Moving forward, please post each problem in a separate thread.
Is n/18 an integer?
a) 5n/18 is an integer.
b) 3n/18 is an integer.
Statement 1: 5n/18 is an integer
If 5n/18 = 1, then n=18/5.
In this case, n/18 is not an integer.
If 5n/18 = 5, then n=18.
In this case, n/18 is an integer.
INSUFFICIENT.
Statement 2: 3n/18 is an integer
If 3n/18 = 1, then n=18/3=6.
In this case, n/18 is not an integer.
If 3n/18 = 3, then n=18.
In this case, n/18 is an integer.
INSUFFICIENT.
Statements combined:
5n/18 - 3n/18 = 2n/18.
Since both 5n/18 and 3n/18 are integers, we get:
2n/18 = 5n/18 - 3n/18 = integer - integer = integer.
3n/18 - 2n/18 = n/18.
Since both 3n/18 and 2n/18 are integers, we get:
n/18 = 3n/18 - 2n/18 = integer - integer = integer.
SUFFICIENT.
The correct answer is
C.
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