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When positive integer A is divided by positive integer
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Updated on: 02 Oct 2017, 11:35

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shashankism wrote:

When positive integer A is divided by positive integer B, the result is 9.35. Which of the following could be the remainder when A is divided by B ?

(A) 13 (B) 14 (C) 15 (D) 16 (E) 17

Given: A/B = 9.35 So, we can write: A/B = 935/100 So, dividing A by B is the same as dividing 935 by 100 When we do this, we get 9 with remainder 35 Check the answer choice.....not there.

Now what? We should recognize that we can simplify 935/100 by dividing top and bottom by 5 to get the equivalent fraction 187/20 In other words, we can say A/B = 187/20 So, dividing A by B is the same as dividing 187 by 20 When we do this, we get 9 with remainder 7 Check the answer choice.....not there. Now what?

When I check the answer choices, I see that B (14) is a multiple of 7 That should give us a hint about another way to express our given fraction. Take 187/20 and double the top and bottom to get the equivalent fraction 374/40 When we divide 374 by 40, we get remainder 14 DONE!

Re: When positive integer A is divided by positive integer
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20 Aug 2018, 16:56

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