What will come in place of the question mark $(?)$ in the following question?
$34.667 - 15.597 - 8.491 - 0.548 = ?$

14.403

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10.031

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18.301

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21.043

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None of these

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Solution

The correct option is B $10.031$
Let the missing place in the given question be $x$ , then we have:

$34.667 - 15.597 - 8.491 - 0.548 = x \Rightarrow \frac{34667}{1000} - \frac{15597}{1000} - \frac{8491}{1000} - \frac{548}{1000} = x {∵ \frac{1}{10} = 0.1, \frac{1}{100} = 0.01, . . . .} \Rightarrow \frac{34667 - 15597 - 8491 - 548}{1000} = x \Rightarrow \frac{34667 - (15597 + 8491 + 548)}{1000} = x$

$\Rightarrow \frac{34667 - 24636}{1000} = x$

$\Rightarrow \frac{10031}{1000} = x \Rightarrow x = 10.031$

Hence, $34.667 - 15.597 - 8.491 - 0.548 = 10.031$

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