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.
How many positive integers from 0 through 420 leave 4 as remainder whe
[#permalink]
12 Jul 2023, 01:01
12 Jul 2023, 01:01
Expert Reply
5
Bookmarks
00:00
Question Stats:
61% (02:02) correct
38% (01:29) wrong based on 13 sessions
Hide Show timer Statistics
How many positive integers from 0 through 420 leave 4 as remainder when divided by 8?
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
Show: ::
53
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE NUMBER PROPERTIES
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1141
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: How many positive integers from 0 through 420 leave 4 as remainder whe
[#permalink]
15 Jul 2023, 03:16
15 Jul 2023, 03:16
1
We need to find the positive integers from 0 through 420 which leave 4 as remainder when divided by 8
A number(n) when divided by 8 gives 4 remainder can be written as
n = 8k + 4 (where k is a non-negative integer)
=> Numbers can be 4 , 12, ..., 420
So, total number of values are given by = \(\frac{420 - 4}{8}\) + 1 = 53
So, Answer will be 53
Hope it helps!
Watch the following video to learn How to Sequence problems
A number(n) when divided by 8 gives 4 remainder can be written as
n = 8k + 4 (where k is a non-negative integer)
=> Numbers can be 4 , 12, ..., 420
So, total number of values are given by = \(\frac{420 - 4}{8}\) + 1 = 53
So, Answer will be 53
Hope it helps!
Watch the following video to learn How to Sequence problems
Re: How many positive integers from 0 through 420 leave 4 as remainder whe
[#permalink]
21 Jun 2025, 15:39
21 Jun 2025, 15:39
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
