CAT Exam

A telecom service provider engages male and female operators for answering 1000 calls per day. A male operator can handle 40 calls per day whereas a female operator can handle 50 calls per day. The male and the female operators get a fixed wage of Rs. 250 and Rs. 300 per day respectively. In addition, a male operator gets Rs. 15 per call he answers and a female operator gets Rs. 10 per call she answers. To minimize the total cost, how many male operators should the service provider employ assuming he has to employ more than 7 of the 12 female operators available for the job?
(1) 15
(2) 14
(3) 12
(4) 10

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CAT Other Question
Let g(x) be a function such that g(x + 1) + g(x – l) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?
(1) 5
(2) 3
(3) 2
(4) 6 Three Englishmen and three Frenchmen work for the same company. Each of them knows a secret not known to others. They need to exchange these secrets over person-to-person phone calls so that eventually each person knows all six secrets. None of the Frenchmen knows English, and only on Englishman knows French. What is the minimum number of phone calls needed for the above purpose?
(1) 5
(2) 10
(3) 9
(4) 15