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19 Mar 2020, 08:32
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (01:00) correct
9%
(00:52)
wrong
based on 77
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of a + b?
(1) 5a + 2b = 22
(2) 3b = 30 − 6a
(1) 5a + 2b = 22
(2) 3b = 30 − 6a
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
Data Sufficiency Forum
19 Mar 2020, 08:42
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Bunuel
Asked: What is the value of a + b?
(1) 5a + 2b = 22
a + b is unknown
NOT SUFFICIENT
(2) 3b = 30 − 6a
6a + 3b = 30
a + b is unknown
NOT SUFFICIENT
(1) + (2)
(1) 5a + 2b = 22
(2) 3b = 30 − 6a
6a + 3b = 30
2a + b = 10
4a + 2b = 20
a = 2
b = 6
a + b = 8
SUFFICIENT
IMO C
26 Mar 2020, 13:29
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Solution
To find
We need to determine
- • The value of a + b
Analysing Statement 1
As per the information given in statement 1,
- • 5a + 2b = 22
This is a single equation with two variables a and b.
Hence, we cannot determine the individual values of a and b.
Also, from the equation, we cannot determine the value of a + b directly.
Hence, statement 1 is not sufficient to answer the question.
Analysing Statement 2
As per the information given in statement 2,
- • 3b = 30 – 6a
Or, 6a + 3b = 30 implies 2a + b = 10
This is a single equation with two variables a and b.
Hence, we cannot determine the individual values of a and b.
Also, from the equation, we cannot determine the value of a + b directly.
Hence, statement 2 is not sufficient to answer the question.
Combining Both Statements
We have two variables and two independent equations 5a + 2b = 22 and 2a + b = 10
- • Solving them, we can determine the individual values of a and b respectively, and therefore the value of a + b
Thus, option C is the correct answer.
Correct Answer: Option C
