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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
