Shared setup for this question and the next (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.
If the chef rejected B because of its possible side effects but decided to use Z, which is a possible combination of the four ingredients in the recipe?
Shared setup for this question and the next (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.
If the chef rejected B because of its possible side effects but decided to use Z, which is a possible combination of the four ingredients in the recipe?
Show Hint
- A, C, W and Z
- A, X, Y and Z
- A, W, X and Z
- A, C, Y and Z
The Correct Option is A
Solution and Explanation
The chef always picks two ingredients from A, B, C and two from W, X, Y, Z, four in total. So whichever two get dropped from the six, exactly two from each group survive.
Step 2: Use the rejection of B.
Once B is rejected, the only two ingredients left in the taste group are A and C, so both A and C must be in the final mix.
Step 3: Remove options that leave out C.
Option B (A, X, Y and Z) and option C (A, W, X and Z) do not contain C at all, so neither can be right once B is dropped and C is forced in.
Step 4: Apply the C and Y rule to what is left.
That leaves option A (A, C, W and Z) and option D (A, C, Y and Z). The rule says C and Y can never be used together, so option D is out because it pairs C with Y.
Final Answer:
Only A, C, W and Z clears every rule. \[ \boxed{\text{A, C, W and Z}} \]
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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.
Which of the following combination of liquids is impossible?
I. Using Y and W together
II. Using B and C together
III. Using W, X and Z togetherShared 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
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