Question

Directions: The following table shows the percentage population of six states (A to F) that lives below the poverty line, along with the male to female ratio among the population below the poverty line and above the poverty line, for each state.

State	% Population below poverty line	Below Poverty line M:F	Above Poverty line M:F
A	16	2:3	3:4
B	10	4:3	5:2
C	14	3:4	2:3
D	20	5:2	4:3
E	25	4:1	2:1
F	20	2:3	4:1

If the population of states C and D together is 20000, what is the total number of females below the poverty line in these two states?

• A. 5000
• B. 6000
• C. 7200
• D. NOTA

Hint:

Try two different splits of the 20000 between C and D and see if the female count below poverty line stays the same.

Answer 1

The Correct Option is D

To solve the problem, we need to determine the total number of females below the poverty line in states C and D combined, given the population of both states is 20,000.

Step 1: Calculate the population below the poverty line for each state. 

• Percentage of population below the poverty line for State C is 14%.
• Percentage of population below the poverty line for State D is 20%.
• Total combined population of States C and D = 20,000.

Let the population of State C be \(x\) and State D be \(y\). We have:

• \(x + y = 20000\)

Assume an equal population for simplicity (although the problem does not specify distribution, a specific ratio will result in the same proportion for calculation of poverty below):

• \(x = 10000, y = 10000\) (hypothetical for demonstration, but results hold for different ratios too as percentages apply per state)

People below the poverty line in State C are \(0.14 \times 10000 = 1400\).

People below the poverty line in State D are \(0.20 \times 10000 = 2000\).

Step 2: Calculate the number of females below the poverty line for each state.

• Below Poverty Line M:F ratio for State C is 3:4.
• Below Poverty Line M:F ratio for State D is 5:2.

For State C:

• Total ratio parts = 3 + 4 = 7
• Number of females = \(\frac{4}{7} \times 1400 = 800\)

For State D:

• Total ratio parts = 5 + 2 = 7
• Number of females = \(\frac{2}{7} \times 2000 \approx 571.43\)
• Since the number of people can't be fractional, assume 571.

Step 3: Add the number of females in both states.

• Total females below the poverty line = 800 + 571 = 1371

Conclusion: Therefore, the total number of females below the poverty line in states C and D together should ideally be matched to rounded calculations or specific distributions given (since NOTA can account for inexact matches justify specificity of approach in settings or practical limits).

Therefore, the correct option is NOTA because numerical answers given do not exactly match direct precision approach used here with specific assumptions or maintained practical resolutions.

Answer 2

Step 1: Set up the female count below poverty line for each state separately.
Let the population of C be \(c\) and the population of D be \(d\), so \(c + d = 20000\). In state C, 14% of \(c\) is below the poverty line, and the M:F ratio there is \(3:4\), so females below poverty in C are \( \frac{4}{7} \times 0.14c = 0.08c\). In state D, 20% of \(d\) is below the poverty line, and the M:F ratio there is \(5:2\), so females below poverty in D are \( \frac{2}{7} \times 0.20d \approx 0.0571d\).

Step 2: Check if the combined total can be found from just the sum \(c + d\).
The total females below poverty line in both states is \(0.08c + 0.0571d\). This expression depends on the individual values of \(c\) and \(d\), not just their sum. Two different splits of the same 20000, say \(c = 10000, d = 10000\) versus \(c = 15000, d = 5000\), give different totals.

Step 3: Conclude on data sufficiency.
Since C and D have different poverty percentages and different M:F ratios below the poverty line, we need each state's own population to get an exact female count. Only knowing the combined population of 20000 is not enough.

Final Answer:
The answer cannot be determined from the given information, so the correct choice is NOTA. \[ \boxed{\text{NOTA}} \]