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Q:

एक परीक्षा में, 34% छात्र गणित में और 42% अंग्रेजी में असफल रहे। यदि 20% छात्र दोनों विषयों में अनुत्तीर्ण हुए, तो दोनों विषयों में उत्तीर्ण छात्रों का प्रतिशत ज्ञात कीजिए।

  • 1
    40%
  • 2
    41%
  • 3
    43%
  • 4
    44%
  • Show Answer
  • Workspace

Answer : 4. "44%"
Explanation :

To find the percentage of students who failed in at least one subject (A or B or both), we can use the principle of inclusion-exclusion:

Percentage of students who failed in at least one subject (A or B or both) = Percentage of students who failed in M + Percentage of students who failed in E - Percentage of students who failed in both subjects

= M + E - B

= 34% + 42% - 20% = 76% - 20% = 56%

So, 56% of the students failed in at least one subject.

Now, to find the percentage of students who passed in both subjects, we subtract the percentage of students who failed in at least one subject from 100%:

Percentage of students who passed in both subjects = 100% - Percentage of students who failed in at least one subject = 100% - 56% = 44%

Therefore, the percentage of students who passed in both subjects is 44%.

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