The GATE Grind

GATE 2018 CE (CE1) – Question 10

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

Each letter in the arrangement is a distinct integer from 1 to 9. Products A×B×C, B×G×E and D×E×F are equal. Which integer cannot be any of A, B, C, D, E, F or G?

Diagram for GATE 2018 CE (CE1) question 10
  1. 4
  2. 5
  3. 6
  4. 9

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) 5

Explanation

If 5 appeared in any product, the common product would be divisible by 5, forcing 5 into all three groups because no other integer from 1 to 9 is a multiple of 5. No letter belongs to all three groups, and distinctness prevents repeating 5. Therefore 5 cannot be used (B).