Random Puzzles 

Workings

Hint

Answer
Zero.

Workings

Hint
How old was the person in second place?

Answer
# Name    Age
1 Drew    30
2 Emery   24
3 Glen    27
4 Alex    32

Reasoning
By (2), because Glen was three years older, the person in 2^nd place was either 24 or 27.

But 2^nd place can't have been 27, because, by (4), Emery was ahead, but didn't win.

So 2^nd place was 24, and Glen was 27.

By (3), Drew could only be 27 or 30, but we now know what Glen was 27, so Drew was 30.

By (1), the person who came last was 32:
1
2         24
3
4         32

By (4), the 27-year-old can't have won,
1 Drew    30
2         24
3 Glen    27
4         32

By (4), Emery beat the 27-year-old:
1 Drew    30
2 Emery   24
3 Glen    27
4         32

Leaving Alex in last place.
1 Drew    30
2 Emery   24
3 Glen    27
4 Alex    32

Workings

Hint
The first letters of the words are: E, S, P, C, I, A, P, A.

Answers
-----yee = employee -----egy = strategy -----igm = paradigm -----lse = convulse -----com = intercom -----bet = alphabet -----lel = parallel -----dee = attendee

Workings

Hint
One inch = 25.4mm.

Answer
Millimetres in a mile.

Reasoning
One inch = 25.4mm.

So:

1 mile = 1760 yards = 1760 x 3 feet = 1760 x 3 x 12 inches = 1760 x 3 x 12 x 25.4 millimetres = 1,609,344mm in 1 mile.

And:

2 kilometres = 2000 metres = 2000 x 100 centimetre = 2000 x 100 x 10 millimetres = 2000 x 100 x 10 ÷ 25.4 inches = 2000 x 100 x 10 ÷ 25.4 x 16 = sixteenths of an inch ≈ 1,259,843 sixteenths of an inch in 2 kilometres.