Brain Teasers
A Square
Some students are standing in a square. Counting from any of the eight directions, Victor is the fifth. How many students are there?
Hint
It is not 100.Answer
Since Victor is the fifth counting from any direction, there are 5+5-1=9 students on each row and each column, and there are 9*9=81 students.The students stand like this, V is where Victor stands:
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S V S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
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Comments
That took me only a second to figure that one out.
i didnt think hard enough
Yes, it was easy, but it was fun too. Great teaser!
Ambiguity much?
(the question not the answer)
Was confused - pictured a group of students standing in a square, with space in the middle (i.e. if you ask students to stand in a circle, I wouldn't expect a 'filled' circle)...
Was good after seeing the answer!
Was good after seeing the answer!
Nov 11, 2007
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S V S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
Couldn't it also be 33?
S S S
S S S
S S S
S S S
SSSSVSSSS
SSS
S S S
S S S
S S S
S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S V S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
S S S S S S S S S
Couldn't it also be 33?
S S S
S S S
S S S
S S S
SSSSVSSSS
SSS
S S S
S S S
S S S
S S S
Actually it could be any number 33 or greater.
You just need to make sure there are four lines of nine students along the two axis and two diagonals with Victor at the intersection of the four lines. This gives 4 x 8 + 1 = 33. There can be any number of additional students not on one of those lines.
You just need to make sure there are four lines of nine students along the two axis and two diagonals with Victor at the intersection of the four lines. This gives 4 x 8 + 1 = 33. There can be any number of additional students not on one of those lines.
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