IBPS RRB Office Assistant (Multipurpose) Prelims practice question
In an examination, the number of students who passed (P) and who failed (F) are such that √P : √F = 4 : 3, and P exceeds F by 63. Find the total number of students who appeared (P + F).
From a IBPS RRB Office Assistant (Multipurpose) Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (A) 225
Let √P = 4k, √F = 3k, so P = 16k², F = 9k². Then P − F = 7k² = 63 ⟹ k² = 9. So P = 144, F = 81, and P + F = 225.
हिंदी में प्रश्न
एक परीक्षा में उत्तीर्ण (P) और अनुत्तीर्ण (F) छात्रों की संख्या इस प्रकार है कि √P : √F = 4 : 3 है, और P, F से 63 अधिक है। परीक्षा में बैठे कुल छात्रों (P + F) की संख्या ज्ञात करें।
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सही उत्तर: (A) 225
मान लें √P = 4k, √F = 3k, अतः P = 16k², F = 9k²। तब P − F = 7k² = 63 ⟹ k² = 9। अतः P = 144, F = 81, और P + F = 225।
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