Which of the following numbers is divisible by \(3^{10} + 2\)?
Question and options
Which of the following numbers is divisible by ?
Answer and explanation
Correct answer: D - \(3^{30} + 8\)
Let t = 3^10, so t = -2 mod (t+2). Then t^3 + 8 = -8 + 8 = 0 mod (t+2). The others leave remainders 8, -6 and 12.
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IPMAT Indore
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