Latest Maths Olympiad Aptitude Question SOLUTION: Consider an n × n array of numbers: 0BBBB@ a11 a12 a13 · · · a1n a21 a22 a23 · · · a2n ... ... an1 an2 an3 · · · ann 1CCCCA Suppose each row consists of the n numbers 1,

• Placement Papers
• /
• Maths Olympiad

Maths Olympiad Question Papers:

(#M40021954) MATHS OLYMPIAD question GEOMETRY Keep an EYE

Consider an n × n array of numbers:
0BBBB@
a11 a12 a13 · · · a1n
a21 a22 a23 · · · a2n
...
...
an1 an2 an3 · · · ann
1CCCCA
Suppose each row consists of the n numbers 1, 2, 3, . . . , n in some order and aij = aji for
i = 1, 2, . . . , n and j = 1, 2, . . . , n. If n is odd, prove that the numbers a11, a22, a33, . . . , ann
are 1, 2, 3, . . . , n in some order.

Asked In Maths Olympiad MAN (11 years ago)

Unsolved

Is this Puzzle helpful?   (0)   (0) Submit Your Solution