If $(24, 92) = 24 m + 92 n$ , then $(m, n)$ is

(- 1, 4)

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(4, - 1)

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(4, - 3)

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(- 4, 3)

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Solution

The correct option is A $(4, - 1)$
$(24, 92)$ denotes the H.CF. of $24$ and $92$ , which is 4
The multiple of $24$ nearest to $92$ is $96$
Thus, $24 \times 4 - 92 \times 1 = 4$ and hence $m$ equals $4$ , while $n$ equals $- 1$

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