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**Some sample questions from CBSE Class 12th Mathematics Question Paper (Set-1) are given here**

**Q.** In a hockey match, both teams A and B scored same number or goals up to the end of the game, so to decide the winner, the referee asked both the captains to throw a (lie alternately and decied that the team, whose captain gets a six first, will be declared the winner, If the captain of team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.

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**Q.** A manufacture considers that men and women workers are equally efficient and so he pays them at the same rate. He has 30 and 17 units of workers (male and female) and capita] respectively, which he uses to produce two types of goods A and B. To produce one unit of A, 2 workers and 3 units of capital are required while 3 workers and 1 unit of capital is required to produce one unit of B. If A and B are priced at 100 and 120 per unit respectively, how should he use his resources to maximize the total revenue? Form the above as an LPP and solve graphically.

Do you agree with this view of the manufacturer that men and women workers are equally efficient and so should be paid at the same rates?

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**Q.** The management committee of a residential colony decided to award some or its member (say x) for honesty, some (say y) for helping others and some others (say z) for supervising the workers to keep the colony neat and clean. The sum of all the awardees is 12. Three times the um of awardees for cooperation and supervision added t two times the number of awardees for honesty is 33. If the sum of the number of awardees for honesty and supervision is twice the number of awardees for helping others, using matrix method, find the number of awardees of each category. Apart from these values, namely, honesty, cooperation and supervision, suggest one more value which the management of the colony must include for awards.

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