The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be:
Explanation:
Consider options. As the number of employees is prime we can add the numerator and denominator of ratios directly to find the number of employees.
Option (a): Number of employees = 101 + 88 = 189 Number of employees = 189, which is not a prime number. ∴ Option (a) is eliminated.
Option (b): Number of employees = 87 + 100 = 187 Number of employees = 187, which is not a prime number. ∴ Option (b) is eliminated.
Option (c): Number of employees = 110 + 111 = 221 Number of employees = 221, which is not a prime number. ∴ Option (c) is eliminated.
Option (d): Number of employees = 85 + 98 = 183 Number of employees = 183, which is not a prime number. ∴ Option (d) is eliminated.
Option (e): Number of employees = 97 + 84 = 181 Number of employees = 181, which is a prime number. ∴ The ratio of employees = 97 : 84
Hence, option (e).
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