During the recent BrainBashers school sports day, four students were competing in the 400 metres hurdles.
Official figures mysteriously went missing just after the event, however, various spectators could remember the following information.
Alex won and wore red. The student wearing number 1 came third. Billie beat the student in yellow, but wasn't wearing number 2. Only one student finished in the same position as the number they wore, but they didn't wear red. Emery beat the student wearing number 3, and Glen wore yellow. The student in green wore number 2. A spectator remembered that one student wore blue, but couldn't remember anything else about them.
Can you determine the positions the students finished in, along with the numbers and colours they wore?
Answer # Name Wore Colour
1 Alex 4 Red
2 Emery 2 Green
3 Billie 1 Blue
4 Glen 3 Yellow
Reasoning
(Clue 1) Alex won and wore Red. (Clue 5) Glen wore Yellow. (Clue 3) Billie wasn't wearing number 2, and (Clue 6) number 2 wore Green, so must be Emery. Leaving Billie in Blue. # Name Wore Colour
1 Alex Red
? Glen Yellow
? Emery 2 Green
? Billie Blue
(Clue 2) Emery didn't come 3rd, and Alex won, so (Clue 5) Emery can't have come last, so must have come 2nd. # Name Wore Colour
1 Alex Red
2 Emery 2 Green
? Glen Yellow
? Billie Blue
(Clue 3) Billie can't have been last, so came 3rd and (Clue 2) wore 1, leaving Glen in last place. # Name Wore Colour
1 Alex Red
2 Emery 2 Green
3 Billie 1 Blue
4 Glen Yellow
(Clue 5) Emery beat the student wearing 3, so Glen must have worn 3. Leaving Alex wearing 4. # Name Wore Colour
1 Alex 4 Red
2 Emery 2 Green
3 Billie 1 Blue
4 Glen 3 Yellow
??
Puzzle 198
Below, 10 nine-letter words have been broken into chunks of three letters.
These chunks have been mixed up, no chunk is used twice, and all of the chunks are used.
Can you determine the 10 original words?
rbr tim sag tel lig ent
hea dli ble whi htn fer
car age esc ing ind wat
til hai ush dif eta new
rlw all erf ope ent ght
Hints
The first letters of the words are: T, T, H, D, W, L, H, W, C, N.
Answers
tel + esc + ope = telescope
tim + eta + ble = timetable
hai + rbr + ush = hairbrush
dif + fer + ent = different
wat + erf + all = waterfall
lig + htn + ing = lightning
hea + dli + ght = headlight
whi + rlw + ind = whirlwind
car + til + age = cartilage
new + sag + ent = newsagent
?
Puzzle 199
If I buy a melon and a coconut, the cost will be £1.19.
If I buy a melon and a pineapple, the cost will be £1.45.
If I buy a coconut and a pineapple, the cost will be £1.40.
Freddie was in love with three girls. He couldn't decide who he wanted to give his heart to, so he sent all three a Valentine's card. But poor Freddie was out of luck, as each girl thought the card came from someone else and Freddie was left on the sideline.
From the clues below, can you work out the name of each potential sweetheart, the colour of each card Freddie sent and the name of the boy each girl believed the card was sent by?
Unluckily for Freddie, when Miss Jetson received her card, she thought it was from Adam. When Molly received her blue coloured card, she told Miss Hanson, and together they worked out who the card was from. It didn't occur to either of them that it was from Freddie! The girl who received the red card was convinced it came from Ethan. Neither Millie nor Miss Motson received a pink card.
First Names: Lily, Millie, Molly
Surnames : Hanson, Jetson, Motson
Colours : Blue, pink, red
Boys : Adam, Dylan, Ethan
Hint
Start by using (2) and (4) to find who received the pink card.
Answer
Lily Jetson Pink Adam
Millie Hanson Red Ethan
Molly Motson Blue Dylan
Reasoning
By (2), Molly received the Blue card:
Lily
Millie
Molly Blue
We now know that Molly didn't receive the Pink card, and by (4), neither did Millie, which means that Lily received the Pink card (and Millie received the Red):
Lily Pink
Millie Red
Molly Blue
By (4), the two girls who didn't receive the Pink card are Millie and Miss Motson, and we already know that Millie and Molly didn't receive the Pink Card, which means that Molly is Miss Motson.
Lily Pink
Millie Red
Molly Motson Blue
By (3), the Red card was thought to have come from Ethan:
Lily Pink
Millie Red Ethan
Molly Motson Blue
By (1), Miss Jetson's card was thought to have come from Adam, this can't be Molly (Motson), nor Millie (Ethan). So it must be Lily Jetson:
Lily Jetson Pink Adam
Millie Red Ethan
Molly Motson Blue
The puzzle can now be completed:
Lily Jetson Pink Adam
Millie Hanson Red Ethan
Molly Motson Blue Dylan
