At last month's rehearsal, four top athletes competed in two 400-metre qualifiers.
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 Watson. Billie Taylor 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, Billie beat Jamie, but Jamie beat Sam.
Can you determine who finished where in each of the races?
Answer
Race1 Race2
————————————————————————
#1 Billie Sam
Taylor Arnold
————————————————————————
#2 Jamie Pat
Bowler Watson
————————————————————————
#3 Sam Billie
Arnold Taylor
————————————————————————
#4 Pat Jamie
Watson Bowler
Reasoning
The four names were: Billie, Jamie, Pat, Sam
The four contestants were: Arnold, Bowler, Taylor, Watson.
By (3), Billie Taylor came third in the second race, and Pat came last in the first race, giving:
Race1 Race2
————————————————————————
#1
————————————————————————
#2
————————————————————————
#3 Billie
Taylor
————————————————————————
#4 Pat
By (5), in the first race Billie beat Jamie, and Jamie beat Sam, giving:
Race1 Race2
————————————————————————
#1 Billie
Taylor
————————————————————————
#2 Jamie
————————————————————————
#3 Sam Billie
Taylor
————————————————————————
#4 Pat
By (2), Sam beat the runner with the surname Watson in the first race, which means that Pat's surname is Watson, giving:
Race1 Race2
————————————————————————
#1 Billie
Taylor
————————————————————————
#2 Jamie
————————————————————————
#3 Sam Billie
Taylor
————————————————————————
#4 Pat
Watson
By (1), Pat can't have also finished in last place in race 2, and by (2), Sam beat the Pat Watson, so Pat must have finished in second place in race 2. And Sam came first, therefore Jamie came last, giving:
Race1 Race2
————————————————————————
#1 Billie Sam
Taylor
————————————————————————
#2 Jamie Pat
Watson
————————————————————————
#3 Sam Billie
Taylor
————————————————————————
#4 Pat Jamie
Watson
By (4), in the second race the athlete whose surname was Arnold won, and the athlete whose surname was Bowler came last, so we know Sam and Jamie's surnames, and we can complete the grid:
Race1 Race2
————————————————————————
#1 Billie Sam
Taylor Arnold
————————————————————————
#2 Jamie Pat
Bowler Watson
————————————————————————
#3 Sam Billie
Arnold Taylor
————————————————————————
#4 Pat Jamie
Watson Bowler
?
Puzzle 59
Can you find every occurrence of the word LOVE that appears in this grid (horizontally, vertically, or diagonally)?
The hint will reveal the number of times it occurs, but where are they?
Note: this puzzle is not interactive, and the letters cannot be selected.
Can you find at least 10 different colours hidden in the following paragraph? Can you find all 15?
Many injured animals are invited to live at the 'Toronto Range'. Stop in Kangaroo Corner and marvel at the lovely creatures within. Dig over the potato patch to find small furry caterpillars, but don't yell! Owls can be found swooping for edible nibbles, earwigs, or perhaps bluebottles in the undergrowth. The brown bear, Rob, lacks grace and can look like a sublime ogre, enter at your own risk! Peacocks can be found showing their colourful plumage, which looks fantastic when viewed with our ultraviolet torch.
Many inju[red] animals are invited t[o live] at the 'Toront[o Range]'. Sto[p in K]angaroo [Corn]er and marvel at the lovely creatures with[in. Dig o]ver the potato patch to find small furry caterpillars, but don't [yell! Ow]ls can be found swooping fo[r ed]ible nibbles, earwigs or perhaps [blue]bottles in the undergrowth. The [brown] bear, Ro[b, lack]s grace and can look like a sublime o[gre, en]ter at your own risk! [Pea]cocks can be found showing their colourful [plum]age, which looks fantastic when viewed with our ultra[violet] torch.