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1.
Using two vertical and two horizontal grid lines, a square is divided into nine equal smaller squares of the same size, and marked by numbers 1 to 9. Nine different coins weighing 0.2 gm, 0.4 gm, 0.6 gm, 0.8 gm, 1.0 gm, 1.2 gm, 1.4 gm, 1.6 gm and 1.8 gm are to be placed, one in each square.
[1] If the sum of the weights along the three rows, the three columns and the two diagonals are the same, how many different arrangements are possible?
(1) 2
(2) 4
(3) 8
(4) 10[2] If sum of the weights along the rows and columns are the same, but the sum of the weights along one diagonal is double the other, how many different arrangements are possible'?
(1) 6
(2) 8
(3) 9
(4) 10asked in JMET
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