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06 Jun 2017, 05:50
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
72% (01:22) correct
28%
(02:02)
wrong
based on 906
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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
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Updated on: 02 Oct 2017, 11:35
Originally posted by BrentGMATPrepNow on 06 Jun 2017, 09:44.
Last edited by BrentGMATPrepNow on 02 Oct 2017, 11:35, edited 1 time in total.
Last edited by BrentGMATPrepNow on 02 Oct 2017, 11:35, edited 1 time in total.
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shashankism
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!
Answer:
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