Question discussion

2122 + 462 + 842 + 464 + 2130 is divisible by which one of the following integers?

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2122 + 462 + 842 + 464 + 2130

⇒ 2122 + 2124 + 2126 + 2128 + 2130

⇒ 2122(1 + 4 + 16 + 64 + 256)

⇒ 2122 × 341

Since 341 is divisible by 11, answer will be 11 only.