GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
When positive integer A is divided by positive integer B, the result i
[#permalink]
13 Jul 2021, 04:39
13 Jul 2021, 04:39
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
83% (01:44) correct
16% (01:51) wrong based on 18 sessions
Hide Show timer Statistics
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: When positive integer A is divided by positive integer B, the result i
[#permalink]
13 Jul 2021, 05:02
13 Jul 2021, 05:02
1
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
RELATED VIDEO
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Given Kudos: 9
Location: India
Concentration: General Management
Schools: XLRI Jamshedpur, India - Class of 2014
GMAT 1: 700 Q51 V31
GPA: 2.8
WE:Engineering (Computer Software)
Re: When positive integer A is divided by positive integer B, the result i
[#permalink]
04 Jan 2022, 08:13
04 Jan 2022, 08:13
1
1
Bookmarks
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
