Multiple choice

[CAT 2000] The table below shows the age-wise distribution of the population of Reposia. The number of people aged below 35 years is 400 million. Age group Percentage Below 15 yrs 30.00 15-24 17.75 25-34 17.00 35-44 14.50 45-54 12.50 55-64 7.10 65 and above 1.15 If the ratio of females to males in the 'below 15 years' age group is 0.96, then what is the number of females in that age group?

  1. 82.8 million

  2. 90.8 million

  3. 80 million

  4. 90 million
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

People below 35 = 30% + 17.75% + 17% = 64.75%. 64.75% of Total = 400 million. Total = 400 / 0.6475 = 617.76 million. Below 15 years = 30% of 617.76 = 185.33 million. Ratio F:M = 0.96. F / (F + F/0.96) = 0.96 / 1.96. F = 185.33 * (0.96 / 1.96) = 90.8 million.

AI explanation

The percentage of the population below 35 years is the sum of the percentages for the below 15, 15 to 24, and 25 to 34 age groups, which equals 30 plus 17.75 plus 17.00, or 64.75 percent. Since this equals 400 million people, the total population is 400 million divided by 0.6475, which is approximately 617.76 million. The population below 15 years old is 30 percent of this total, giving 185.33 million. Using the given female to male ratio of 0.96, the proportion of females is 0.96 divided by 1.96. Multiplying this proportion by 185.33 million yields approximately 90.8 million females.

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