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KVPY SA Exam 2013 Question Paper

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Question : 65

Total: 80

There are three kinds of liquids X, Y, Z. Three jars J1,J2,J3 contain 100 ml of liquids X, Y, Z, respectively.
By an operation we mean three steps in the following order:
- stir the liquid in J1 and transfer 10 ml from J1 into J2;
- stir the liquid in J2 and transfer 10 ml from J2 into J3;
- stir the liquid in J3 and transfer 10 ml from J3 into J1.
After performing the operation four times, let x, y, z be the amounts of X, Y, Z, respectively, in J1 . Then

x > y > z
x > z > y
y > x > z
z > x > y

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