In a national competitive examination, 35% of the total candidates were girls. The results revealed the following: 75% of the boys passed the exam. 80% of the girls passed the exam. Among all the candidates who passed, 20% were awarded a merit scholarship. Among all the candidates who failed, 10% were eligible to apply for secondary "recovery" test. If the number of candidates who were awarded a scholarship exceeds the number of candidates eligible for the recovery test by 2,605, what was the total number of candidates who appeared for the exam?

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The correct answer is 20,000. The correct answer is C) 20,000.Step-by-Step BreakdownAssume the total number of candidates is 100 units.1. Candidate DemographicsGirls: 35 units out of 100Boys: 65 units out of 1002. Passed and Failed CandidatesPassed Boys: 75 percent of 65 units is 48.75 unitsPassed Girls: 80 percent of 35 units is 28 unitsTotal Passed: 48.75 units plus 28 units is 76.75 unitsTotal Failed: 100 units minus 76.75 units leaves 23.25 units3. Scholarship and Recovery Test CandidatesMerit Scholarship: 20 percent of the 76.75 passed units is 15.35 unitsRecovery Test Eligible: 10 percent of the 23.25 failed units is 2.325 units4. Finding the Value of One UnitSubtracting the recovery test units from the scholarship units gives 13.025 units (15.35 minus 2.325).This difference represents 2,605 candidates.Dividing 2,605 by 13.025 gives 200 candidates per unit.5. Calculate Total CandidatesMultiplying 100 units by 200 candidates per unit gives 20,000 total candidates.

Answer

15,000

Answer

18,500

Answer

22,500

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