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What is the value of \(\dfrac1{a}+\dfrac1{b}+\dfrac1{c}?\)

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by M7MBA » Thu Oct 29, 2020 1:11 pm

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Answers

A

B

C

D

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Difficulty—

What is the value of \(\dfrac1{a}+\dfrac1{b}+\dfrac1{c}?\)

(1) \(a+b=\dfrac56\)

(2) \(\dfrac{bc+ac+ab}{abc}=\dfrac{12}{13}\)

Answer: B

Source: GMAT Prep
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Source: — Data Sufficiency |
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Re: What is the value of \(\dfrac1{a}+\dfrac1{b}+\dfrac1{c}?\)

by deloitte247 » Sun Nov 01, 2020 3:41 pm
$$What\ is\ the\ value\ \frac{1}{a}+\frac{1}{b}+\frac{1}{c}?$$
Statement 1: a + b = 5/6
From the question stem; find the lcm
$$\frac{bc+ac+ab}{abc}=\frac{c\left(b+a\right)+ab}{abc}$$
$$=\frac{\frac{5}{6}c+ab}{abc}$$
$$=\frac{5c+6ab}{6abc}$$
Since the value of c is not stated, then, the target question cannot be answered. Therefore, statement 1 is NOT SUFFICIENT.

$$Statement\ 2:\frac{bc+ac+ab}{abc}=\frac{12}{13}$$
From the question stem; find the lcm
$$\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{bc+ac+ab}{abc}=\frac{12}{13}$$
The target question equals 13. Therefore, statement 2 is SUFFICIENT.

Since only statement B is sufficient, then option B is the correct answer.
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