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GATE 2020 CE (CE2) – Question 8

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

Find the ratio of the sum of odd positive integers from 1 to 100 to the sum of even positive integers from 150 to 200.

  1. 45:95
  2. 1:2
  3. 50:91
  4. 1:1

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Correct answer: (C) 50:91

Explanation

The 50 odd integers sum to $50^2=2500$. The 26 even integers from 150 through 200 sum to $26(150+200)/2=4550$. Thus ratio is $2500:4550=50:91$. **C**.