Shared setup (chef and ingredients): A chef is preparing a recipe using four ingredients out of six liquids. Two of these ingredients must come from the taste group A, B and C, and the other two must come from the group W, X, Y and Z. Three combinations are never allowed: B with W, C with Y, and Y 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
Shared setup (chef and ingredients): A chef is preparing a recipe using four ingredients out of six liquids. Two of these ingredients must come from the taste group A, B and C, and the other two must come from the group W, X, Y and Z. Three combinations are never allowed: B with W, C with Y, and Y 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
Show Hint
- I and II only
- II and III only
- I, II and III only
- II only
The Correct Option is B
Solution and Explanation
If C is used, the taste pair could be A and C, or B and C. With A and C, nothing blocks W, so W could be added. But with B and C, the B-W rule blocks W outright. Since using C does not always force W in, statement I is not always true.
Step 2: Test statement II.
If Y is used, the C-Y rule removes C from the taste pair. With only A and B left as taste ingredients, both A and B get used, so B is always in the mix whenever Y is used. Statement II is always true.
Step 3: Test statement III.
If C is not used, the taste pair must be A and B, the only pair left from A, B, C once C drops out. Since B is now always used, the B-W rule blocks W every single time. So whenever C is left out, W is always left out too. Statement III is always true.
Final Answer:
Statements II and III always hold, statement I does not. \[ \boxed{\text{II and III only}} \]
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Shared setup (chef and ingredients): A chef is preparing a recipe using four ingredients out of six liquids. Two of these ingredients must come from the taste group A, B and C, and the other two must come from the group W, X, Y and Z. Three combinations are never allowed: B with W, C with Y, and Y with Z.
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I. Using Y and W together
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III. Using W, X and Z together
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