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 1207:30 AM PST
-08:30 AM PST
Join the conversation to learn more about INSEAD vs LBS
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 16
08:00 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! - Dec 17
09:00 AM PST
-10:00 AM PST
Join Manhattan Prep instructor Whitney Garner for a fun—and thorough—review of logic-based (non-math) problems, with a particular emphasis on Data Sufficiency and Two-Parts. - Dec 18
10:00 AM PST
-11:00 AM PST
Here is the essential guide to securing scholarships as an MBA student! In this video, we explore the various types of scholarships available, including need-based and merit-based options.
BillyZ
Current Student
Joined: 14 Nov 2016
Last visit: 20 Oct 2024
Posts: 1,158
Own Kudos:
Given Kudos: 926
Location: Malaysia
Concentration: General Management, Strategy
Schools: Sloan '23 (D) Tuck '23 (D) Darden '23 (D) Ross '23 (D) Kellogg '23 (D) Wharton '23 (D) Booth '23 (D) Fuqua '24 (A) Harvard '24 (D) Stanford '24 (D)
GMAT 1: 750 Q51 V40 (Online)
GPA: 3.53
Products:
Schools: Sloan '23 (D) Tuck '23 (D) Darden '23 (D) Ross '23 (D) Kellogg '23 (D) Wharton '23 (D) Booth '23 (D) Fuqua '24 (A) Harvard '24 (D) Stanford '24 (D)
GMAT 1: 750 Q51 V40 (Online)
Posts: 1,158
Kudos:
21,370
29 Mar 2017, 22:16
Kudos
Bookmarks
D
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:
12% (01:53) correct
88%
(02:53)
wrong
based on 59
sessions
History
Date
Time
Result
Not Attempted Yet
If m and n are positive integers, is \((m^{n+1}+3)(m^{n+2}+4)(m^{n+3}+5)\) divisible by 12?
1) m is an odd number
2) n is an even number
1) m is an odd number
2) n is an even number
This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below
for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Data Sufficiency (DS) Forum
for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
31 Mar 2017, 08:28
Kudos
Bookmarks
[m^(n+1)+3]*[m^(n+2)+4]*[m^(n+3)+5]
We need to find whether the equation is divisible by 2*2*3. So the equation should have atleast 2 multiples of 2 and 1 multiple of 3.
Option A :
m is odd. Hence ;
first term = [odd+3] = even (multiple of 2)
third term = [odd+5] = even (multiple of 2)
Now in second term lets assume "n" is odd and m =odd (1,3,5)
So for m =1 ; [m^(n+2)+4] = [1+ 4] = 5 ..... hence the equation is not divisible by 3.
when m = 3 ; n = 1......... [27+4] = 5 .......hence the equation is not divisible by 3.
when m = 5 ; n = 1......... [125+4] = 129 /3 = 43.......hence the equation is DIVISIBLE by 3.
So how can we conclude the equation is divisible by 12 when m is odd??
I think answer should be C.
We need to find whether the equation is divisible by 2*2*3. So the equation should have atleast 2 multiples of 2 and 1 multiple of 3.
Option A :
m is odd. Hence ;
first term = [odd+3] = even (multiple of 2)
third term = [odd+5] = even (multiple of 2)
Now in second term lets assume "n" is odd and m =odd (1,3,5)
So for m =1 ; [m^(n+2)+4] = [1+ 4] = 5 ..... hence the equation is not divisible by 3.
when m = 3 ; n = 1......... [27+4] = 5 .......hence the equation is not divisible by 3.
when m = 5 ; n = 1......... [125+4] = 129 /3 = 43.......hence the equation is DIVISIBLE by 3.
So how can we conclude the equation is divisible by 12 when m is odd??
I think answer should be C.
05 Apr 2017, 21:47
Kudos
Bookmarks
ziyuen
If m and n are positive integers, is \((m^{n+1}+3)(m^{n+2}+4)(m^{n+3}+5)\) divisible by 12?
1) m is an odd number
2) n is an even number
1) m is an odd number
2) n is an even number
1) m is an odd number
\(m^{n+1}\) +3 is even,hence it is divisible by 2
\(m^{n+3}\) + 5 is even,hence it is divisible by 2
1.1)note the remainder of (x+y)/3 = the remainder of x/3 + the remainder of y/3
if the remainder of m/3 is 1,then \(m^{n+3}\)+5 is divisible by 3
if the remainder of m/3 is 2,then \(m^{n+1}\)+4 is divisible by 3
if the remainder of m/3 is 0,then \(m^{n+1}\)+3 is divisible by 3
Thus,(1) is SUFFICIENT
2)n is an even number
if m is even,\(m^{n+2}\)+4 is divisible by 4
if m is odd,\(m^{n+1}\)+3 and \(m^{n+3}\)+5 is even
From (1.1),this expression always divisible by 3,(2) is also SUFFICIENT
ans (D)
