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The integers \(a, b, c,\) and \(d\) can each be equal to \(0, 1, 2,\) or \(3,\) independently. What is the value of

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The integers \(a, b, c,\) and \(d\) can each be equal to \(0, 1, 2,\) or \(3,\) independently. What is the value of

by VJesus12 » Mon Sep 21, 2020 7:11 am

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The integers \(a, b, c,\) and \(d\) can each be equal to \(0, 1, 2,\) or \(3,\) independently. What is the value of \((a + 1)(b + 1)(c + 1)(d + 1)?\)

(1) \(a + 4b + 16c + 64d = 165\)

(2) \(64a + 16b + 4c + d = 90\)

Answer: D

Source: Manhattan GMAT
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