Last visit was: 22 Dec 2024, 01:01 It is currently 22 Dec 2024, 01:01

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30448
Own Kudos [?]: 36808 [0]
Given Kudos: 26096
Send PM
Retired Moderator
Joined: 02 Dec 2020
Posts: 1831
Own Kudos [?]: 2149 [1]
Given Kudos: 140
GRE 1: Q168 V157

GRE 2: Q167 V161
Send PM
Intern
Intern
Joined: 15 Jul 2021
Posts: 11
Own Kudos [?]: 20 [2]
Given Kudos: 17
Location: India
Concentration: Statistics, Technology
GPA: 3.78
WE:Design (Manufacturing)
Send PM
Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Own Kudos [?]: 974 [1]
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)
Send PM
Re: When a positive integer m is divided by 17, the remainder is 3. Which [#permalink]
1
When a positive integer m is divided by 17, the remainder is 3

Theory: Dividend = Divisor*Quotient + Remainder

m -> Dividend
17 -> Divisor
a -> Quotient (Assume)
3 -> Remainders
=> m = 17*a + 3 = 17a + 3

Which integer could be m

m = 17a + 3
=> m - 3 = 17a
=> m - 3 should be a multiple of 17.

We will take each option choice and subtract 3 and check if it is a multiple of 17 or not

(A) 73
73 - 3 = 70 and we know that 70 is NOT a multiple of 17 => NOT POSSIBLE

(B) 240
240 - 3 = 237 and we know that 237 is NOT a multiple of 17 => NOT POSSIBLE

(C) 258
258 - 3 = 255 and we know that 255 IS a multiple of 17 => POSSIBLE

(D) 274
274 - 3 = 271 and we know that 271 is NOT a multiple of 17 => NOT POSSIBLE

(C) 292
292 - 3 = 289 and we know that 289 IS a multiple of 17 => POSSIBLE

So, Answer will be C, E
Hope it helps!

Watch the following video to learn the Basics of Remainders

User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5088
Own Kudos [?]: 76 [0]
Given Kudos: 0
Send PM
Re: When a positive integer m is divided by 17, the remainder is 3. Which [#permalink]
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.
Prep Club for GRE Bot
Re: When a positive integer m is divided by 17, the remainder is 3. Which [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne