, and is the answer.