Medium Puzzles 

Workings

Hint
Start by finding out who the oldest is.

Answer
# Name    Age
#1 Drew    youngest
#2 Billie  next to youngest
#3 Alex    next to oldest
#4 Hayden  oldest

Reasoning
By (2), neither Alex nor Drew were the oldest. By (5), neither was Billie. Therefore, Hayden was the oldest, and by (1) came fourth.
   #1
   #2
   #3
   #4 Hayden  oldest

By (4) the youngest didn't come third, and by (3) the youngest didn't come second. Therefore, the youngest came first.
   #1         youngest
   #2
   #3
   #4 Hayden  oldest

By (3), the next to youngest came second, leaving the next to oldest in third.
   #1         youngest
   #2         next to youngest
   #3         next to oldest
   #4 Hayden  oldest

By (2), Drew wasn't second, but Alex was older, so Drew can't be third either. Therefore, Drew can only have come in first.
   #1 Drew    youngest
   #2         next to youngest
   #3         next to oldest
   #4 Hayden  oldest

By (5) Billie didn't come third, so came second. Leaving Alex in third.
   #1 Drew    youngest
   #2 Billie  next to youngest
   #3 Alex    next to oldest
   #4 Hayden  oldest

Workings

Hint
The first letters of the words are: f, h, a, b, c, r, p, k, z, b.

Answers
fox horse antelope buffalo camel reindeer panther koala zebra badger

Workings

Hint
The first letters of the words are: c, a, c, b, l, l, p, s, c.

Answers
coagulate = catalogue cavitates = activates bacterial = calibrate balancers = barnacles headlamps = lampshade milestone = lemoniest or limestone telephony = polythene dignifies = signified unnoticed = continued

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.