Random Puzzles 

Workings

Hint
Start by looking (2).

Answer
Ashley crossed first.

They crossed in the following order (first is on the right):

Alex, Sam, Quinn, Riley, Chris, Billie, Logan, Taylor, Emery, Jessie, Ray, Ashley.

Reasoning
Starting with (2), we can place Ray, Emery, Logan, and Riley as follows:

   Riley, -, -, Logan, -, Emery, -, Ray, -

(6) tells us that Taylor got on just after Emery, giving us:

   Riley, -, -, Logan, Taylor, Emery, -, Ray, -

(5) tells us that Jessie got on two people before Taylor, giving us:

   Riley, -, -, Logan, Taylor, Emery, Jessie, Ray, -

By (1), Chris got on two people after Logan, giving us:

   Riley, Chris, -, Logan, Taylor, Emery, Jessie, Ray, -

And (1) also tells us about Sam, giving:

   Sam, -, Riley, Chris, -, Logan, Taylor, Emery, Jessie, Ray, -

We now have a line of 11 people, the missing person is either in front of Ray, or behind Sam.

The only way to place Alex, Quinn, and Billie using (3) and (4) is if the missing person is behind Sam giving:

   -, Sam, -, Riley, Chris, -, Logan, Taylor, Emery, Jessie, Ray, -

And therefore we can now place Alex, Quinn, and Billie as follows:

   Alex, Sam, Quinn, Riley, Chris, Billie, Logan, Taylor, Emery, Jessie, Ray, -

But who crossed first?

The only person we've not yet found a space for is Ashley. So Ashley crossed first.

   Alex, Sam, Quinn, Riley, Chris, Billie, Logan, Taylor, Emery, Jessie, Ray, Ashley.

Workings

Hint
In order for the clocks to show the same time (e.g. 2 o'clock), what must the total time gained by one, and lost by the other, total?

Answers
Midnight, 10 days later, when they will both show 4 o'clock.
Midnight, 30 days later, when they will both show 12 o'clock.
Reasoning #1
In order for the clocks to show the same time, the total time gained by one, and lost by the other, must be 12 hours.

For example, if the first clock were to show 2 o'clock, it would have gained 2 hours. In order for the second clock to also show 2 o'clock, it would have had to have lost 10 hours. This is a total of 12 hours gained and lost.

We know that for every hour that passes, the first clock gains one minute, and the second clock loses 2 minutes, for a total time gained and lost of 1 + 2 = 3 minutes.

The total time gained and lost will equal 12 hours when 12 x 60 ÷ 3 = 240 hours have passed. 240 hours = 10 days.

The first clock will have gained 240 x 1 minutes = 240 minutes = 4 hours.

The second clock will have lost 240 x 2 minutes = 480 minutes = 8 hours.

So, they will both show 4 o'clock, 10 days later.

Reasoning #2
In the first answer, we can see that 10 days later, the clocks both show 4 o'clock.

If we move forward another 10 days, both clocks would show 8 o'clock.

If we move forward another 10 days, both clocks would show 12 o'clock.

This will now be the correct time.

So, they will both show 12 o'clock, 30 days later.

Workings

Hint
The clue is in the question.

Answer
B.

Reasoning
These are the initial letters of the puzzle itself:
   This
   is
   a
   very
   special
   sequence
   and
   is
   complete
 * but
   what
   is
   the
   missing
   letter

Therefore, B is missing.

Workings

Hints
The first letters of the words are: R, C, G, C, L, H, E, B, L.

Answers
18 8 9 14 15          = rhino 3 18 15 3 15 4 9 12 5 = crocodile 7 9 18 1 6 6 5        = giraffe 3 8 5 5 20 1 8        = cheetah 12 5 15 16 1 18 4     = leopard 8 9 16 16 15          = hippo 5 12 5 16 8 1 14 20   = elephant 2 21 6 6 1 12 15      = buffalo 12 9 15 14            = lion