Arrange 9 integers from 1 to 9 without repetition in a 3*3 size square box (total 9 small boxes) in such a manner that sum of 3 integers (S) of 3 horizontal , 3 vertical and 2 diagonal lines are same. S will be

M4maths Previous Puzzles

11 Apr 2012 arrangement Arrange 9 integers from 1 to 9 without repetition in a 3*3 size square box (total 9 small boxes) in such a manner that sum of 3 integers (S) of 3 horizontal , 3 vertical and 2 diagonal lines are same. S will be: OPtion
1) 9
2) 10
3) 12
4) 14
5) 15
6) 18
7) 21
8) 25
9) 28
10) 30; Correct Option: 5 Best Solution (8)

Balakumaran N.A 13 years AGO

Its nothing but a Concept of "Magic Square"...
we can arrange by Matrix(3*3): 6 1 8
7 5 3
2 9 4

S=15...

Like? Yes (3) | No

Datla Kanthi 13 years AGO

One way to get equal sum numbers can be arranged as below:
+---+---+---+
| 2 | 9 | 4 |
+---+---+---+
| 7 | 5 | 3 |
+---+---+---+
| 6 | 1 | 8 |
+---+---+---+
sum of 3 integers (S) of 3 horizontal , 3 vertical and 2 diagonal lines is 15 so option 5

Like? Yes (2) | No

Balakrishnan M 13 years AGO

Sum of the 3 integers S=15,
3 horizontal lines,
6+1+8=15,7+5+3=15,2+9+4=15
3 vertical lines,
6+7+2=15,1+5+9=15,8+3+4=15
2 diagonal is
6+5+4=15,8+5+2=15.
3*3 Square is
6 1 8
7 5 3
2 9 4

Like? Yes (2) | No

anil kumar reddy 13 years AGO

8 1 6
3 5 7
4 9 2 the sum will be 15 if you add in all direction it is a magic square

Like? Yes (1) | No

sumanth jayam 13 years AGO

4 3 8
9 5 1
2 7 6

Like? Yes (1) | No

Sikandar chouhan 13 years AGO

2 | 9 | 4
7 | 5 | 3
6 | 1 | 8

Like? Yes (1) | No

Viru Sihag 13 years AGO

2 | 9 | 4
7 | 5 |3
6 | 1 | 8

Like? Yes (1) | No

Vignesh 13 years AGO

Following are 3*3 matrix with sum of 15 in horizontal(3), vertical(3) and diagonal(2)

2 9 4
7 5 3
6 1 8

Like? Yes (1) | No

Dimple

India

Punjab

Time: 00:01:33

Points

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Arrange 9 integers from 1 to 9 without repetition in a 3*3 size square box (total 9 small boxes) in

M4maths Previous Puzzles

11 Apr 2012 arrangement