AP Police SI practice question
From one vertex of a polygon, 28 diagonals can be drawn. Find the total number of diagonals in the polygon.
From a AP Police SI Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (C) 434
The number of diagonals that can be drawn from one vertex of an n-sided polygon is (n-3). Here n-3 = 28, so n = 31. The total number of diagonals is D = n(n-3)/2 = 31×28/2 = 434.
हिंदी में प्रश्न
एक बहुभुज के किसी एक शीर्ष से 28 विकर्ण खींचे जा सकते हैं। बहुभुज में विकर्णों की कुल संख्या ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
उत्तर और व्याख्या देखें
सही उत्तर: (C) 434
n भुजाओं वाले बहुभुज के किसी एक शीर्ष से खींचे जा सकने वाले विकर्णों की संख्या (n-3) होती है। यहाँ n-3 = 28, इसलिए n = 31। कुल विकर्णों की संख्या D = n(n-3)/2 = 31×28/2 = 434 है।
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