Question
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Answer (Detailed Solution Below)
Option 3 : 443 / 443
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Detailed Solution
सही उत्तर 443 / 443 है।
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prepsnap.in • Part -AQuestion:
While studying cube numbers, a mathematician jotted down this sequence: 3, 11, 38, 102, 227, ?. Which number comes next? / घन संख्याओं का अध्ययन करते हुए एक गणितज्ञ ने यह अनुक्रम लिखा: 3, 11, 38, 102, 227, ?। अगली संख्या कौन-सी आएगी?
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439 / 439
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441 / 441
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443 / 443
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445 / 445
Correct Answer: 443 / 443
Successive differences are 8, 27, 64, 125 — i.e. 2³, 3³, 4³, 5³. The next difference is 6³ = 216, so 227 + 216 = 443. / क्रमिक अंतर 8, 27, 64, 125 हैं — अर्थात् 2³, 3³, 4³, 5³। अगला अंतर 6³ = 216 होगा, अतः 227 + 216 = 443।
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