Question:

The number of employees in Obelix Menhir Co. is a prime number less than 300. The ratio of graduates and above to non-graduates can possibly be:

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For ratios with a prime total, check sum of terms for primality.
Updated On: Jul 31, 2025
  • 101:88
  • 87:100
  • 110:111
  • 85:98
  • 97:84
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The Correct Option is

Solution and Explanation

If total employees = $p$ prime, then sum of ratio parts must equal $p$. Checking:
1. $101+88=189$ (not prime)
2. $87+100=187$ (not prime)
3. $110+111=221$ (not prime)
4. $85+98=183$ (not prime)
5. $97+84=181$ (prime, and<300)
\[ \boxed{97:84} \]
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