Question
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Answer (Detailed Solution Below)
Option 2 : 20 / 20
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Detailed Solution
सही उत्तर 20 / 20 है।
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Question:
Find the greatest number which, when dividing 287, 432 and 534, leaves remainders 7, 12 and 14 respectively. / वह बड़ी-से-बड़ी संख्या ज्ञात कीजिए जिससे 287, 432 और 534 को भाग देने पर क्रमशः 7, 12 और 14 शेष बचे।
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10 / 10
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20 / 20
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40 / 40
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5 / 5
Correct Answer: 20 / 20
Subtract the remainders: $287-7 = 280$, $432-12 = 420$, $534-14 = 520$. The required number is $\mathrm{HCF}(280, 420, 520) = 20$. / शेषफल घटाएँ: $287-7 = 280$, $432-12 = 420$, $534-14 = 520$। अभीष्ट संख्या $= \mathrm{HCF}(280, 420, 520) = 20$।
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