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Workings

Hint
Take a close look at Emery's statements.

Answer
Drew.

Reasoning
Since each suspect told the truth just once, Emery's statements mean that it was either Drew or Alex.

If it was Alex, then both of Billie's statements would be true, which isn't allowed (and similarly both of Drew's would be false).

Therefore, it was Drew.

This can be double-checked with all of the other statements.

Workings

Hint
What is the difference between each number?

Answer
14.

Add 3 to the previous term.

Workings

Hint
Look for anagrams.

Answer
ceffio.

This is an anagram of office.

The others are animals:
   dgo     = dog
   act     = cat
   ehors   = horse
   ceffio  = office
   elrttu  = turtle
   ekmnoy  = monkey

Workings

Hint
In the first box, look at 7 & 3, and 4 & 1, to see how we can use them to make 12.

Answer
4.

Reasoning
For each row, the left minus the right gives a number.

The numbers for the rows are then multiplied together.

In the first box:

   7 – 3 = 4
   4 – 1 = 3

so 4 x 3 = 12

In the second box:

   9 – 2 = 7
   8 – 3 = 5

so 7 x 5 = 35

In the last box:

   6 – 2 = 4
   8 – 7 = 1

so 4 x 1 = 4.