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Problem 4 - Entrance Test
The sum of the first n odd numbers is 400. Find n.
A. 19
B. 20
C. 21
D. 22
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Correct: B
The kth odd number is 2k–1. Sum of first n odd numbers is Σ_{k=1}^n (2k–1)=2Σk–Σ1=2·n(n+1)/2 – n = n(n+1)–n=n². Set n²=400 → n=20.