CAT 2006 — QA Question 23
Answer the following question based on the information given below.
An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60 kg of luggage between them, and are charged Rs. 1200 and Rs. 2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs. 5400.
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:
Answer & solution
- A
101 : 88
- B
87 : 100
- C
110 : 111
- D
85 : 98
97 : 84
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).