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Harry first faces Hagrid’s Puzzle. Hagrid believes that the best way to teach Harry about magical creatures is by getting him to interact with them. Hagrid decides to make this a little interesting. Hagrid takes Harry to the Enchanted Forest. Hagrid with some help from Dumbledore divides the forest into several cells, each with it’s own coordinates as shown below. Each charm has a magical creature. Harry will start at (8,10). A spell has been laid so that movement between these cells is restricted. If your position is (a,b), you can only move to (a,a+b), (a,a-b),(a+b,b), (a-b,b), (b-a,b) and (a,b-a). Harry can contin- ue until there is no other magical creature under his reach. Harry wants to make the most of this exercise and learn as much as possible. What is the largest possible number of Magical Creatures he will be able to meet?

There are 8 girls and 10 boys in every section of Class VI. There are 12 such sections. How many children are there in Class VI in all? Use suitable property to support your answer.

Two pipes A and B can fill a cistern in 12 min and 16 min respectively. Both the pipes are opened together for a certain time but due to some obstruction, the flow of water was restricted to 7/8 of the full flow in pipe A and 5/6 of the full in pipe B. The obstruction, is removed after some time and the tank is now filled in 3 min from that moment. For how many minutes was the obstruction there?

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