Last visit was: 22 Dec 2024, 13:50 It is currently 22 Dec 2024, 13:50

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: 30472
Own Kudos [?]: 36818 [2]
Given Kudos: 26100
Send PM
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12234 [2]
Given Kudos: 136
Send PM
Retired Moderator
Joined: 28 Sep 2020
Posts: 136
Own Kudos [?]: 114 [0]
Given Kudos: 2
Send PM
Moderator
Moderator
Joined: 02 Jan 2020
Status:GRE Quant Tutor
Posts: 1115
Own Kudos [?]: 974 [0]
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: A positive integer when divided by 357 gives a remainder 37. By dividi [#permalink]
A positive integer when divided by 357 gives a remainder 37

Theory: Dividend = Divisor*Quotient + Remainder

Let the positive number be x

x -> Dividend
357 -> Divisor
a -> Quotient (Assume)
37 -> Remainders
=> x = 357*a + 37 = 357a + 37

y dividing the same number by 17, the remainder would be

x = 357a + 37 = 17*21a + 34 + 3 = 17*21a + 17*2 + 3 = 17*(21a + 2) + 3
=> x when divided by 17 gives 21a + 2 as quotient and 3 as remainder

So, Answer will be A
Hope it helps!

Watch the following video to learn the Basics of Remainders

Prep Club for GRE Bot
Re: A positive integer when divided by 357 gives a remainder 37. By dividi [#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