Question 85

If $$0 \leq x < 19$$ and $$14x \equiv 6(mod  19)$$, then $$x =$$

Solution

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We are given that the product of 14 and x i.e. 14x when divided by 19, should give a remainder 6. 
One can simply take the different available values of x from the options, multiply it by 14 and then divide by 19 to see whether remainder obtained is 6.

This happens when x = 14 as 14*14 = 196 which when divided by 19 gives us remainder 6. 

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