Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Data Interpretation & Stats

Question:

Study the given graph and table and answer the following question.

Data of different states regarding population of states in the year 1998

Total population of the given states = 32760000

If in the year 1998, there was an increase of 20% in the population of Goa and 10% in the population of Arunachal Pradesh compared to the previous year, then what was the ratio of populations of Goa and Arunachal Pradesh in 1997?

Options:

7 : 11

11 : 25

4 : 5

25 : 11

Correct Answer:

11 : 25

Explanation:

20% = \(\frac{1}{5}\)  , 10% = \(\frac{1}{10}\)  , 12 % = \(\frac{3}{25}\) 

& 25% = \(\frac{1}{4}\)

Population of Goa in 1997 =  \(\frac{5}{6}\) × \(\frac{3}{25}\) × 3276000

= 327600

Production of Arunachal Pradesh in 1997 = \(\frac{10}{11}\) × \(\frac{1}{4}\) × 3276000

= \(\frac{10}{11}\) × 819000

Required ratio = 327600 : \(\frac{10}{11}\) × 819000

= 11 : 25