Following diagram depicts the frequency distribution of the scores in S, F and C of 10 countries - Amda, Benga, Calla, Delma, Eppa, Varsa, Wanna, Xanda, Yanga and Zoorna;
Further, the following are known:
1. Amda and Calls jointly have the lowest total score, 7, with identical scores in all the three parameters.
2. Zooma has a total score of 17.
3. All the 3 countries, which are categorized as happy, have the highest score in exactly one parameter.
What is Amda's score in F?
Correct Answer: 1
Solution and Explanation
The provided information can be depicted in the following table.
Amda's Score Determination
Step 1: Recap of A and C's total
We know:
- A and C jointly obtained a total score of 7.
- They had equal scores in all parameters.
Possible equal-score distributions are: \[ (1, 2, 4) \quad \text{or} \quad (3, 3, 1) \]
Step 2: Zooma’s fixed distribution
Zooma’s total score is 17. Since each country in the happy category secured the highest score in exactly one parameter, Zooma can have: \[ F = 7, \quad S = 6, \quad C = 4 \] Why this works:
- 7 in S and 6 in C would belong to other countries’ top scores, so they are not assigned to Zooma.
- Distribution \( (7, 7, 5) \) is invalid because no country scored 5 in C.
Step 3: Possible distributions for Amda
Given the remaining scoring rules, Amda can only have: \[ (3, 3, 1) \quad \text{or} \quad (4, 2, 1) \]
Step 4: Restriction on the score of 1
Observation: No other parameter (S or C) has a score of 1 for two different countries. Thus, the score of 1 for Amda must occur in **F**.
Final Conclusion:
Amda’s possible score distributions are: \[ (F, S, C) = (1, 3, 3) \quad \text{or} \quad (1, 4, 2) \] with \(F = 1\) being the fixed point across both cases.
What is Zooma's score in S?
Correct Answer: 6
Solution and Explanation
The provided information can be depicted in the following table.
Determining Zooma’s Scores
Step 1: Joint score of A and C
We know:
- A and C jointly obtained a total score of 7 in all parameters.
- Their scores in each parameter were equal.
Thus, the possible equal-score combinations are: \[ (1, 2, 4) \quad \text{or} \quad (3, 3, 1) \]
Step 2: Zooma’s total score constraint
Zooma’s total score is: \[ F + S + C = 17 \] Zooma is in the "happy" category, and each happy country scored the highest in exactly one parameter.
Step 3: Excluding impossible score distributions
- If Zooma had 7 in S and 6 in C, these would be the top scores for other countries, which is not allowed for Zooma.
- The combination \( (7, 7, 5) \) is impossible because no country scored a 5 in C.
Step 4: Corrected assignment
From earlier deductions and category rules, Zooma’s score in C is fixed at: \[ \boxed{C = 6} \] Given the total of 17, the remaining F and S scores must sum to: \[ F + S = 11 \] and must follow the "highest score in exactly one parameter" rule for Zooma.
Final Conclusion:
Zooma’s scores are consistent with: \[ F = 7, \quad S = 4, \quad C = 6 \] or another valid split of \(F + S = 11\) satisfying the category constraints.
Benga and Delma, two countries categorized as happy, are tied with the same total score. What is the maximum score they can have?
- 14
- 15
- 16
- 17
The Correct Option is B
Solution and Explanation
The provided information can be depicted in the following table.
A and C jointly obtained a total score of 7, with equal scores in all these parameters. Therefore, the possible combinations are either 1, 2, and 4 or 3, 3, and 1. Since Zooma has a score of 17, and all three countries in the happy category secured the highest score in exactly one parameter, Zooma can have a score of 7 in F, 6 in S, and 4 in C. This is because a score of 7 in S and 6 in C would be the scores of the other two countries, and Zooma cannot have a distribution of 7, 7, and 5, as there is no country that scored a 5 in C.
In the provided table, Zoom achieved the highest scores with 7 in F, 6 in S, and 4 in C. The optimal remaining scores for Benga and Dalma could be:
As it is given that both had the same total score, it can only be 15 for both, i.e., Benga’s score in S or F was one less than the maximum possible.
If Benga scores 16 and Delma scores 15, then what is the maximum number of countries with a score of 13?
- 0
- 1
- 2
- 3
The Correct Option is B
Solution and Explanation
The provided information can be depicted in the following table.
Step 1: Scores of A and C
We are told that:
- A and C jointly obtained a total score of 7.
- They had equal scores in all parameters.
Possible equal-score combinations across the parameters are: \[ (1, 2, 4) \quad \text{or} \quad (3, 3, 1) \]
Step 2: Constraints from the "happy" category
- Zooma’s total score = 17. - All three countries in the happy category achieved the highest score in exactly one parameter.
Step 3: Assigning Zooma's scores
If Zooma is in the happy category, then:
- Zooma can have 7 in F, 6 in S, and 4 in C.
- A 7 in S and 6 in C would correspond to other countries' maximum scores, so Zooma can't have both of them.
- A distribution of \( (7, 7, 5) \) is not possible because there is no country that scored a 5 in C.
Step 4: Considering total scores
Given: \[ \text{Zoom} = 17, \quad \text{Benga} = 16, \quad \text{Delma} = 15 \] This distribution fits the conditions derived above and satisfies the total score requirements.
Final Deduction:
\[ \boxed{\text{Zooma: } (F=7, \ S=6, \ C=4), \quad \text{Benga: } 16, \quad \text{Delma: } 15} \]
If Benga scores 16 and Dalma scores 15 (as illustrated in the previous solution), the highest possible values that remain are:
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- The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.- CAT - 2025
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