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.
Nov 17Live Online Classes with Top GRE Expert Rich Zwelling
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Tues/Thur Sept 7, 2026---Feb. 2, 2027, 1:00pm-3:00pm EST
Dec 14Live Online Classes with Top GRE Expert Michael Butville
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Mon/Wed Dec. 14, 2026---Feb. 22, 2027, 8:00pm-10:00pm EST
If n divided by 35 has a remainder of 3, what is the remainder when n
[#permalink]
18 Feb 2021, 04:16
18 Feb 2021, 04:16
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
90% (00:52) correct
10% (01:18) wrong based on 30 sessions
Hide Show timer Statistics
If n divided by 35 has a remainder of 3, what is the remainder when n is divided by 7?
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Show: :: OA
3
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: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: If n divided by 35 has a remainder of 3, what is the remainder when n
[#permalink]
18 Feb 2021, 06:41
18 Feb 2021, 06:41
1
Carcass wrote:
\(Number = (Divisor)(Quotient) + Remainder\)
\(n = 35Q + 3\)
Q can be 1, 2, 3, ....
When Q = 1, n = 38
When Q = 2, n= 73 and so on
We can clearly see,
When 38 is divided by 7, the remainder is 3
When 73 is divided by 7, the remainder is 3
So, the remainder would be 3
Manager
Joined: 27 Jun 2021
Posts: 69
Given Kudos: 111
GRE 1: Q154 V167
GPA: 3.71
Re: If n divided by 35 has a remainder of 3, what is the remainder when n
[#permalink]
22 Jul 2021, 04:48
22 Jul 2021, 04:48
1
1
Bookmarks
If N divided by D equals Q with remainder R, then:
N = DQ + R
Hence, n = 35k + 3.
Let's assume that k = 1. Then, we have the number 38.
38/7 will give us a remainder of 3.
Bonus: this can be easily determined on a calculator by dividing 38 by 7, taking only the decimal component, and multiplying that by 7 (the divisor in this case).
Hence, the remainder is 3.
N = DQ + R
Hence, n = 35k + 3.
Let's assume that k = 1. Then, we have the number 38.
38/7 will give us a remainder of 3.
Bonus: this can be easily determined on a calculator by dividing 38 by 7, taking only the decimal component, and multiplying that by 7 (the divisor in this case).
Hence, the remainder is 3.
