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CAT 2006 | Question: 73

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The number of employees in Obelix Menhor 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, possibly be

  1. $101:88$
  2. $87:100$
  3. $110:111$
  4. $85:98$
  5. $97:84$
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As the number of employees is prime we can add the numerator and denominator of ratios directly to find the number of employees.
1. 101 + 88 = 189, which is not a prime number.

2. 87 + 100 = 187, which is not a prime number.

3. 110 + 111 = 221, which is not a prime number.

4. 85 + 98 = 183, which is not a prime number.

5. 97 + 84 = 181, which is a prime number.

The ratio of employees = 97:84

Hence, option (5)97:84 .is the correct choice.

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