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Re: If a and b are positive integers such that a/b = 82.024, which of the
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10 Jul 2021, 07:19
1
a/b = 82.024
Can be written as a = b * 82.024 => a = b*82 + b*0.024 = 82b + b * \(\frac{024}{1000}\) => a = 82b + b * \(\frac{3}{125}\)
This means, a when divided by b gives 82 as quotient and b * \(\frac{3}{125}\) as remainder. Now, remainder has to be integer. And for b * \(\frac{3}{125}\) to be an integer b has to be a multiple of 125. Only. multiple of 125 in the answer choice is 250.
So, answer will be D Hope it helps!
To learn more about Remainders, watch the following video