H


G


A

B

O

C

D

E


F

A,B,C,D,E,F,G,H,O are distinct single digit nonzero positive
integers placed as shown in the above diagram. Given that, sum of numbers placed
north of ‘O’ = sum of numbers placed south of ‘O’ = sum of numbers placed east of
‘O’ = sum of numbers placed west of ‘O’. Then find all the possible values of ’O’?
(1)1,2,3 (2)1,3,5 (3)1,5,9 (4)2,4,6 (5)1,3,9
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Option 3: 1,5,9 going symmetrically
ReplyDeleteSymmetry of 1,5,9  it is a good idea Pradeep. Given the symmetry of the problem, the answer should by symmetric.
ReplyDeleteThe sum 1 + ... + 9 = 45. By removing the value of 'O' we are left with a sum that has to be a multiple of 4. The possible options are: 44, 40, 36. Subtracting these from 45 we get 1, 5, 9.
ReplyDeleteI think this is the best logical solution. kudos..
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