Maths Maths Puzzle Category

If a^2+b^2+c^2 = 36, x^2+y^2+c^2 = 25 and ax+by+cz = 30 then the value of ( x+y+z /a+b+c) is

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Maths Other Question

There are 8 positive numbers and 6 negative numbers. 4 numbers are chosen at random and multiplied. Find the probability that the product is a positive number ? Two pipes P1 and P2 can fill a tank in 24 minutes and 30 minutes respectively. If both the pipes are opened simultaneously, after how much time should P2 be closed so that the tank is full in 20 minutes ?