IN is the number of positive integral solutions of $x_{1}, x_{2}, x_{1} x_{4} = 770,$ then $N =$

256

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729

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900

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770

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Solution

The correct option is B 256
Factor of 770 is 2 X 5 X 7 X 11
So total number of solutions = 4 x 4 x 4 x 4 = 256 as all four numbers have 4 options to choose from.

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