CAT Exam

Suppose we have 3 real numbers x,y and z such that x^3=3y-2, y^3=3z-2 and z^3=3x-2. Find the number of triplets of (x,y,z) which exist?

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CAT Other Question

a sum of rs 300 was paid for a work that a can do in 32 days,b in 20 days,c in 12 days and d in 24 days how much did c receive if all the 4 work together Two varieties of rice are mixed in the ratio 2 : 3 and sold at Rs. 22 per Kg, resulting in a profit of 10%. If the cost of the smaller quantity be Rs. 14 per kg, then what is the cost of the larger quantity(per kg )?