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Question

Find the multiplicative inverse of 107.


A

102

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B

102

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C

107

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D

106

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Solution

The correct option is C

107


Multiplicative inverse of a non-zero x is 1x; so that when these two are multiplied, the product value is 1. Therefore, the multiplicative inverse of 107should be a number which when multiplied with 107 gives 1.
Let the multiplicative inverse of 107 be x.
Then, 107×x=1.
x=1107=107
(an=1an1an=11an=an)
Thus, the multiplicative inverse of 107 is 107.


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