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Circle C1 has a radius of 3 units. The line segment
PQ is the only diameter of the circle which is
parallel to the X axis. P and Q are points on curves
given by the equations y + ax and y = 2ax
respectively, where a < 1. The value of a is:

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Ashok can complete a work in 10 days if he works for 4 hours everyday. Bharath can complete the same work in 4 days and Charan in 8 days but have to work 8 hours and 7 hours a day respectively. If Bharath and Charan can complete another work in 7 days working for 4 hours a day, then how many days would Ashok take to complete the work if he works for 5 hours a day?

A, B and C are 3 varieties of beer which contains starch, hops and water in varying proportions. A contains x% starch and y% hops. B contains y% starch and y% water. C contains x% hops and y% water. When A, B and C are mixed in the ratio 2:3:5, then the final mixture has 38% starch and 28% hops. Find the sum of x and y?

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