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GATE 2026 CE (CE1) – Question 8

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

Based on the relationship between each polygon and the number inside it, the value of 'X' is ______.

A triangle containing 6, a square containing 24, a pentagon containing 120 and a hexagon containing X.
  1. 720
  2. 596
  3. 24
  4. 240

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Show answer and explanation

Correct answer: (A) 720

Explanation

The number of sides is 3, 4, 5, and the numbers inside are $6 = 3!$, $24 = 4!$ and $120 = 5!$. The hexagon has 6 sides, so $X = 6! = 720$.