What whole number is nearest to 457 which is divisible by 11?

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450

451

460

462

answer is D.

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Detailed Solution

We have to find the whole number nearest to 457 which is divisible by 11.
For solving this problem, divide options by 11 and check for the nearest whole number.
Dividing option (1) with 11 that is,

⇒ 45011

\Rightarrow

40, with the remainder as 10.
So, option (1) is not completely divisible by 11.
Dividing option (2) with 11 that is,

⇒ 45111

\Rightarrow

41 with the remainder as 0.
So, option (2) is exactly divisible by 11.
Dividing option (3) with 11 that is,

⇒ 46011

\Rightarrow

41 with 9 as remainder.
So, option (3) is not exactly divisible by 11.
Dividing option (4) with 11 that is,

⇒ 46211

\Rightarrow

42 with 0 as remainder.
So, option (4) is exactly divisible by 11.
Both option (2) and (4) are exactly divisible by 11. But among them, the nearest number from 457 is 462, which is option (4).
Hence option (4) is correct.

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