Last visit was: 22 Dec 2024, 10:56 It is currently 22 Dec 2024, 10:56

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: 30461
Own Kudos [?]: 36816 [9]
Given Kudos: 26100
Send PM
Most Helpful Community Reply
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12234 [6]
Given Kudos: 136
Send PM
General Discussion
Retired Moderator
Joined: 09 Jan 2021
Posts: 576
Own Kudos [?]: 846 [1]
Given Kudos: 194
GRE 1: Q167 V156
GPA: 4
WE:Analyst (Investment Banking)
Send PM
Manager
Manager
Joined: 27 Jun 2021
Posts: 69
Own Kudos [?]: 86 [1]
Given Kudos: 111
GRE 1: Q154 V167
GPA: 3.71
Send PM
Re: The remainder when 120 is divided by single-digit integer m [#permalink]
1
The key clue here is that we're dealing with a single-digit number and that the remainder is positive. Discovering this requires close evaluation of the question.

This heavily narrows down our options. 1, 2, 3, 4, 5, 6, and 8 will all yield a remainder of 0 because they are all factors of 120. This leaves us with 7 and 9.

Subtracting the lesser from the greater, we get 2. When we divide 120 by 2, our remainder is 0.

Hence, our answer is 0.
Manager
Manager
Joined: 11 Jun 2023
Posts: 77
Own Kudos [?]: 78 [1]
Given Kudos: 14
Send PM
Re: The remainder when 120 is divided by single-digit integer m [#permalink]
1
Neat question.
Notice the restrictions - m and n must be digits.
Therefore, m and n can take values from 1 to 9, inclusive.
0 is excluded, as we are dividing.
120 can be divided by 1,2,3,4,5, 6 and 8.
As we know that the remainder is positive, m and n cannot be any of those values.
as m>n, m must be 9 and n must be 7.
Therefore, m-n=2, which leaves no remainder when dividing by 120. 0 is the correct answer.
Prep Club for GRE Bot
Re: The remainder when 120 is divided by single-digit integer m [#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