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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?

 

Option: 1

0


Option: 2

1


Option: 3

2


Option: 4

3


Answers (1)

best_answer

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        


 

 

Posted by

vishal kumar

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