Number of positive integral solutions of $x_{1} . x_{2} . x_{3} = 30$ , is

25

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26

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27

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28

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Solution

The correct option is C $27$
Product of three integral values $= 30$
$\Rightarrow x_{1} x_{2} x_{3} = 30$
Factors of $30 = 2 \times 3 \times 5$
Number of ways $= 3^{3} = 27$

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N

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