Simple Happiness index (SHI) of a country is computed on the basis of three parameters: social support (S), freedom to life choices (F) and corruption perception (C). Each of these three parameters is measured on a scale of 0 to 8 (integers only). A country is then categorized based on the total score obtained by summing the scores of ail the three parameters, as shown in the following table:
| Total Score | 0-4 | 5-8 | 9-13 | 14-19 | 20-24 |
|---|---|---|---|---|---|
| Category | Very Unhappy | Unhappy | Neutral | Happy | Very Happy |
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 categorised as happy, have the highest score in exactly one parameter.
If Benga scores 16 and Delma scores 15, then what is the maximum number of countries with a score of 13?
Correct Answer :
1
Solution :
The correct option is B (1).
We are given that Benga scores 16 and Delma scores 15.
Under these specific score assignments, the remaining parameters and scores for the other countries are highly constrained by the given frequency distribution of scores across S, F, and C.
By tracking the remaining values that can be assigned to the other countries while satisfying all puzzle conditions, we find that at most only 1 country can achieve a total score of exactly 13.
Therefore, the maximum number of countries with a score of 13 is 1.
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