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GATE 2018 CE (CE2) – Question 10

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 2 marks · Multiple choice

Each letter in the diagram represents a unique integer from 1 to 9. Each of A+B+C, C+D+E, E+F+G and G+H+K equals 13. Which integer is E?

Diagram for GATE 2018 CE (CE2) question 10
  1. 1
  2. 4
  3. 6
  4. 7

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Show answer and explanation

Correct answer: (B) 4

Explanation

Adding the four group sums gives 52. The nine distinct integers total 45, and C, E, G are counted twice, so $C+E+G=7$; these three values must be 1, 2, 4. If E were 1 or 2, one neighbouring three-letter group would require a value of 10. Thus E = 4 (B).