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Difficulty:
5%
(low)
Question Stats:
87% (00:51) correct
13%
(01:25)
wrong
based on 68
sessions
History
Date
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If b does not equal 0, what is the value of 4a/(3b)?
(1) a = b + 2
(2) a = 2b
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
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joohwangie
Joined: 17 Jan 2019
Last visit: 16 Aug 2026
Posts: 253
Concentration: Leadership, Sustainability
Schools: Stanford '26
Products:
Schools: Stanford '26
Posts: 253
If b does not equal 0, what is the value of 4a/(3b)?
(1) a = b + 2
with substitution we still stuck with 1 variable
insufficient
(2) a = 2b
with substitution we still stuck with 1 variable
insufficient
together 2b=b+2 therefore b=2
and a=4
2 equations for solving 2 variables
sufficient
therefore, C
(1) a = b + 2
with substitution we still stuck with 1 variable
insufficient
(2) a = 2b
with substitution we still stuck with 1 variable
insufficient
together 2b=b+2 therefore b=2
and a=4
2 equations for solving 2 variables
sufficient
therefore, C
Posts: 317
b≠0 4a/3b=?
(1) a = b + 2
4(b+2)/3b = (4b+8)/3b......b can be any value.......different answers......INSUFFICIENT!
(2) a = 2b
4(2b)/3b = 8/3.......SUFFICIENT!
IMO answer is option B
(1) a = b + 2
4(b+2)/3b = (4b+8)/3b......b can be any value.......different answers......INSUFFICIENT!
(2) a = 2b
4(2b)/3b = 8/3.......SUFFICIENT!
IMO answer is option B
LalitaSiri
Joined: 05 Aug 2018
Last visit: 06 Mar 2020
Posts: 70
Location: Thailand
Concentration: Finance, Entrepreneurship
GPA: 3.68
WE:Business Development (Energy)
Posts: 70
Find 4a/3b, if b not equal to 0
1. a = b+2
Insert a value in the equation
4 (b+2) / 3b = (4b+8)/3b - not sufficient, because we dont know value of b
2. a = 2b
Insert a value in the equation, we get
4(2b)/3b = 8/3 - sufficient
Thus, B is the correct answer
Posted from my mobile device
1. a = b+2
Insert a value in the equation
4 (b+2) / 3b = (4b+8)/3b - not sufficient, because we dont know value of b
2. a = 2b
Insert a value in the equation, we get
4(2b)/3b = 8/3 - sufficient
Thus, B is the correct answer
Posted from my mobile device
anbknaga
Joined: 27 Aug 2018
Last visit: 19 May 2026
Posts: 93
Location: India
Concentration: Operations, Healthcare
Schools: ISB '21 (D) Great Lakes '21 (WD)
GMAT 1: 650 Q48 V31
WE:Operations (Healthcare/Pharmaceuticals)
Products:
\(\frac{4a}{3b}\)
Statement 1: a = b + 2
a and b can take any number of values and that will give us different answers for \(\frac{4a}{3b}\)
INSUFFICIENT.AD/BCE
Statement 2: a = 2b
Substitute a = 2b in the equation
\(\frac{4(2b)}{3b}\)
\(\frac{8b}{3b}\) = \(\frac{8}{3}\)
SUFFICIENT
Therefore the answer is B
Statement 1: a = b + 2
a and b can take any number of values and that will give us different answers for \(\frac{4a}{3b}\)
INSUFFICIENT.
Statement 2: a = 2b
Substitute a = 2b in the equation
\(\frac{4(2b)}{3b}\)
\(\frac{8b}{3b}\) = \(\frac{8}{3}\)
SUFFICIENT
Therefore the answer is B
Statement 1 is not sufficient because knowing that a=2+b means 4a/3b
= (4b+8)/3b= 4/3 + 8/3b
Since we don’t know the value of b, there are countless possibilities.
Statement 2 is sufficient since it leads to 4*2b/3b =8/3.
The answer is therefore B.
Posted from my mobile device
= (4b+8)/3b= 4/3 + 8/3b
Since we don’t know the value of b, there are countless possibilities.
Statement 2 is sufficient since it leads to 4*2b/3b =8/3.
The answer is therefore B.
Posted from my mobile device
Archit3110
Major Poster
Joined: 18 Aug 2017
Last visit: 11 Sep 2026
Posts: 8,816
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81 
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,816
#1
4*(b+2)/3b ; 4b+8/3b
b not know insufficient
#2
a = 2b
8b/3b ; 8/3
sufficient
IMO B
If b does not equal 0, what is the value of 4a/(3b)?
(1) a = b + 2
(2) a = 2b
4*(b+2)/3b ; 4b+8/3b
b not know insufficient
#2
a = 2b
8b/3b ; 8/3
sufficient
IMO B
If b does not equal 0, what is the value of 4a/(3b)?
(1) a = b + 2
(2) a = 2b
If b does not equal 0, what is the value of \frac{4a}{3b}?
b ≠ 0,
(1) \(a = b + 2\)
\(\frac{4a}{3b} = \frac{4(b + 2)}{3b}\)
\(\frac{4a}{3b} = \frac{(4b + 8)}{3b}\)
INSUFFICIENT.
(2) \(a = 2b\)
\(\frac{4a}{3b} = \frac{4*2b}{3b}\)
\(\frac{4a}{3b} = \frac{8b}{3b} = \frac{8}{3}\)
SUFFICIENT.
Answer(B).
_________________
b ≠ 0,
(1) \(a = b + 2\)
\(\frac{4a}{3b} = \frac{4(b + 2)}{3b}\)
\(\frac{4a}{3b} = \frac{(4b + 8)}{3b}\)
INSUFFICIENT.
(2) \(a = 2b\)
\(\frac{4a}{3b} = \frac{4*2b}{3b}\)
\(\frac{4a}{3b} = \frac{8b}{3b} = \frac{8}{3}\)
SUFFICIENT.
Answer(B).
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Quote:
b≠0
(1) a = b + 2: 4(b+2)/3b=4b+8/3b insufic.
(2) a = 2b: 4(2b)/3b=8/3 sufic.
Answer (B)
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