Comprehension
Following table shows the percentage population of six states below poverty line and proportion of male and female.
State% Population below poverty lineProportion of male & female
Below poverty lineAbove poverty line
M: FM:F
A162:33:4
B104:35:2
C143:42:3
D205:24:3
E254:12:1
F202:34:1
Question: 1

If the total population of state A is 5000 then what is the no. of females above poverty line in state A?

Updated On: Aug 20, 2025
  • 2000
  • 2400
  • 2600
  • data inadequate
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The Correct Option is B

Solution and Explanation

To determine the number of females above the poverty line in State A, we follow these steps:
  1. Find the total population below the poverty line:
    • The percentage of the population below the poverty line in State A is 16%.
    • Total number of people below poverty line = 16% of 5000 = 0.16 × 5000 = 800.
  2. Calculate the number of females below the poverty line:
    • The ratio of males to females below the poverty line is 2:3.
    • Females below poverty line = (3/5) × 800 = 480.
  3. Find the total population above the poverty line:
    • Total population above poverty line = 5000 - 800 = 4200.
  4. Calculate the number of females above the poverty line:
    • The ratio of males to females above the poverty line is 3:4.
    • Females above poverty line = (4/7) × 4200 = 2400.
Therefore, the number of females above the poverty line in State A is 2400.
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Question: 2

If the population of C and D together is 20000 what is the total no. of females below poverty line in the above states?

Updated On: Aug 20, 2025
  • 5000
  • 6000
  • 7200
  • NOTA
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The Correct Option is D

Solution and Explanation

The problem requires us to find the total number of females below the poverty line in the states C and D, given their combined population is 20,000.
  1. Identify the percentage of the population below the poverty line in each state from the table. For State C, it is 14%, and for State D, it is 20%.
  2. Calculate the total number of people below the poverty line in both states:
    • Population below poverty line in C = 14% of the population of C
    • Population below poverty line in D = 20% of the population of D
  3. Use the given male-to-female ratios below the poverty line for each state:
    • C has a male-to-female ratio of 3:4
    • D has a male-to-female ratio of 5:2
  4. Given that the total population of C and D is 20,000, we need to express this:
    Let x be the population of state C, then population of state D is 20,000 - x.
  5. Calculate the number of females below the poverty line:
    • From State C:
      Females = \( \frac{4}{3+4} \times 0.14 \times x = \frac{4}{7} \times 0.14 \times x \)
    • From State D:
      Females = \( \frac{2}{5+2} \times 0.20 \times (20,000-x) = \frac{2}{7} \times 0.20 \times (20,000-x) \)
  6. Combine these values to determine the total number of females from both states:
    Total females = \( \frac{4}{7} \times 0.14 \times x + \frac{2}{7} \times 0.20 \times (20,000-x) \)
  7. After solving this equation, no value matches the given options conclusively without the specific values for x, as they are not directly provided.
Therefore, none of the provided options (5000, 6000, 7200) accurately solve the problem based on the given method and steps.
The correct answer is: NOTA (None of the Above)
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Question: 3

If the population of males below poverty line in state C is 6000 & state E 1000 then what is the ratio of the total population of state C & E is

Updated On: Aug 20, 2025
  • 2:1
  • 3:5
  • 11:5
  • NOTA
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The Correct Option is D

Solution and Explanation

The objective is to determine the ratio of the total populations of states C and E given the male populations below the poverty line. We will use the table data to find total populations.
Step-by-step solution:
  1. Extract data: For state C, the percentage of population below poverty line is 14% with a male-to-female ratio of 3:4; for state E, it's 25% with a male-to-female ratio of 4:1.
  2. Calculating total population of state C: Since males below the poverty line in state C is 6000 and the male-to-female ratio is 3:4, the number of females below poverty is (6000/3) x 4 = 8000. Total below poverty line = 6000 + 8000 = 14000, which is 14% of the total population. Therefore, total population of state C = 14000 / 0.14 = 100000.
  3. Calculating total population of state E: Males below the poverty line in state E is 1000 with a male-to-female ratio of 4:1, the number of females below poverty is (1000/4) x 1 = 250. Total below poverty line = 1000 + 250 = 1250, which is 25% of the total population. Therefore, total population of state E = 1250 / 0.25 = 5000.
  4. Finding ratio: The total population ratio of state C to state E is 100000:5000, which simplifies to 20:1.
  5. Conclusion: None of the given options match the correct ratio. Hence, the answer is NOTA (None of the Above).
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Question: 4

If in state F population of females below poverty line is 16000, then what is the population of males below poverty line in that state?

Updated On: Aug 20, 2025
  • 8000
  • 6000
  • 12000
  • NOTA
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The Correct Option is D

Solution and Explanation

To find the population of males below the poverty line in state F, we can use the given data and follow these steps:
  1. From the table, we know the proportion of males to females below the poverty line in state F is 2:3.
  2. We are given that the population of females below the poverty line in state F is 16,000.
  3. Let the population of males below the poverty line be x.
  4. According to the proportion 2:3, we have the ratio equation: \( \frac{x}{16000} = \frac{2}{3} \).
  5. Cross-multiplying, we get: \( 3x = 2 \times 16000 \).
  6. Solving for x, we have:
    \( 3x = 32000 \)
    \( x = \frac{32000}{3} \)
    \( x = 10666.67 \).
  7. This value is not an integer, suggesting the options provided do not match the result.
  8. Therefore, the correct answer is NOTA (None of the Above).
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