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500 candidates appeared in an examination comprising tests in English, Hindi, and Math. The diagram gives the number of students who failed in different tests. What is the percentage of students who failed in at least two subjects?

**Options:**
(a) 6.8%
(b) 7.8%
(c) 1.0%
(d) 0.078%

Question

![Screenshot 2025-04-04 204447.png](https://res.cloudinary.com/aptidude/image/upload/v1743779697/aptidude_questions/cjlvcdw5udochdlywaij.png)

500 candidates appeared in an examination comprising tests in English, Hindi, and Math. The diagram gives the number of students who failed in different tests. What is the percentage of students who failed in at least two subjects?

**Options:**  
(a) 6.8%  
(b) 7.8%  
(c) 1.0%  
(d) 0.078%

Accepted Answer

From the diagram, the number of students failing in at least two subjects can be calculated by summing the following values:  
- Students failing in English and Hindi: $$10$$  
- Students failing in Hindi and Math: $$12$$  
- Students failing in English and Math: $$12$$  
- Students failing in all three subjects: $$5$$

Total students failing at least two subjects = $$10 + 12 + 12 + 5 = 39$$.

The total number of candidates is $$500$$. The percentage of students failing at least two subjects is:  
$$
	ext{Percentage} = \left(\frac{39}{500}ight) 	imes 100 = 7.8\%
$$

Thus, the percentage of students who failed in at least two subjects is **7.8%**.

Answer

Answer

Answer