Mathematics ยท Quantitative Aptitude

Number Sums and Series

287 Questions

Number sums and series questions test the ability to find patterns and calculate the sum of number sequences. These problems are a staple in the quantitative aptitude sections of various competitive exams. Practice this collection to improve speed and accuracy in solving arithmetic and geometric series problems.

Sum of consecutive integersGeometric series sumsRatio and proportion sumsOdd and even number propertiesRoman numeral calculations

Number Sums and Series Questions

Multiple choice

In the 2016 China Girls' Mathematical Olympiad, what was the sum of the first 100 positive integers?

  1. 4950

  2. 5050

  3. 5150

  4. 5250
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sum of the first n positive integers is given by the formula S = n(n+1) / 2. Plugging in the value n = 100, we get S = 100(101) / 2 = 5050.

Multiple choice

In the 2010 China Girls' Mathematical Olympiad, what was the sum of the first 50 positive even integers?

  1. 2500

  2. 2600

  3. 2700

  4. 2800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sum of the first n positive even integers is given by the formula S = n(n+1). Plugging in the value n = 50, we get S = 50(51) = 2550.