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Each of the letters in the figure below represents a unique integer from 1 to 9. The letters are positioned in the figure such that each of (A + B + C), (C + D + E), (E + F + G) and (G + H + K) is equal to 13. Which integer does E represent?

1. 1
2. 4
3. 6
4. 7

Correct answer: 4

Solution

The sum of the integers in each group must equal 13, and since E is part of multiple groups, it must be a value that allows the other integers to also be unique and fit within the range of 1 to 9. Testing the options, E = 4 allows for valid combinations with the other letters, while maintaining the uniqueness of the integers.

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