Question
Download Solution PDFWhich of the following numbers will completely divide 412 + 413 + 414 + 415 ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
⇒ 412 + 413 + 414 + 415
⇒ 412 (1 + 4 + 42 + 43)
⇒ 412 (1 + 4 + 16 + 64)
⇒ 412 × 85
⇒ 412 × 5 × 17
So the number is a multiple of 17.
∴ The correct answer is 17.
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