Reasoning There are 62 squares of size 1 x 1. There are 41 squares of size 2 x 2. There are 18 squares of size 3 x 3. There are 6 squares of size 4 x 4. There is 1 square of size 5 x 5.
Giving a total of 62 + 41 + 18 + 6 + 1 = 128 squares.
Four clowns were getting ready for the evening's performance. From the clothes trunk, each clown had to get their socks and shoes.
There was one pair of shoes in each colour, and one pair of socks in each colour.
Can you tell who had which colour socks and which colour shoes?
The red socks went with the blue shoes. Baba had yellow shoes, but not yellow socks. The clown with green shoes did not have blue socks. Boba had neither red shoes nor red socks. Bilpo's shoes were the same colour as Babil's socks. The clown with red shoes had green socks.
Hint
Try matching the sock colours to the shoe colours first.
Answer
Baba
Blue socks and Yellow shoes.
Boba
Yellow socks and Green shoes.
Bilpo
Green socks and Red shoes.
Babil
Red socks and Blue shoes.
Reasoning
We had these colours: Red, Blue, Yellow, Green.
We had these clowns: Baba, Boba, Bilpo, Babil.
Let's match sock colours to shoe colours.
By (1) Red socks went with Blue shoes.
By (6) Green socks went with Red shoes.
By (3) Yellows socks must have gone with Green shoes.
Therefore, Blue socks went with Yellow shoes, which is confirmed with (2).
In summary: Socks : Shoes
Red : Blue
Green : Red
Yellow : Green
Blue : Yellow
By (2) Baba had Blue socks and Yellow shoes.
By (4) Boba didn't have Red socks or Red shoes (and Baba had the Blue socks), so must have had Yellow socks and Green shoes.
By (5) Bilpo's shoes were the same colour as Babil's socks. So, we only have Red & Green socks left, and Blue & Red shoes. Therefore, Babil's socks can only have been Red (with Blue shoes).
Leaving Bilpo with Green socks and Red shoes.
Double-Checking
1. The red socks went with the blue shoes [Babil].
2. Baba had yellow shoes but not yellow socks [had Blue].
3. The clown with green shoes did not have blue socks [had Yellow].
4. Boba had neither red shoes nor red socks [had Green shoes and Yellow socks].
5. Bilpo's shoes were the same colour as Babil's socks [Red].
6. The clown with red shoes had green socks [Bilpo].
The recent BrainBashers annual marathon has just taken place.
The judges have given up keeping track of who won, as the results go missing every year.
Using the following spectators' notes, can you determine who finished where?
Terry Tipton finished after Lake Linkerton and Alex Adams but before Mason Miller. Pat Peterson finished before Dale Dartford and Lake Linkerton. Ryan Richards finished after Pat Peterson and before Jesse Jacks and Harper Hall. Kelly Kirkpatrick finished after Pat Peterson, Mason Miller, and Terry Tipton. Lake Linkerton finished after Alex Adams and Dale Dartford but before Jesse Jacks and Mason Miller. Mason Miller finished after Ryan Richards and Alex Adams. Alex Adams finished before Jesse Jacks, Mason Miller, and Pat Peterson. Dale Dartford finished before Kelly Kirkpatrick and Terry Tipton but after Ryan Richards. Jesse Jacks finished before Kelly Kirkpatrick, Terry Tipton, and Mason Miller, but after Pat Peterson and Dale Dartford. Harper Hall finished before Mason Miller but after Lake Linkerton, Jesse Jacks, and Terry Tipton.
Answer
Alex Adams
Pat Peterson
Ryan Richards
Dale Dartford
Lake Linkerton
Jesse Jacks
Terry Tipton
Harper Hall
Mason Miller
Kelly Kirkpatrick
Reasoning
If we number the clues, write each name using two letters, and rewrite the clues so that those who finished ahead are written first:
LL and AA beat TTTT beat MMPP beat DD and LLPP beat RRRR beat JJ and HHPP, MM and TT all beat KKAA and DD beat LLLL beat JJ and MMRR and AA beat MMAA beat JJ, MM and PPDD beat KK and TTRR beat DDJJ beat KK, TT, MMPP and DD beat JJHH beat MMLL, JJ and TT all beat HH
By (10): AA PP
By (4): AA PP RR
By (12): AA PP RR DD
By (7): AA PP RR DD LL
By (8): AA PP RR DD LL JJ
By (13): AA PP RR DD LL JJ TT
By (16): AA PP RR DD LL JJ TT HH
By (15): AA PP RR DD LL JJ TT HH MM
By (6): AA PP RR DD LL JJ TT HH MM KK
