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GATE 2026 EC – Question 8

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

Let $P_k$ represent the perimeter of a square with sides of length $k$. The value of the expression $P_1 + P_2 + P_3 + \cdots + P_{10}$ is ________.

  1. 55
  2. 110
  3. 220
  4. 440

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Correct answer: (C) 220

Explanation

$P_k=4k$, so the sum is $4\cdot(1+2+\cdots+10)=4\cdot 55=220$.