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Group Question
Answer the following question based on the information given below.
The population details for five different states of a country are as given below. The total population of state C is four times the illiterate population of state D. The total population of state B is five times the illiterate population of state E. The ratio of the number of female literates and male illiterates in state E is 5 : 1. 
 
Q. For which state is the number of male illiterates as a percentage of the total population the highest?
  • a)
    A
  • b)
    B
  • c)
    C
  • d)
    D
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
For some states, since the number of total literates and the number of total male literates is known, the number of total female literates can be found by taking the difference.
For instance, for state A, number of female literates = 140 - 60 = 80 lakhs.
Similarly, the number of female literates in states C, D and E is respectively 52 lakhs, 54 lakhs and 80 lakhs.
Wherever the total illiterate population as a percentage of the total population is known and the actual literate population is known, the total population of the state can be found.
Literate population of state C is 108 lakhs and illiterate population is 25% of the total population.
Literate population is 75% of the total population.
The total population of C = 108 * (4/3) = 144 lakhs.
Using similar logic, the total population of A and E is respectively 200 lakhs and 200 lakhs.
Now, the total population of state C is four times the illiterate population of state D.
Total population of state D = 114 + 36 = 150 lakhs Now, the difference of the total population and the literate population gives the illiterate population for states A, C and E.
Therefore, the number of illiterates in A, C and E is respectively 60 lakhs, 36 lakhs and 30 lakhs.
The total population of state B is 5 times the illiterate population of state E.
Total population of state B = 30 x 5 = 150 lakhs The illiterate population of state B forms 16% of the total population of state B.
Total illiterate population of state B = 24 lakhs Literate population = 150 - 24 = 126 lakhs. Thus, the total population, total number of literates and total number of illiterates for each state are now known.
Now, the number of female literates in state B = 126 - 56 = 70 lakhs Thus, the number of female literates in each state is also known.
Thus, only the breakup of the male and female illiterates is to be found.
For states A, B, C and D, the number of female illiterates as a percentage of the total illiterates is known.
Since the total number of illiterates is known, the number of female illiterates can be found as shown below: For state A : 0.667 x 60 = 40 lakhs Using similar calculations, the number of female illiterates in states B, C and D is respectively 12 lakhs, 27 lakhs and 12 lakhs.
Number of male illiterates in a state = Total illiterates - Female illiterates For state A, number of male illiterates = 60 - 40 = 20 lakhs Similarly, the number of male illiterates in states B, C and D is respectively 12 lakhs, 9 lakhs and 24 lakhs.
The ratio of number of female literates of state E to the number of male illiterates of state E is 5 : 1.
The number of male illiterates of state E = 16 lakhs The number of female illiterates in state E = 30 - 16 = 14 lakhs
Therefore, the number of male illiterates as a percentage of the total population for each state is as shown below:
A : (20/200) * 100 = 10%
B : (12/150) x 100 = 8%
C : (9/144) x 100 = 6.25%
D : (24/150) x 100 = 16%
E : (16/200) x 100 = 8% Thus, this percentage is the highest for state D.
Hence, option 4.
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Group QuestionAnswer the following question based on the information given below.The population details for five different states of a country are asgiven below. The total population of state C is four times the illiterate population of state D. The total population of state B is five times the illiterate population of state E. The ratio of the number of female literates and male illiterates in state E is 5 : 1.Q. For which state is the number of male illiterates as a percentage of the total population the highest?a)Ab)Bc)Cd)DCorrect answer is option 'D'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.The population details for five different states of a country are asgiven below. The total population of state C is four times the illiterate population of state D. The total population of state B is five times the illiterate population of state E. The ratio of the number of female literates and male illiterates in state E is 5 : 1.Q. For which state is the number of male illiterates as a percentage of the total population the highest?a)Ab)Bc)Cd)DCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.The population details for five different states of a country are asgiven below. The total population of state C is four times the illiterate population of state D. The total population of state B is five times the illiterate population of state E. The ratio of the number of female literates and male illiterates in state E is 5 : 1.Q. For which state is the number of male illiterates as a percentage of the total population the highest?a)Ab)Bc)Cd)DCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.The population details for five different states of a country are asgiven below. The total population of state C is four times the illiterate population of state D. The total population of state B is five times the illiterate population of state E. The ratio of the number of female literates and male illiterates in state E is 5 : 1.Q. For which state is the number of male illiterates as a percentage of the total population the highest?a)Ab)Bc)Cd)DCorrect answer is option 'D'. Can you explain this answer?.
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