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.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
15 Jun 2021, 05:30
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
43% (03:01) correct
57%
(03:18)
wrong
based on 53
sessions
History
Date
Time
Result
Not Attempted Yet
A and B when divided by 56 leave remainders of 48 and 32 respectively. When divided by 44, both leave a remainder of 24. If the sum of A and B is divisible by the sum of the divisors, then find the minimum value of (A + B).
(A) 1,200
(B) 1,800
(C) 2,600
(D) 3,400
(E) 3,800
(A) 1,200
(B) 1,800
(C) 2,600
(D) 3,400
(E) 3,800
15 Jun 2021, 17:51
Kudos
Bookmarks
Bunuel
If we focus on A + B, we know A + B when divided by 44 must leave a remainder of \(24 + 24\) -> \(48\) -> \(4\) since we can divide out that extra 44. If we divide A + B by 56 then the remainder must be \(48 + 32\) -> \(80\) -> \(24\). So our goal is to find a number that can be satisfy both forms, \(44*i + 4\) and \(56*j + 24\), where i and j are integers.
Equate these and we can simplify this down to \(11*i + 1 = 14*j + 6\). In an attempt to find a chain of integer solutions, try adding 14's onto 6 to find a multiple of 11 plus 1 since multiples of 11 are easier to count. If we scroll through the numbers we have 6, 20, 34, and bingo stop there since 34 is a multiple of 11 plus 1. Then (i, j) = (3, 2) is a viable solution. And by adding 14's to the i and 11's to the j values, we will get additional (and infinitely many) solutions.
Now let's go back to the original number, the first satisfying number would be \(44*3 + 4 = 136\) from our i = 3 case. We can get more solutions by adding 14 to the i values or 11 to the j values, hence 56*11 = 560 + 56 = 616 increments. We want a number that is divisible by 56 + 44 = 100, start with 136 and check how many 16's we need to add to reach a whole hundred. We are missing 64 = 4 * 16, so add four more of 616's.
Finally the answer would be \(616*4 + 136 = 2464 + 136 = 2600.\)
Ans: C
General Discussion
15 Oct 2022, 07:19
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
