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GATE 2019 AE – Question 4

General Aptitude · Analytical Aptitude: Logical Reasoning, Deduction and Analogy · 1 mark · Multiple choice

Arrange 10,7,5,4,2 from left to right so that no two odd or even numbers are adjacent, the second is half the leftmost, and the middle is twice the rightmost. Which is second from the right?

  1. 2
  2. 4
  3. 7
  4. 10

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Correct answer: (C) 7

Explanation

There are three evens and two odds, so the pattern must be even–odd–even–odd–even. The second must be half the first; the only permitted pair is 10,5. The remaining even numbers are 4 and 2, and the middle must be twice the last, so they occupy the third and fifth positions respectively. The remaining 7 is fourth. Thus 10,5,4,7,2, and the answer is 7, C.

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