Study the given table and answer the question that follows.

The given table shows the number of candidates who appeared (both male and female) in a Public Examination and the percentage of those who qualified in the examination from two states X and Z. Few values are missing in the table (indicated by ------). You will be required to fill them up according to the question.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746986644/aptidude_questions/wlb2wheyiq7deg0fgu0b.png)

Out of the number of qualified candidates from State X in 2010, the ratio of male to female candidates is 5 : 7. If the number of female qualified candidates from State X in 2010 is 168, what is the number of appeared candidates (both male and female) from State X in 2010?

Question

Study the given table and answer the question that follows.

The given table shows the number of candidates who appeared (both male and female) in a Public Examination and the percentage of those who qualified in the examination from two states X and Z. Few values are missing in the table (indicated by ------). You will be required to fill them up according to the question.

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1746986644/aptidude_questions/wlb2wheyiq7deg0fgu0b.png)

Out of the number of qualified candidates from State X in 2010, the ratio of male to female candidates is 5 : 7. If the number of female qualified candidates from State X in 2010 is 168, what is the number of appeared candidates (both male and female) from State X in 2010?

Accepted Answer

Step 1: Given the ratio of male to female qualified candidates from State X in 2010 is 5:7.

Step 2: Number of female qualified candidates = 168.
   
Step 3: Let the number of male qualified candidates be 5x and female qualified candidates be 7x.

Step 4: Since female qualified candidates = 168, 7x = 168 => x = 168 / 7 = 24.

Step 5: Number of male qualified candidates = 5x = 5 * 24 = 120.

Step 6: Total qualified candidates from State X in 2010 = male + female = 120 + 168 = 288.

Step 7: Percentage of qualified candidates from State X in 2010 is 60%.

Step 8: Let the number of appeared candidates from State X in 2010 be N.

Step 9: Qualified candidates = 60% of N => 0.60 * N = 288 => N = 288 / 0.60 = 480.

Step 10: However, the options include 480 and 640. Let's verify if 480 is correct.

Step 11: The calculation shows N = 480, but let's double-check the ratio and given data.

Step 12: The ratio of male to female qualified candidates is 5:7, female qualified candidates = 168.

Step 13: Total qualified candidates = 5 + 7 = 12 parts.

Step 14: Each part = 168 / 7 = 24.

Step 15: Total qualified candidates = 12 * 24 = 288.

Step 16: Qualified candidates = 60% of appeared candidates => 0.60 * N = 288 => N = 288 / 0.60 = 480.

Therefore, the number of appeared candidates from State X in 2010 is 480.

Hence, the correct answer is 480.

Answer

Answer

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