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01 Nov 2021, 15:06
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A
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:
74% (00:44) correct
26%
(00:39)
wrong
based on 202
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of \(x\)?
(1) \((\sqrt{x})^2 = 7\)
(2) \(\sqrt{x^2} = 7\)
(1) \((\sqrt{x})^2 = 7\)
(2) \(\sqrt{x^2} = 7\)
02 Nov 2021, 00:12
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What is the value of \(x\)?
(1) \((\sqrt{x})^2 = 7\)
Straightway x=7.
Sufficient.
(2) \(\sqrt{x^2} = 7\)
Do not confuse with the statement: Square root has to be positive and we deal with square roots of only non-negative numbers.
Here, we get |x|=7, so x can be 7 or -7.
Insufficient
B
(1) \((\sqrt{x})^2 = 7\)
Straightway x=7.
Sufficient.
(2) \(\sqrt{x^2} = 7\)
Do not confuse with the statement: Square root has to be positive and we deal with square roots of only non-negative numbers.
Here, we get |x|=7, so x can be 7 or -7.
Insufficient
B
02 Nov 2021, 06:24
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BrentGMATPrepNow
What is the value of \(x\)?
(1) \((\sqrt{x})^2 = 7\)
(2) \(\sqrt{x^2} = 7\)
(1) \((\sqrt{x})^2 = 7\)
(2) \(\sqrt{x^2} = 7\)
Target question: What is the value of \(x\)?
Statement 1: \((\sqrt{x})^2 = 7\)
Since the square root of a negative number is undefined, we can conclude that x must be positive.
So, it must be the case that x = 7
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: \(\sqrt{x^2} = 7\)
In this case, \(x^2\) becomes a positive value for all possible values of x.
So, if \(x = 7\), we get: \(\sqrt{x^2} = \sqrt{7^2} =\sqrt{49} =7\)
Similarly, if \(x = -7\), we get: \(\sqrt{x^2} = \sqrt{(-7)^2} =\sqrt{49} =7\)
In this case, there are two solutions: x = 7 and x = -7
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
