INTERVIEW QUESTIONS GENERAL LOGICAL & APTITUDE DETAILS

Question: The numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 must be put in the depicted triangle, in such a way that the sums of the numbers on each side are equal. How should the numbers be arranged in the triangle?

Answer: There are 18 solutions to this problem, when you leave out all rotations and mirror solutions. They are all listed below: 1
5 7
9 6
2 4 8 3

1
5 8
9 3
4 2 6 7

1
6 9
8 4
2 5 7 3

1
6 9
8 2
4 3 5 7

1
6 7
8 3
5 2 4 9

2
4 7
9 3
5 1 6 8

2
5 6
9 4
3 1 8 7

2
6 9
7 1
5 3 4 8

2
6 9
8 1
3 4 5 7

3
2 6
9 4
7 1 5 8

3
4 9
8 1
5 2 6 7

3
4 7
8 2
6 1 5 9

3
5 9
6 1
7 2 4 8

3
5 8
7 1
6 2 4 9

4
2 7
9 3
5 1 8 6

4
3 9
8 1
5 2 7 6

7
2 4
6 3
8 1 5 9

7
3 6
5 1
8 2 4 9.

There are 18 solutions to this problem, when you leave out all rotations and mirror solutions. They are all listed below: 1
5 7
9 6
2 4 8 3

1
5 8
9 3
4 2 6 7

1
6 9
8 4
2 5 7 3

1
6 9
8 2
4 3 5 7

1
6 7
8 3
5 2 4 9

2
4 7
9 3
5 1 6 8

2
5 6
9 4
3 1 8 7

2
6 9
7 1
5 3 4 8

2
6 9
8 1
3 4 5 7

3
2 6
9 4
7 1 5 8

3
4 9
8 1
5 2 6 7

3
4 7
8 2
6 1 5 9

3
5 9
6 1
7 2 4 8

3
5 8
7 1
6 2 4 9

4
2 7
9 3
5 1 8 6

4
3 9
8 1
5 2 7 6

7
2 4
6 3
8 1 5 9

7
3 6
5 1
8 2 4 9. Source: CoolInterview.com

side 1:1,2,3,4,5
side2:7,8
side 3: 9,6 Source: CoolInterview.com

7
3 2
4 6
9 1 5 8

CORRECT SOLUTION Source: CoolInterview.com

Sum of all the numbers from 1 to 9 is 45 if we divide 45 by 3 we get 15. So the traingle consists of 3 sides so all the three sides should have a sum of 15. So we have
Side 1 : 9+1+5
Side 2 : 3+4+8
Side 3 : 7+6+2. Source: CoolInterview.com

side 1 : 7+3+5
side 2: 8+6+1
side 3 : 9+4+2 Source: CoolInterview.com

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