Question:
Using the information given below, answer the question: A chef is trying a recipe for a tasty ice cream using four ingredients. He can choose from three liquids for taste, labeled A, B and C, which are stable in nature, and the choice for flavor can be from four liquids 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 (A, B, C) and two liquids from the flavor giving liquids (W, X, Y, Z). Also, certain liquids cannot be mixed because of reactions that make the mix unhealthy for human consumption: B cannot be mixed with W, C cannot be mixed with Y, and Y cannot be mixed with Z.
If the chef calculated that Y is the most important flavor and must be used in the recipe, which other ingredients must be part of the recipe?
Using the information given below, answer the question: A chef is trying a recipe for a tasty ice cream using four ingredients. He can choose from three liquids for taste, labeled A, B and C, which are stable in nature, and the choice for flavor can be from four liquids 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 (A, B, C) and two liquids from the flavor giving liquids (W, X, Y, Z). Also, certain liquids cannot be mixed because of reactions that make the mix unhealthy for human consumption: B cannot be mixed with W, C cannot be mixed with Y, and Y cannot be mixed with Z.
If the chef calculated that Y is the most important flavor and must be used in the recipe, which other ingredients must be part of the recipe?
Show Hint
Fixing Y removes both C and Z straightaway, which forces A and B for taste and X as the only safe second flavor.
Updated On: Jul 16, 2026
- A, B and W
- A, B and X
- A, B and Z
- B, C and X
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Note the fixed sizes of the recipe.
Every recipe needs exactly 2 liquids from the taste group {A, B, C} and exactly 2 liquids from the flavor group {W, X, Y, Z}.
Step 2: Fix Y in the flavor group and check what it blocks.
Y must be used. The rules say C cannot be mixed with Y, and Y cannot be mixed with Z. So C and Z are both removed as soon as Y is chosen.
Step 3: Pick the taste liquids.
With C removed, the only 2 taste liquids left to choose from {A, B, C} are A and B, so both A and B must be used.
Step 4: Pick the second flavor liquid.
Y already fills one flavor slot. Z is removed (Step 2), so the second flavor liquid must come from W or X. The rule says B cannot be mixed with W, and B is already in the recipe (Step 3), so W is removed too. That leaves X as the only valid second flavor liquid.
Step 5: Assemble the full recipe.
Taste liquids: A and B. Flavor liquids: Y (given) and X (Step 4). Besides Y, the other three ingredients are A, B and X.
Final Answer:
A, B and X, option B.
Every recipe needs exactly 2 liquids from the taste group {A, B, C} and exactly 2 liquids from the flavor group {W, X, Y, Z}.
Step 2: Fix Y in the flavor group and check what it blocks.
Y must be used. The rules say C cannot be mixed with Y, and Y cannot be mixed with Z. So C and Z are both removed as soon as Y is chosen.
Step 3: Pick the taste liquids.
With C removed, the only 2 taste liquids left to choose from {A, B, C} are A and B, so both A and B must be used.
Step 4: Pick the second flavor liquid.
Y already fills one flavor slot. Z is removed (Step 2), so the second flavor liquid must come from W or X. The rule says B cannot be mixed with W, and B is already in the recipe (Step 3), so W is removed too. That leaves X as the only valid second flavor liquid.
Step 5: Assemble the full recipe.
Taste liquids: A and B. Flavor liquids: Y (given) and X (Step 4). Besides Y, the other three ingredients are A, B and X.
Final Answer:
A, B and X, option B.
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