The GATE Grind

GATE 2018 ME (ME2) – Question 9

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

Identify a house number using these statements: (i) If it is a multiple of 3, it lies from 50 to 59. (ii) If it is NOT a multiple of 4, it lies from 60 to 69. (iii) If it is NOT a multiple of 6, it lies from 70 to 79. What is the number?

  1. 54
  2. 65
  3. 66
  4. 76

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (D) 76

Explanation

Test 76: it is not a multiple of 3, so premise i is false; it is a multiple of 4, so premise ii is false. It is not a multiple of 6 and does lie in 70–79, satisfying iii. The other candidates violate an implication. Thus **76, D**. A false premise does not require its conclusion.