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!
22 May 2018, 04:28
Kudos
Bookmarks
D
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:
71% (01:08) correct
29%
(01:10)
wrong
based on 195
sessions
History
Date
Time
Result
Not Attempted Yet
If x is a positive integer, which of the following must be divisible by 3?
A. (x+1)(x+2)(x+4)
B. (x)(x+2)(x+3)
C. (x)(x+3)(x+6)
D. (x−1)(x)(x+1)
E. (x)(x^2)(x^3)
A. (x+1)(x+2)(x+4)
B. (x)(x+2)(x+3)
C. (x)(x+3)(x+6)
D. (x−1)(x)(x+1)
E. (x)(x^2)(x^3)
22 May 2018, 05:03
Kudos
Bookmarks
Solution
Given:
• The number x represents a positive integer
To find:
• Out of the given options, which one must be divisible by 3
Approach and Working:
• If we consider any 3 consecutive positive integers, one of them must be a multiple of 3
- o Considering the options given, option D shows 3 consecutive integers (x – 1), x, and (x + 1)
Hence, the correct answer is option D.
Answer: D
Note: with some examples, we can negate the other options.
• If x = 3, then (x + 1) (x + 2) (x + 4) = 4 * 5 * 7 [not a multiple of 3]
• If x = 2, then (x) (x + 2) (x + 3) = 2 * 4 * 5 [not a multiple of 3]
• If x = 1, then (x) (x + 3) (x + 6) = 1 * 4 * 7 [not a multiple of 3]
• If x = 2, then \((x) (x^2) (x^3)\) = 2 * 4 * 8 [not a multiple of 3]
22 May 2018, 05:05
Kudos
Bookmarks
Option D is 3 consecutive integers. Since x is a positive integer, the minimum value of x is 1.
Therefore option D will always be divisible by 3.
Hence D = (x−1)(x)(x+1) is the answer.
Therefore option D will always be divisible by 3.
Hence D = (x−1)(x)(x+1) is the answer.
