The reactivity of different nucleophiles $(N H_{2}^{-}, C H_{3} C O O^{-}, O H^{-})$ is in the order:

N H_{2}^{-} < C H_{3} C O O^{-} < O H^{-}

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C H_{3} C O O^{-} < O H^{-} < N H_{2}^{-}

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N H_{2}^{-} < O H^{-} < C H_{3} C O O^{-}

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C H_{3} C O O^{-} < N H_{2}^{-} < O H^{-}

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Solution

The correct option is B $C H_{3} C O O^{-} < O H^{-} < N H_{2}^{-}$
More stable the anion, less will be its nucleophilicity. Acetate is the most stabilised ion since it has equivalent resonance structures. Electronegativity of $O$ is greater than $N$ hence it can accomodate negative charge more easily. Thus the order will be: $C H_{3} C O O^{-} < O H^{-} < N H_{2}^{-}$

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