SSC CGL Tier-1 previous year question
In an exam, 65% of candidates passed in Maths, 55% passed in Science, and 15% failed in both subjects. If 2800 candidates passed in both subjects, find the total number of candidates who appeared.
Asked in SSC CGL Tier-1: 2024 Sep 10 Shift 3 () · Quantitative Aptitude
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Correct answer: (A) 8000
Let total candidates = 100%. Passed in at least one subject = 100% - 15% = 85%. Pass(both) = Pass(Maths) + Pass(Science) - Pass(at least one) = 65% + 55% - 85% = 35%. Since 35% of total = 2800, Total = 2800/0.35 = 8000.
हिंदी में प्रश्न
एक परीक्षा में 65% परीक्षार्थी गणित में उत्तीर्ण हुए, 55% विज्ञान में उत्तीर्ण हुए और 15% दोनों विषयों में अनुत्तीर्ण रहे। यदि दोनों विषयों में उत्तीर्ण परीक्षार्थियों की संख्या 2800 है, तो कुल परीक्षार्थियों की संख्या ज्ञात कीजिए।
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सही उत्तर: (A) 8000
कुल परीक्षार्थी = 100% मानें। कम-से-कम एक विषय में उत्तीर्ण = 100% - 15% = 85%। सूत्र: दोनों में उत्तीर्ण% = गणित% + विज्ञान% - कम से कम एक में उत्तीर्ण% = 65% + 55% - 85% = 35%। चूँकि 35% = 2800, अतः कुल = 2800/0.35 = 8000।
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