Question

18
A 4 * 4 anti-magic square is an arrangement of the
numbers 1 to 16 in a square so that the totals of each of
the four rows, four columns and the two diagonals are ten
consecutive numbers in some order. The diagram shows
an incomplete anti magic square. When it is completed,
the number in the position of *
12
1135
101 11
6​

Answer 1

Answer:

Sum are from 30 to 39

Step-by-step explanation:

Here is  4 * 4 anti-magic square arrangement

                                                                   39

           4           5           7           14             30

                       

           6           13           3           15             37

          11           12           9           1               33

         10           2           16           8              36

         31            32          35        38            34

Sum are from 30 to 39

Hence totals of each of the four rows, four columns and the two diagonals are ten consecutive numbers in some order.

Answer 2

Given:

The numbers from 1 to 16.

Find:

A square having the sum of the four rows, four columns and the two diagonals are ten  consecutive numbers.

The required square is:

                                                               

34

           4            5            7            14             30

           6           13            3            15             37

          11            12            9            1               33

          10            2           16            8              36

 39      31           32          35         38            

The sum of two digonals, four rows, four columns are 10 consecutive numbers starting from 30 to 39.