Discrete Maths : GATE GURU TEST

Question

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Ans should be (II) only right? or should it be (II) and (III)

According to me only II is correct as in III we are defining another variable altogether, though we know that x is dog.

Any help will be highly appreciated.

Comments

2 is correct but Why not 3 ?

what if both x,y refers to a dog.

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we are already using ine variable to define dog, can we use another?

And after how many points i will be able to get rid of this-- 

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Its making conversation very tough