You can place any number of robot ants on a long rod and set each of them to move left or right starting at time $0$. You can set any positive speed for each ant. When 2 or more ants meet, they turn around. When an ant reaches the end it falls off.
Can you place and set the ants in such a way tha...
A five digit number is multiplied by 9, the resulting number is palindrome of the given number. What is the five digit number? This question was asked in KVPY 2020, SA.
Honeycomb puzzle with hexagons
Can you place the numbers 1 through 9 in the honeycomb so that the sum of the numbers in the adjacent hexagons is a multiple of the number in the hexagons? This must be true in all hexagons.
The top green hexagon is a 3.
I've made several attempts but can't figure ...
The 16 prompts below may be separated into 4 groups.
Additionally, there is a word absent from the wall which can be placed in all four of those groups.
#F0F8FF
(240, 100%, 50%)
(255, 215, 0)
Aqua
(255, 255, 240)
Lime
#000000
(0, 100%, 25%)
(39, 85%, 95%)
(230, 230, 250)
Orchid
#F...
The answer to this puzzle is a two-word phrase.
Note: It's not super precise, but with the help of the title and spotting some pattern, it should be solvable. Good luck!
< v< > ^> ^> ^> v v >
> v< ^< ^< ^< v ^> ^> ^
^ v< ^< v< > < v> ^> <
< v< v> v< v> v> v> ^> ^
^
My beginning is the end of the start of the close
My midpoint is the end of the start of the beginning
My end is the start of the close of the midpoint
What accessible word am I?
36 tourist attractions in one city are located in a 6×6 square, as shown in the drawing:
A guide must guide a group of tourists through all the 36 attractions, passing through each attraction exactly once.
The group can move only on the streets of the city, and they are in horizontally and verti...
You, are the owner of a port in Viking Norway. Your job is to count how many Norsemen there are sleeping in their ships at 5 o’clock, so you can provide horn polishing material for them. The Danes have all their war horns and drinking horns polished already.
Each horn needs 2g of polish to clean ...
A five digit number is multiplied by 9, the resulting number is palindrome of the given number. What is the five digit number? This question was asked in KVPY 2020, SA.
The 16 prompts below may be separated into 4 groups.
Additionally, there is a word absent from the wall which can be placed in all four of those groups.
#F0F8FF
(240, 100%, 50%)
(255, 215, 0)
Aqua
(255, 255, 240)
Lime
#000000
(0, 100%, 25%)
(39, 85%, 95%)
(230, 230, 250)
Orchid
#F...
My beginning is the end of the start of the close
My midpoint is the end of the start of the beginning
My end is the start of the close of the midpoint
What accessible word am I?
Please explain each line!
Turn me right and I was nearly frozen,
Turn me left and I'm open,
Back before the revolution,
I used to be my reflection
