Simple Happiness Index

CAT 2017 Slot 1 · DILR · Hard · Data Interpretation

All CAT 2017 Slot 1 questionsMore Data Interpretation questionsAll CAT DILR

Passage / data set

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 all the three parameters, as shown in the following table:

Total Score0-45-89-1314-1920-24
CategoryVery UnhappyUnhappyNeutralHappyVery 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 Zooma:

Frequency distribution of scores:

  • Score 1: S = 0, F = 2, C = 1
  • Score 2: S = 0, F = 1, C = 3
  • Score 3: S = 3, F = 2, C = 4
  • Score 4: S = 3, F = 1, C = 1
  • Score 5: S = 2, F = 3, C = 0
  • Score 6: S = 1, F = 0, C = 1
  • Score 7: S = 1, F = 1, C = 0

Further, the following are known:

  1. Amda and Calla 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 categorized as happy, have the highest score in exactly one parameter.

Question 1 of 4

What is Amda's score in F?

Answer

1

Explanation

Lowest score = 7 for Amda and Calla. The only combination of scores that sums to 7 and matches frequencies is S=3, F=1, C=3. Thus Amda's score in F is 1.

Question 2 of 4

What is Zooma's score in S?

Answer

6

Explanation

Zooma's total score is 17. The parameters that sum to 17 are S=6, F=7, C=4. Thus Zooma's score in S is 6.

Question 3 of 4

Benga and Delma, two countries categorized as happy, are tied with the same total score. What is the maximum score they can have?

  1. A.

    14

  2. B.

    15

  3. C.

    16

  4. D.

    17

Answer

B

Explanation

The maximum possible tied total score for Benga and Delma under the Happy category (14-19) constraints is 15.

Question 4 of 4

If Benga scores 16 and Delma scores 15, then what is the maximum number of countries with a score of 13?

  1. A.

    0

  2. B.

    1

  3. C.

    2

  4. D.

    3

Answer

B

Explanation

Allocating the available parameter scores among the remaining countries leaves at most 1 country with a score of 13.

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace