GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Feb 2019, 23:47

Close

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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT Algebra Webinar

     February 17, 2019

     February 17, 2019

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
  • Free GMAT Strategy Webinar

     February 16, 2019

     February 16, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

If x, y, and z represent consecutive integers, and x < y < z, which of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52902
If x, y, and z represent consecutive integers, and x < y < z, which of  [#permalink]

Show Tags

New post 17 Jul 2018, 23:43
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:54) correct 18% (01:06) wrong based on 64 sessions

HideShow timer Statistics

If x, y, and z represent consecutive integers, and x < y < z, which of the following equals y?

I. x + 1
II. (x +z)/2
III. (x + y + z)/3

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

SC Moderator
User avatar
P
Joined: 30 Jan 2015
Posts: 787
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: If x, y, and z represent consecutive integers, and x < y < z, which of  [#permalink]

Show Tags

New post 18 Jul 2018, 00:32
Bunuel wrote:
If x, y, and z represent consecutive integers, and x < y < z, which of the following equals y?


Let,
x = 1, y = 2, z = 3 : since x < y < z

Putting respective values in given cases, each one of case is satisfied.
I. x + 1 --> y = x + 1 --> 2 = 1 + 1 = 2
II. (x +z)/2 --> y = (x + z)/2 --> 2 = 4/2 = 2
III. (x + y + z)/3 --> y = (1 + 2 + 3) / 3 = 2

Hence, E.
_________________

The few, the fearless !

Thanks :-)

VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1116
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If x, y, and z represent consecutive integers, and x < y < z, which of  [#permalink]

Show Tags

New post 18 Jul 2018, 00:56
Bunuel wrote:
If x, y, and z represent consecutive integers, and x < y < z, which of the following equals y?

I. x + 1
II. (x +z)/2
III. (x + y + z)/3

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III



Assigning different values for consecutive integers x< y< z.

x = 2
y= 3
z = 4.

I. x+1 = y

2+1 = 3

II. (x+z)/2 = y

(2+4)/2 = 3

III. (x+y+z) /3 = y

(2+3+4) / 3 =3

All the options are correct. Note: Consecutive integers can be negative. Same rules.

The best answer is E.
e-GMAT Representative
User avatar
D
Joined: 04 Jan 2015
Posts: 2568
Re: If x, y, and z represent consecutive integers, and x < y < z, which of  [#permalink]

Show Tags

New post 18 Jul 2018, 02:09

Solution



Given:
    • x, y, and z represent consecutive integers
    • x < y < z


To find:
    • Among the three given options, which equals y.

Approach and Working:

x, y, and z are consecutive integers.
    • Hence, y= x+1 and z= x+2

Now, look at every option.
    I. x + 1= y
    Hence, x+1 is equal to y.

    II.\(\frac{(x +z)}{2}= \frac{x+x+2}{2}\)= 2x+2= x+1
    Hence,\(\frac{(x+z)}{2}\) is equal to y.

    III. \(\frac{(x + y + z)}{3}= \frac{x+x+1+x+2}{3}= \frac{3x+3}{3}\)= x+1
    Hence, \(\frac{(x + y + z)}{3}\) is equal to y.


Hence, the correct answer is option E.

Answer: E
_________________








Register for free sessions
Number Properties:- Get 5 free video lessons, 50 practice questions | Algebra:-Get 4 free video lessons, 40 practice questions
Quant Workshop:- Get 100 practice questions | Free Strategy Weession:- Key strategy to score 760

Success Stories
Q38 to Q50 | Q35 to Q50 | More Success Stories

Ace GMAT
Articles and Question to reach Q51 | Question of the week | Tips From V40+ Scoreres | V27 to V42:- GMAT 770 | Guide to Get into ISB-MBA

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4921
Location: United States (CA)
Re: If x, y, and z represent consecutive integers, and x < y < z, which of  [#permalink]

Show Tags

New post 22 Jul 2018, 17:35
Bunuel wrote:
If x, y, and z represent consecutive integers, and x < y < z, which of the following equals y?

I. x + 1
II. (x +z)/2
III. (x + y + z)/3

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III



The easiest way to solve this problem is pick numbers for x, y, z. So let x = 2, y = 3, and z = 4. We see that y = x + 1. So I is true.

Since (x + z)/2 = (2 + 4)/2 = 3, we see that II is also true.

Finally, since (x + y + z)/3 = (2 + 3 + 4)/3 = 3, we see that III is also true.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: If x, y, and z represent consecutive integers, and x < y < z, which of   [#permalink] 22 Jul 2018, 17:35
Display posts from previous: Sort by

If x, y, and z represent consecutive integers, and x < y < z, which of

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.