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 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.
08 Sep 2019, 18:48
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
73% (02:36) correct
27%
(02:38)
wrong
based on 276
sessions
History
Date
Time
Result
Not Attempted Yet
[GMAT math practice question]
\(a, b\) and \(c\) are different positive integers between \(1\) and \(9\), inclusive. The \(5\)-digit integer \(ababc\) is a multiple of \(12\), and the \(2\)-digit number \(ab\) is equal to \(c^2\). What is the value of the \(3\)-digit number \(abc\)?
\(A. 164\)
\(B. 255\)
\(C. 366\)
\(D. 497\)
\(E. 648\)
\(a, b\) and \(c\) are different positive integers between \(1\) and \(9\), inclusive. The \(5\)-digit integer \(ababc\) is a multiple of \(12\), and the \(2\)-digit number \(ab\) is equal to \(c^2\). What is the value of the \(3\)-digit number \(abc\)?
\(A. 164\)
\(B. 255\)
\(C. 366\)
\(D. 497\)
\(E. 648\)
08 Sep 2019, 18:55
Kudos
Bookmarks
=>
Since \(c^2=ab\), the possibilities for \(a, b\) and \(c\) are given by \(4^2=16, 5^2=25, 6^2=36, 7^2=49, 8^2=64\) and \(9^2=81.\)
So, the possible values of \(ababc\) are \(16164, 25255, 36366, 49497, 64648\) and \(81819.\)
Since \(ababc\) is a multiple of \(12\), \(ababc\) is both a multiple of \(3\) and a multiple of \(4\). \(16164\) and \(64648\) are the only multiples of \(4\) in the list of values of \(ababc,\) because their last two digits are multiples of \(4\). Of these, only \(16164\) is a multiple of \(3\), since the sum of its digits is \(18\), which is a multiple of \(3.\)
Therefore, \(abc\) is \(164\), and A is the answer.
Answer: A
Since \(c^2=ab\), the possibilities for \(a, b\) and \(c\) are given by \(4^2=16, 5^2=25, 6^2=36, 7^2=49, 8^2=64\) and \(9^2=81.\)
So, the possible values of \(ababc\) are \(16164, 25255, 36366, 49497, 64648\) and \(81819.\)
Since \(ababc\) is a multiple of \(12\), \(ababc\) is both a multiple of \(3\) and a multiple of \(4\). \(16164\) and \(64648\) are the only multiples of \(4\) in the list of values of \(ababc,\) because their last two digits are multiples of \(4\). Of these, only \(16164\) is a multiple of \(3\), since the sum of its digits is \(18\), which is a multiple of \(3.\)
Therefore, \(abc\) is \(164\), and A is the answer.
Answer: A
General Discussion
08 Sep 2019, 18:56
Kudos
Bookmarks
MathRevolution
Given:
1. \(a, b\) and \(c\) are different positive integers between \(1\) and \(9\), inclusive.
2. The \(5\)-digit integer \(ababc\) is a multiple of \(12\), and the \(2\)-digit number \(ab\) is equal to \(c^2\).
Asked: What is the value of the \(3\)-digit number \(abc\)?
\(A. 164\)
16=c^2
ababc =
16164
Is a multiple of 3&4=12
\(B. 255\)
\(C. 366\)
\(D. 497\)
\(E. 648\)
IMO A
Posted from my mobile device
