Given: The number is 461+462+463+464 Concept Used: If n=a×b×c... Then n must be divisible by a, b, c, .... Calculation: We have 461+462+463+464 Taking 461 common from this number, we get ⇒461(1+41+42+43) ⇒461(1+4+16+64) ⇒461(85) ⇒461×5×17 So, We can write 461+462+463+464=461×5×17 So, the number can be divisible by 5,17 and 4n{n≤61} From option we can say that ∴461+462+463+464 is divisible by 17