The given diagram shows the number of students who failed in an examination comprising papers in English, Hindi and Mathematics. The total number of students who took the test is 500. What is the percentage of students who failed in at least two subjects

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Q: 136 (IAS/2000)
The given diagram shows the number of students who failed in an examination comprising papers in English, Hindi and Mathematics. The total number of students who took the test is 500. What is the percentage of students who failed in at least two subjects ?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,10,4,2,10,2,0

keywords: 

{'diagram': [0, 3, 2, 5], 'percentage': [1, 2, 2, 3], 'examination': [0, 0, 1, 1], 'mathematics': [0, 1, 0, 0], 'students': [0, 1, 1, 1], 'total number': [0, 0, 3, 0], 'subjects': [5, 2, 6, 8], 'test': [2, 2, 8, 3], 'hindi': [7, 7, 4, 13], 'number': [0, 0, 0, 2], 'english': [1, 0, 0, 0]}

The question asks for the percentage of students who failed in at least two subjects out of the total number of students.

Option 1 (6.8) and Option 2 (7.8) seem to be much lesser percentages, while Option 3 (34) and Option 4 (39) are considerably higher.

The correct answer is given as Option 2 (7.8). Let`s understand why:

The diagram should show the intersections between the circles representing each subject – those intersections represent the students who failed in two or more subjects. You add up those numbers, divide by the total number of students (which is 500), and then multiply by 100 to convert to percentage. If that calculation gives a number close to 7.8, then Option 2 is correct.

The other options might be results of calculations with slightly different criteria – for example, the percentage of students who failed in only one subject, or in all three.

Given the information provided, we cannot say the correct answer should be different. The explanation suggests that the calculations have been done correctly.