Question

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 ?

• A. A, B and W
• B. A, B and X
• C. A, B and Z
• D. B, C and X
• A. A, C, W and Z
• B. A, X, Y and Z
• C. A, W, X and Z
• D. A, C, Y and Z
• A. I only
• B. II only
• C. III and I only
• D. II and I only
• A. I and II only
• B. II and III only
• C. I, II and III only
• D. II only

Answer 1

The Correct Option is B

To determine which ingredients must be part of the recipe along with flavor Y, we need to analyze the compatibility based on the given constraints:

1. The chosen flavor is Y.
2. There must be two ingredients from the taste-giving liquids: A, B, or C.
3. Constraints:
   • B cannot be mixed with W. 
   • C cannot be mixed with Y.
   • Y cannot be mixed with Z.

Since Y is already selected, C cannot be chosen because it cannot be mixed with Y. Hence, the possibilities for the taste-giving liquids are A and B.

As for additional flavor ingredients, we know from the constraints:

• Y cannot be mixed with Z, so Z is not an option.
• The remaining option from the flavor list that has no conflict with Y is X.

 

Therefore, the complete list of ingredients that must be part of the recipe includes: A, B, and X.

Answer 2

To determine a possible combination of the ingredients for the ice cream recipe, we analyze the restrictions and required conditions:

1. The chef needs two liquids from the taste-giving group: A, B, or C.
2. Flavor options are W, X, Y, and Z.
3. Constraints regarding mixing of certain liquids are:
   • B cannot be mixed with W.
   • C cannot be mixed with Y.
   • Y cannot be mixed with Z.

Given that B is rejected, we focus on combinations not involving B:

• Ingredients: A, C, W, and Z.
• Reasoning:
  • A and C are chosen from the taste-giving liquids.
  • W and Z are compatible flavors.
    B is not used, avoiding the restriction of B with W.
  • C and Y are not combined, satisfying the second restriction.
  • Y is not selected, eliminating the Y and Z conflict.

Thus, the possible combination of ingredients, satisfying all constraints, is:

A, C, W, and Z

Answer 3

To determine which combinations of liquids are impossible, we need to analyze the constraints given for mixing:

• B cannot be mixed with W
• C cannot be mixed with Y
• Y cannot be mixed with Z

Now, evaluate each given combination:

1. Using Y and W together: This combination is possible since there are no constraints preventing Y and W from being mixed.
2. Using B and C together: No restriction is provided about mixing B and C directly, so this combination is possible.
3. Using W, X, and Z together: Since there is a restriction that Y cannot be mixed with Z and only includes W, X, and Z, this particular combination seems possible in isolation. However, this does not violate the restricted pairs directly unless we consider the other factors that may involve Y. In any extends consideration, this could be the trick choice targeting to analyze all options.

Thus, the impossible combinations according to the restrictions involve I and III. Therefore, the answer is: III and I only.

Answer 4

To determine which statements are always true, we need to analyze each one based on the given conditions.

Analysis: 

• Statement I: If C is used, W must be added.
  Analysis: There is no given rule that mandates W must be added when C is used. Thus, Statement I is not necessarily true.
• Statement II: If Y is used, B must be added.
  Analysis: The original information allows for B and Y to co-exist without any mutual exclusivity mentioned. Thus, if Y is used, adding B remains a possibility, making Statement II potentially true.
• Statement III: If C is not used, W cannot be added.
  Analysis: The condition provided states B cannot be mixed with W. If C is not used, W being added would depend on the presence of B for a stable mixture. Therefore, Statement III holds true given no other conditions directly enforce C for W's use.

Conclusion: Based on the analysis of the statements:

• Statements II and III align with the logical and conditional framework provided. Hence, the correct answer is "II and III only".