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GATE 2024 MA – Question 4

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

Divide the sum of the first twenty consecutive positive odd numbers by 20². Find the result.

  1. 1
  2. 20
  3. 2
  4. 1/2

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Show answer and explanation

Correct answer: (A) 1

Explanation

The sum 1+3+…+(2n−1)=n². For n=20 the numerator is 400, equal to denominator 20². Result **1, A**.

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