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UPSC Prelims

CSAT Year Wise (Temporary Link, This will be removed and no PDFs shall be downloaded here. Please download CSAT subject wise files) / सी सैट

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CSAT 2024

Q28 2024, Set Theory and Venn Diagram

In an examination, 80% of students passed in English, 70% passed in Hindi and 15% failed in both subjects. What is the percentage of students who failed in only one subject?

एक परीक्षा में 80% छात्र अंग्रेजी में उत्तीर्ण हुए, 70% छात्र हिन्दी में उत्तीर्ण हुए और 15% छात्र दोनों विषयों में अनुत्तीर्ण हुए। ऐसे छात्रों की प्रतिशतता कितनी है, जो केवल एक विषय में अनुत्तीर्ण हुए?

Explanation Please wait..

15% Students failed in both subjects.
means, 85% passed (at least in one subject, or in both)

(A∪B) = 85
n(A∩B) = A + B - (A∪B)
= 80 + 70 - 85
= 65

Means,

Students passed only in English = 80 - 65 = 15
Students passed only in Hindi = 70 - 65 = 5
Means, Students who failed only in one subject = 20

व्याख्या Please wait..

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