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If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value

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If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the value

by BTGmoderatorDC » Tue Jan 12, 2021 5:36 pm

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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
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Source: — Data Sufficiency |
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Re: If <<n>> denotes the least positive integer multiple of 4 that is greater than or equal to integer n, what is the va

by swerve » Wed Jan 13, 2021 3:41 am

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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
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