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Table 1 shows the percentage of candidates who qualified from six states (A to F) in 2021 and 2022, with the male:female ratio. Table 2 shows the totals appeared and overall qualified percentage.

State2021 Qualified (%)2021 M:F2022 Qualified (%)2022 M:F
A185:42028:17
B163:1125:3
C127:51611:5
D1613:111515:11
E2513:122215:9
F138:11511:9
YearAppearedQualified (%)
202114200045
202218000052

What is the ratio of the number of female candidates who qualified from states A and C together in 2021 to the number of male candidates who qualified from the same two states in 2022?

A8307 : 21844
B8407 : 21944
C8307 : 21944 ✓ Correct
D8307 : 20894
Correct answer: (C) 8307 : 21944
Explanation

The ratio is 8307 to 21944, so the answer is 8307 : 21944.

Female qualifiers from A and C in 2021 use the 2021 total, state shares and female ratios.

That gives 5112 from A plus 3195 from C, which is 8307.

Male qualifiers from A and C in 2022 use the 2022 total, state shares and male ratios.

That gives 11648 from A plus 10296 from C, which is 21944.

So the ratio is 8307 to 21944.

Each part carefully applies the correct year, state percentage and gender split before forming the ratio.

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