Gmat_mission wrote: ↑Fri Jan 08, 2021 1:58 am
If \(x\) is a positive integer greater than \(1,\) what is the value of \(x?\)
(1) \(2x\) is a common factor of \(18\) and \(24.\)
(2) \(x\) is a factor of \(6.\)
Answer:
A
Source: Official Guide
Target question: What is the value of x?
Given: x is a positive integer greater than 1
Statement 1: 2x is a common factor of 18 and 24
Positive factors of 18: 1, 2, 3, 6, 9, 18
Positive factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
COMMON factors of 18 and 24: 1, 2, 3, 6
So, 2x = 1, 2x = 2, 2x = 3 or 2x = 6
This means, x = 0.5, x = 1, x = 1.5 or x = 3
Since we're told that x is a positive integer greater than 1, we can see that
x MUST equal 3
Since we can answer the
target question with certainty, statement 1 is SUFFICIENT
Statement 2: x is a factor of 6
So, x could equal 1, 2, 3, or 6
Since we're told that x is a positive integer greater than 1, we can see that
x COULD equal 2, 3, or 6
Since we cannot answer the
target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
