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13 Apr 2022, 03:00
Kudos
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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:
15%
(low)
Question Stats:
76% (00:45) correct
24%
(00:35)
wrong
based on 88
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of x ?
(1) 13x > 12x
(2) x^2 = 9
(1) 13x > 12x
(2) x^2 = 9
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
13 Apr 2022, 06:45
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Bunuel
Target question: What is the value of x ?
Statement 1: 13x > 12x
Subtract 12x from both sides of the inequality to get: x > 0
There's no way to find the value of x from this information.
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x² = 9
This tells us that EITHER x = 3 OR x = -3
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined
Statement 2 tells us that EITHER x = 3 OR x = -3
Statement 1 tells us that x is POSITIVE
So, when we combine the two statements we can be certain that x = 3
Since we can answer the target question with certainty, the combined statements are SUFFICIENT
Answer: C
Cheers,
Brent
13 Apr 2022, 07:06
Kudos
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Step 1: Analyse Question Stem
We need to find the value of x.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: 13x > 12x
Bringing all variable terms to one side, we have, 13x – 12x > 0.
Upon simplification, we have x > 0. This is a range for x and does not give us a value for x.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: \(x^2 \)= 9
Bringing all terms to the LHS and factoring the LHS using standard algebraic identities, we have,
\(x^2\) – 9 = 0
\(x^2\) – \(3^2\) = 0
(x + 3) (x – 3) = 0
Therefore, x = 3 or x = -3.
Statement 2 alone is insufficient to find a unique value for x. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: x > 0
From statement 2: x = 3 or x = -3.
Combining the information, x = 3.
The combination of statements is sufficient. Answer option E can be eliminated.
The correct answer option is C.
We need to find the value of x.
Step 2: Analyse Statements Independently (And eliminate options) – AD / BCE
Statement 1: 13x > 12x
Bringing all variable terms to one side, we have, 13x – 12x > 0.
Upon simplification, we have x > 0. This is a range for x and does not give us a value for x.
Statement 1 alone is insufficient. Answer options A and D can be eliminated.
Statement 2: \(x^2 \)= 9
Bringing all terms to the LHS and factoring the LHS using standard algebraic identities, we have,
\(x^2\) – 9 = 0
\(x^2\) – \(3^2\) = 0
(x + 3) (x – 3) = 0
Therefore, x = 3 or x = -3.
Statement 2 alone is insufficient to find a unique value for x. Answer option B can be eliminated.
Step 3: Analyse Statements by combining
From statement 1: x > 0
From statement 2: x = 3 or x = -3.
Combining the information, x = 3.
The combination of statements is sufficient. Answer option E can be eliminated.
The correct answer option is C.
