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When positive integer A is divided by positive integer B, the result i
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12 Jul 2021, 05:48
12 Jul 2021, 05:48
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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
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Posts: 6218
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Re: When positive integer A is divided by positive integer B, the result i
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12 Jul 2021, 08:21
12 Jul 2021, 08:21
Carcass 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
(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!
Answer: B
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WE:Engineering (Computer Software)
When positive integer A is divided by positive integer B, the result i
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04 Jan 2022, 08:14
04 Jan 2022, 08:14
1
When positive integer A is divided by positive integer B, the result is 9.35
\(\frac{A}{B}\) = 9.35
=> A = B*9.35 = B *(9 + 0.35)
=> A = B*9 + B*0.35
=> A when divided by B gives 9 as Quotient and 0.35B as remainder
=> B *0.35 is an integer
Remainder = B * \(\frac{35}{100}\) = B * \(\frac{7}{20}\)
= \(\frac{B}{20}\) * 7
=> Remainder is a multiple of 7
Only, option choice possible is 14
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Remainders
\(\frac{A}{B}\) = 9.35
=> A = B*9.35 = B *(9 + 0.35)
=> A = B*9 + B*0.35
=> A when divided by B gives 9 as Quotient and 0.35B as remainder
=> B *0.35 is an integer
Remainder = B * \(\frac{35}{100}\) = B * \(\frac{7}{20}\)
= \(\frac{B}{20}\) * 7
=> Remainder is a multiple of 7
Only, option choice possible is 14
So, Answer will be B
Hope it helps!
Watch the following video to learn the Basics of Remainders
