BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

If \(4a = 7b = 21c,\) what is the value of \(b?\)

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pm
Followed by:5 members

Re: If \(4a = 7b = 21c,\) what is the value of \(b?\)

by deloitte247 » Sun Nov 01, 2020 2:00 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

If 4a = 7b = 21c, what is the value of b?

Statement 1: a = 7/4
From the question stem, 4a = 7b
$$b=\frac{4a}{7}=\frac{\frac{7}{4}\cdot\frac{4}{1}}{7}=1$$
The exact value of b=1, so, therefore, statement 1 is SUFFICIENT.

Statement 2: c = 1/3
From the question stem, 7b = 21c
$$b=\frac{21c}{7}=\frac{21\cdot\frac{1}{3}}{7}=\frac{7}{7}=1$$
The exact value of b=1, so, therefore, statement 2 is SUFFICIENT.

Since each statement is SUFFICIENT alone, then, the correct answer is option D.
Top
Post new topic Post Reply
• Page 1 of 1