BTGmoderatorDC wrote: ↑Tue Jan 12, 2021 5:36 pm
If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value of n ?
(1) <<n>> = 12
(2) n is equal to the sum of two consecutive prime numbers.
OA
C
Source: Princeton Review
To find the value of n
Statement 1
\(<<n>> = 12\)
\(\Rightarrow\) the least positive integer multiple of 4 that is greater than or equal to integer n is 12
\(\Rightarrow n\) can have the values \(9, 10, 11, 12\)
We can't figure out a unique value for \(n\). Not sufficient \(\Large{\color{red}\chi}\)
Statement 2
\(n\) is equal to the sum of two consecutive prime numbers.
\(n\) can be \(3 = 5 = 8\) or \(5 + 7 = 12\) and so on.
We have infinitely many possible value for \(n\). Not sufficient \(\Large{\color{red}\chi}\)
Combining statements 1 and 2
Among \(9, 10, 11, 12\) only \(12\) is the sum of two consecutive prime numbers \(5\) and \(7\)
\(n = 12\). Sufficient \(\Large{\color{green}\checkmark}\)
Therefore,
C
