At last month's rehearsal, four top athletes competed in two qualifying 400 metre races.
As the results were expected to be mislaid, various notes were taken to ensure the accuracy of the overall placings:
No-one finished both races in the same position.
In both races Sam beat the runner whose surname was Donald.
Blake Curtail came third in the second race and Pat came last in the first race.
In the second race the athlete whose surname was Arnold won, and the athlete whose surname was Bowler came last.
In the first race, Blake beat Jamie, but Jamie beat Sam.
Can you determine who finished where in each of the races?
During the recent BrainBashers school sports day, four girls were competing in the 400 metres hurdles. Official figures mysteriously went missing just after the event, however, various spectators could remember the following information. Josie was never suspected though!
1. Jane won and wore red.
2. The girl wearing number 1 came third.
3. Julie beat the girl in yellow, but wasn't wearing number 2.
4. Only one girl finished in the same position as the number she wore, but she didn't wear red.
5. Jackie beat the girl wearing number 3 and Josie wore yellow.
6. The girl in green wore number 2.
7. A spectator remembered one girl wore blue, but couldn't remember anything else about her.
Can you determine the positions the girls finished in, along with the numbers and colours they wore?
# Name Wore Colour
1 Jane 4 red
2 Jackie 2 green
3 Julie 1 blue
4 Josie 3 yellow
Julie wasn't wearing 2 (clue 3) so wasn't wearing green (clue 6), Jane was wearing red (clue 1) and Josie wore yellow (clue 5), hence Julie wore blue, leaving Jackie wearing green wearing 2 (clue 6). As Jackie wore 2, she didn't come 3rd (clue 2), and Jane came first (clue 1), which means that Jackie must have come 2nd in order to beat the girl wearing 3 (clue 5). We now know Jane won and Jackie was 2nd, therefore Julie must have come 3rd in order to beat the girl in yellow (clue 3), leaving Josie in last place. As Jackie came second and she beat the girl wearing 3 (clue 5), the girl wearing 3 must have come 4th (therefore Josie) as the girl wearing 1 came 3rd (clue 2). Julie (who is 3rd) wore 1 (clue 2), leaving Jane wearing 4.