If n is such that 36 ≤ n ≤ 72, then x = (n2 + 2√n(n + 4) + 16) / (n+ 4√n+ 4) satisfies
Correct answer: D
Explanation
36 ≤ n ≤ 72
x = (n2 + 2√n(n + 4) + 16) / (n+ 4√n+ 4)
Put x = 36,
x = (362 + 2√36(36 + 4) + 16) / (36+ 4√36+ 4)
i.e which is least value for n = 28.
D
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Source: Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.