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If n is an odd integer, which of the following must be an odd integer? (A) n - 1 (B) n + 1 (C) 2n (D) 3n + 1 (E) 4n + 1

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4n+1
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(E)
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n is odd, then n - 1, n + 1, 2n, 3n + 1 are even. n is odd, then 4n is even. Hence, 4n + 1 is odd. So correct option is (E)
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E) 4n+1
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4n + 1
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4n+1
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The first 4 options certainly give an odd number as answer. Hence the only correct answer is 4n+1 (E)
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4n+1
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