Explanation for the Analytical Reasoning Quiz 03

This is the detailed explanation for the Analytical Reasoning Quiz 03 .

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Blending Rules Recap:

1. If Livana is used, then Novajana must be used in twice the amount as Livana.

2. If Mathia is used, then Oxia must be used in equal quantity.

3. A brand cannot contain both Novajana and Oxia.

4. Oxia and Piask cannot be used together.

5. If Piask is used, its quantity must be greater than the sum of all other tea leaves in the blend.

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Question 1: Which is an acceptable brand?

1. Five parts Piask, five parts Mathia
   Piask is not greater than the others (equal to Mathia), so Rule 5 is violated. Not acceptable.

2. Three parts Novajana, three parts Livana
   Livana requires Novajana to be twice its amount (should be 6). Rule 1 is violated. Not acceptable.

3. One part Livana, one part Piask
   Livana used, but no Novajana. Rule 1 violated. Not acceptable.

4. Four parts Oxia, four parts Mathia
   Mathia and Oxia are equal (Rule 2), and no violation of any other rule. This is acceptable.

5. Two parts Mathia, two parts Livana
   Mathia used without Oxia (Rule 2 violated), and Livana used without Novajana (Rule 1 violated). Not acceptable.

Correct answer: Four parts Oxia, four parts Mathia

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Question 2: Adding more Novajana makes which brand conformable?

1. 2 Mathia, 2 Novajana, 2 Piask
   Piask not dominant. Rule 5 violated. Also, Mathia without Oxia. Rule 2 violated. Not acceptable.

2. 2 Mathia, 1 Novajana, 4 Piask
   Piask is dominant. Rule 5 is satisfied. Mathia without Oxia violates Rule 2, but if Mathia is removed, the blend is fixable by adding more Novajana. Acceptable.

3. 2 Novajana, 1 Oxia, 3 Piask
   Novajana and Oxia together. Rule 3 violated. Not acceptable.

4. 1 Mathia, 1 Novajana, 1 Piask
   Mathia without Oxia. Rule 2 violated. Not acceptable.

5. 1 Livana, 1 Novajana, 5 Piask
   Livana requires Novajana to be twice (should be 2). Add 1 Novajana → Rule 1 satisfied. Piask is dominant. Acceptable.

Correct answer: Two parts Mathia, one part Novajana, four parts Piask

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Question 3: What should we add to 2 Novajana + 1 Piask to make it conformable?

1. Add 2 Piask
   Final: 2 Novajana + 3 Piask. Piask is now greater than the rest. Rule 5 satisfied. Acceptable.

2. Add 1 Oxia
   Novajana and Oxia together. Rule 3 violated. Not acceptable.

3. Add 1 Livana
   Livana = 1 requires Novajana = 2. Rule 1 satisfied. But Piask still less than total others → Rule 5 violated. Not acceptable.

4. Add 2 Novajana
   Final: 4 Novajana + 1 Piask. Piask not dominant. Rule 5 violated. Not acceptable.

5. Add 1 Mathia
   Mathia without Oxia. Rule 2 violated. Not acceptable.

Correct answer: Two parts Piask

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Question 4: Which combination cannot be used together?

1. Piask and Novajana — Allowed

2. Mathia and Oxia — Required together

3. Livana and Piask — No restriction

4. Livana and Novajana — Allowed if correct ratio

5. Livana and Mathia — No restriction

Correct answer: None (all combinations can be used together)

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Question 5: Which brand can be made acceptable by removing one or more tea types?

1. 2 Mathia, 1 Novajana, 2 Oxia, 3 Piask
   Oxia and Piask together (Rule 4), Novajana and Oxia together (Rule 3). Removing Oxia (or Piask) fixes this. Acceptable with changes.

2. 1 Livana, 2 Novajana, 1 Oxia, 4 Piask
   Novajana and Oxia together (Rule 3). Remove Oxia → Acceptable.

3. 2 Livana, 2 Novajana, 1 Oxia, 2 Piask
   Novajana and Oxia together. Also, Livana = 2, Novajana = 2 (should be 4). Remove Oxia, adjust Novajana → Acceptable.

4. 1 Livana, 1 Mathia, 1 Novajana, 4 Piask
   Livana needs Novajana = 2. Mathia needs Oxia. Both are missing. Remove Mathia or Livana and adjust → Acceptable.

5. 1 Livana, 1 Mathia, 1 Oxia, 1 Piask
   Oxia and Piask together. Rule 4 violated. Remove Piask → Acceptable.

Correct answer: Two Mathia, One Novajana, Two Oxia, Three Piask (remove Oxia or Piask)