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Question

Which of the following numbers will completely divide 412+ 413 414 + 415?

A 3 Correct Incorrect

B 7 Correct Incorrect

C 11 Correct Incorrect

D 17 Correct Incorrect

Detailed Solution

4¹²+ 4¹³ 4¹⁴+ 4¹⁵ =4¹²(1+4¹+4²+4³⁾ =4¹²(1+4+16+64) =4¹²(85), According to the option, 85is divisible by only 17.so totally number divided by 17.

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