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 categorised based on the total score obtained by summing the scores of all 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 5, F and C of 10 countries - Amda, Benga, Calla, Delma, Eppa, versa, wanna, xanda, Yanga and Zooma:
Further, the following are known:
1. Amda and Calla jointly have the lowest total score, 7, with identical scores n 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.
Question : 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 question is asking for the maximum score that Benga and Delma can get. We know that Benga and Delma are both in the happy category, which means that they both have a total score of 17.
The best possible scores remaining for Benga and Delma are:
Benga: 7, 5, 3
Delma: 4, 5, 6
This gives a total score of 15 for both Benga and Delma. If Benga scores 17, then Delma can't score 17. Similarly, both can't score 18 or 16.
Therefore, the maximum score that Benga and Delma can get is 15.
Here is a table that summarizes the information:
Country |
S |
F |
C |
Total |
Benga |
7 |
5 |
3 |
15 |
Delma |
4 |
5 |
6 |
15 |