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Set \(S\) contains consecutive natural numbers from \(1\) to \(100,\) in increasing order. \(S_1\) and \(S_2\) denote

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Set \(S\) contains consecutive natural numbers from \(1\) to \(100,\) in increasing order. \(S_1\) and \(S_2\) denote

by Vincen » Thu Jun 10, 2021 11:16 am

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Set \(S\) contains consecutive natural numbers from \(1\) to \(100,\) in increasing order. \(S_1\) and \(S_2\) denote the sum of first \(n\) even numbers and last \(n\) odd numbers of set \(S,\) respectively. What is the value of \(n,\) if \(S_1:S_2 = 16: 85?\)

A. 5
B. 10
C. 15
D. 20
E. 25

Answer: C

Source: e-GMAT
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