Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
|
|
GMAT 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.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
alphonsa
Joined: 22 Jul 2014
Last visit: 25 Oct 2020
Posts: 106
Given Kudos: 197
Concentration: General Management, Finance
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
WE:Engineering (Energy)
Products:
Schools: Cox '19 (D) Babson '19 (A$) Katz '19 (D) Eller"19 (A$) Northeastern '19 (A$) Krannert '19 (A$) ISB '18 (D) Rutgers '19 (A) Olin '19 (I)
GMAT 1: 670 Q48 V34
Posts: 106
05 Aug 2014, 09:36
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (02:01) correct
20%
(02:22)
wrong
based on 321
sessions
History
Date
Time
Result
Not Attempted Yet
When a number is divided by a divisor it leaves a remainder 72. However, when twice the number is divided by the same divisor, the remainder obtained is 46. What is the value of the divisor?
98
99
100
101
102
Source: 4gmat
98
99
100
101
102
Source: 4gmat
05 Aug 2014, 11:02
Kudos
Bookmarks
Suppose we have number \(n\) and it is divided by a divisor \(d\) with a quotient \(q\) and remainder 72. Then we have:
\(n=d\cdot q+72\)
Multiply by 2 this equation:
\(2n=d\cdot 2q+ 144\)
When divide \(2n\) by \(d\) again we will have remainder equal to the remainder when 144 is divided by \(d\) since \(d*2q\) is divisible by \(d\).
Therefore d=144-46=98.
The correct answer is A.
Hint: If the divisor doesn't change in the problem, you can work only with remainders.
We have a remainder 72. If we multiply the number by 2, it's remainder will double: 72*2=144
Then d=144-46=98.
\(n=d\cdot q+72\)
Multiply by 2 this equation:
\(2n=d\cdot 2q+ 144\)
When divide \(2n\) by \(d\) again we will have remainder equal to the remainder when 144 is divided by \(d\) since \(d*2q\) is divisible by \(d\).
Therefore d=144-46=98.
The correct answer is A.
Hint: If the divisor doesn't change in the problem, you can work only with remainders.
We have a remainder 72. If we multiply the number by 2, it's remainder will double: 72*2=144
Then d=144-46=98.
05 Aug 2014, 13:29
Kudos
Bookmarks
oss198
Thank you! but how can you then conclude d=144-46=98 ?
We know that 144 when divided by \(d\) has a remainder 46. Hence, \(144=d*a+46\), where \(a\) is quotient.
So, \(d*a=144-46=98\). Divisor \(d\) must be a factor of 98, and must be greater than 72, because divisor is always greater than a remainder. The only one possible such value is 98.
Sorry, for not enough detailed explanation:(
