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A chef is trying a recipe for a tasty ice cream using four ingredients. He can choose from three liquids for taste which are labeled A, B and C which are stable in nature and the choice for flavor can be from four liquids which are labeled W, X, Y and Z. For the new ice cream recipe to be tasty, there must be two liquids from the taste giving liquids. Also certain liquids cannot be mixed because of their reactions which makes it unhealthy for human consumption and the same is given below B cannot be mixed with W C cannot be mixed with Y Y cannot be mixed with Z
Which of the following must always be true ?
I. If C is used W must be added
II. If Y is used B must be added
III. If C is not used W cannot be added
Let us analyze statement 1:
If C is used with B, we cannot add Y and W because of the unhealthy effects stated. But we can use X and Z.
$$\therefore\ $$ Statement 1 is not always true.
Let us analyze statement 2:
If Y is used, we cannot use C for health reasons. But since we have to use 2 taste giving liquids, B has to be used with A.
$$\therefore\ $$ Statement 2 is always true.
Let us analyze statement 3:
If C is not used, we have to use A and B together and B cannot be mixed with W.
$$\therefore\ $$ Statement 3 is always true.
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