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Workings

Hint
A fathom is 6 feet.

Answer
Hours in a month.

Reasoning
A fathom is 6 feet, which is 1.8288 metres.

So there are 1000 ÷ 1.8288 ≈ 546.8 fathoms in a kilometre.

The shortest month has 28 x 24 hours = 672.

So even the shortest month has more hours than there are fathoms in a kilometre.

Workings

Hint
The sequence is related to 1, 2, 3, 4.

Answer
20.

Each term's initial letter position in the alphabet:

1 = One = O = 15^th letter.
.
.
4 = Four = F = 6^th letter.
.
.
.
20 = Ten = T = 20^th letter.

Workings

Hint
A little algebra might help.

Answer
I have 14 apples, and you have 28 apples.

Reasoning
We can work this out with a little algebra. I have A apples, and you have B apples, then
[1]  5 x (A − 7) = B + 7

[2]        A + 7 = B − 7

From [1] we have:

    5A − 35 = B + 7
[3]      5A = B + 42

From [2] we have:

[4]  A + 14 = B

We can then use [4] in [3] to give:

  5A = (A + 14) + 42
  5A = A + 56
  4A = 56
   A = 14

Which gives B = 28 (by [4]).

Workings

Hint
Look at the first letters of the three words.

Answer
Giraffe.

The initial letters of the words spell FROG.