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a, b and c are numbers such that abc ≠ 0 and a/b = b/c=c/d

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by Max@Math Revolution » Thu May 30, 2019 12:21 am

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A

B

C

D

E

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[GMAT math practice question]

a, b and c are numbers such that abc ≠ 0 and a/b = b/c=c/d. What is the value of a/d?

1) a = 1
2) b = 2
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Source: — Data Sufficiency |
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by Max@Math Revolution » Sun Jun 02, 2019 4:49 pm
=>

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.

a/b=b/c => b^2 = ac => a = b^2/c
b/c=c/d => c^2 = bd => d = c^2/b
So, a/d = (b^2/c) / (c^2/b) = b^3/c^3 = (b/c)^3 = (a/b)^3
Thus, conditions 1) & 2) are sufficient, when applied together.

Therefore, C is the answer.
Answer: C
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