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When positive integer A is divided by positive integer B, the result i
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13 Jul 2021, 04:39
13 Jul 2021, 04:39
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When positive integer A is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when A is divided by B?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: When positive integer A is divided by positive integer B, the result i
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13 Jul 2021, 05:02
13 Jul 2021, 05:02
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Carcass wrote:
When positive integer A is divided by positive integer B, the result is 4.35. Which of the following could be the reminder when A is divided by B?
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) 13
(B) 14
(C) 15
(D) 16
(E) 17
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Notice that 0.35 = 35/100
So, we can write: A/B = 4 35/100 = 435/100
So, one possible case is that A = 435 and B = 100
When we divide 435 by 100, the remainder is 35
Unfortunately 35 is NOT one of the answer choices.
Now let's examine some fractions that are EQUIVALENT to 435/100
For example, 435/100 = 87/20 (= 4.35)
In other words, A = 87 and B = 20
In this case, when we divide A by B, the remainder is 7
Unfortunately 7 is NOT one of the answer choices.
Find another fraction EQUIVALENT to 435/100
How about 174/40 (= 4.35)
In other words, A = 174 and B = 40
In this case, when we divide A by B, the remainder is 14
Aha, 14 IS one of the answer choices!!
Answer: B
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Re: When positive integer A is divided by positive integer B, the result i
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04 Jan 2022, 08:13
04 Jan 2022, 08:13
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When positive integer A is divided by positive integer B, the result is 4.35
\(\frac{A}{B}\) = 4.35
=> A = B*4.35 = B *(4 + 0.35)
=> A = B*4 + B*0.35
=> A when divided by B gives 4 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
\(\frac{A}{B}\) = 4.35
=> A = B*4.35 = B *(4 + 0.35)
=> A = B*4 + B*0.35
=> A when divided by B gives 4 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
