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
The integer n is greater than or equal to 40. When the integ
[#permalink]
13 Aug 2020, 01:24
13 Aug 2020, 01:24
Expert Reply
6
Bookmarks
00:00
Question Stats:
71% (01:57) correct
28% (01:44) wrong based on 152 sessions
Hide Show timer Statistics
The integer n is greater than or equal to 40. When the integer n is divided by 28, the remainder is 12.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Quantity A |
Quantity B |
The remainder when \(2n\) is divided by 14 |
The remainder when \(3n\) is divided by 14 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
KUDOS for the right solution and explanation
Re: The integer n is greater than or equal to 40. When the integ
[#permalink]
13 Aug 2020, 23:52
13 Aug 2020, 23:52
Is there a short and easy way to this question? I actually divided each number to solve this one... I can see others have done this sum in much less time than i have....Pls help.
Re: The integer n is greater than or equal to 40. When the integ
[#permalink]
14 Aug 2020, 12:45
14 Aug 2020, 12:45
1
If n = 28k + 12, where k is some positive integer, then 2n = 56k + 24 and 3n = 84k + 36 (just multiply through by 2 and 3).
Divide 2n by 14 and you get 56k/14 + 24/14, simplify it to 4k + 1 + 10/14. (4k + 1) represents the whole part of the answer and 10 is the remainder.
Divide 3n by 14 and you get 84k/14 + 36/14, simplify it to 6k + 2 + 8/14. (6k + 2) represents the whole part of the answer and 8 is the remainder.
The remainder of 2n/14 is 10, which is greater than 8, the remainder of 3n/14. The answer is A.
Divide 2n by 14 and you get 56k/14 + 24/14, simplify it to 4k + 1 + 10/14. (4k + 1) represents the whole part of the answer and 10 is the remainder.
Divide 3n by 14 and you get 84k/14 + 36/14, simplify it to 6k + 2 + 8/14. (6k + 2) represents the whole part of the answer and 8 is the remainder.
The remainder of 2n/14 is 10, which is greater than 8, the remainder of 3n/14. The answer is A.
