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18 Mar 2021, 01:30
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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:
25%
(medium)
Question Stats:
76% (01:13) correct
24%
(01:26)
wrong
based on 176
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of positive integer x?
(1) 1 ≤ x^5 ≤ 36
(2) 2x ≠ x^2
(1) 1 ≤ x^5 ≤ 36
(2) 2x ≠ x^2
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
18 Mar 2021, 02:16
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Bunuel
Question: Integer x = ?
Statement 1: 1 ≤ x^5 ≤ 36
Because
\(1^5 = 1\)
\(2^5 = 32\) and both satisfy the inequation of statement 1
therefore, x may be either 1 or 2 hence
NOT SUFFICIENT
Statement 2: \(2x ≠ x^2\)
i.e. x ≠ 2 but x may be any positive integer other than 2 hence
NOT SUFFICIENT
COmbining the statements
x = 1 as x ≠2 hence
SUFFICIENT
Answer: Option C
mohammadfaraaz123
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18 Mar 2021, 05:18
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Statement 1 : 1) 1 ≤ x^5 ≤ 36
Possible values for X
1^5 = 1 .... Valid
2^5 = 32 .... Valid
3^5 = 243 .... Invalid
Possible values : 1 or 2
Insufficient.
Statement 2 : (2) 2x ≠ x^2
So x ≠ 2 but we still don't know what is the value of x.
Insufficient.
Combining two statements
From Statement 1: X can be 1 or 2
From Statement 2: X is not 2 for sure.
Hence, x has to be equal to 1.
Sufficient. Answer choice (C)
Possible values for X
1^5 = 1 .... Valid
2^5 = 32 .... Valid
3^5 = 243 .... Invalid
Possible values : 1 or 2
Insufficient.
Statement 2 : (2) 2x ≠ x^2
So x ≠ 2 but we still don't know what is the value of x.
Insufficient.
Combining two statements
From Statement 1: X can be 1 or 2
From Statement 2: X is not 2 for sure.
Hence, x has to be equal to 1.
Sufficient. Answer choice (C)
