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Source: Manhattan Prep
\(abc\) is a three-digit number in which \(a\) is the hundreds digit, b is the tens digit, and c is the units digit. Let \(\&(abc)\& = (2^a)(3^b)(5^c).\) For example, \(\&(203)\& = (2^2)(3^0)(5^3) = 500.\) For how many three-digit numbers \(abc\) does the function \(\&(abc)\&\) yield a prime number?
A) Zero
B) One
C) Two
D) Three
E) Nine
The OA is B
\(abc\) is a three-digit number in which \(a\) is the hundreds digit, b is the tens digit, and c is the units digit. Let \(\&(abc)\& = (2^a)(3^b)(5^c).\) For example, \(\&(203)\& = (2^2)(3^0)(5^3) = 500.\) For how many three-digit numbers \(abc\) does the function \(\&(abc)\&\) yield a prime number?
A) Zero
B) One
C) Two
D) Three
E) Nine
The OA is B
