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 : 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 question is asking for the maximum number of countries with a score of 13. We know that Benga scores 16, and Delma scores 15. This leaves 17 - 16 - 15 = 2 points for the remaining countries.
The maximum possible values remaining are:
3 countries with a score of 3: This is possible if each country scores 1 in each of the parameters.
1 country with a score of 5: This is possible if one country scores 2 in each of the parameters, and the other two countries score 1 in each of the parameters.
Therefore, the maximum number of countries with a score of 13 is 3 or 1.
Here is a table that summarizes the information:
Country |
S |
F |
C |
Total |
Zooma |
6 |
7 |
4 |
17 |
Benga |
5 |
5 |
6 |
16 |
Delma |
7 |
5 |
3 |
15 |
Other countries |
3 |
3 |
2 |
3 |
Other countries |
5 |
1 |
1 |
7 |