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Number System · Question 14 of 71

Question 14

MediumOriginal question

Arjun adds 1+2+31 + 2 + 3 + … and stops as soon as the running total reaches exactly 210. What is the last number he adds?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. We need n(n+1)2=210\frac{n(n+1)}{2} = 210, so n(n+1)=420n(n+1) = 420.

  2. 20×21=42020 \times 21 = 420, so n=20n = 20.

Worth noting

21 comes from stopping at the second factor of 420; 105 is half of 210, which ignores the formula.

Concept
Using the sum of first n natural numbers in reverse
Typical time
45 s
Your time
—
The rule this testsTypes of numbers
Practise this chapter →

Ten questions from Number System, at your own pace.

Practise this chapter →

Ten questions from Number System, at your own pace.