CAT Exam

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

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CAT Other Question

Let S be a set of positive integers such that every element n of S satisfies the conditions
a) 1000 ≤ n ≤ 1200 b) every digit in n is odd Then how many elements of S are divisible by 3?
(1) 9
(2) 10
(3) 11
(4) 12 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