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

• A. 8000
• B. 6000
• C. 12000
• D. NOTA

Hint:

Use the 2:3 male to female ratio below poverty line in F to convert the given female count of 16000 into a male count, then compare with the options.

Answer 1

The Correct Option is D

Step 1: Use the male to female ratio directly on the given female count instead of solving for total population first.
In state F, the M:F ratio below the poverty line is $2:3$. This means for every 3 units of females, there are 2 units of males, so the male count is $\frac{2}{3}$ of the female count in this same group.

Step 2: Apply this multiplier to the known female count.
Females below poverty line in F are 16000. So males below poverty line $= \frac{2}{3} \times 16000 = \frac{32000}{3} = 10666.66$.

Step 3: Compare with the answer choices.
The computed value 10666.66 is not a whole number of people, and it does not equal 8000, 6000, or 12000. A real population count must be a whole number, so none of the numeric options can be exactly correct.

Final Answer:
Since the male count below poverty line works out to about 10666.66, which fits none of the listed numbers, the correct choice is NOTA. \[ \boxed{10666.66 \Rightarrow \text{NOTA}} \]