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

It is currently 15 Feb 2019, 11:05

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
  • $450 Tuition Credit & Official CAT Packs FREE

     February 15, 2019

     February 15, 2019

     10:00 PM EST

     11:00 PM PST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • Free GMAT practice

     February 15, 2019

     February 15, 2019

     10:00 PM EST

     11:00 PM PST

    Instead of wasting 3 months solving 5,000+ random GMAT questions, focus on just the 1,500 you need.

The sum of m consecutive integers is 8. If the sum of n consecutive in

  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: 52905
The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 19 Jul 2017, 22:41
2
16
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

41% (02:21) correct 59% (02:01) wrong based on 141 sessions

HideShow timer Statistics

The sum of m consecutive integers is 8. If the sum of n consecutive integers is m, what is the value of n?

(A) 15
(B) 16
(C) 31
(D) 32
(E) Cannot be determined by the information provided.

_________________

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

Most Helpful Community Reply
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3339
Location: India
GPA: 3.12
Premium Member CAT Tests
The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 20 Jul 2017, 00:18
7
2
If the sum of m consecutive integers is 8, m must be 16.

Starting from -7 to 8 whose sum is 8
The negative integers cancel out the positive integers, except 8, giving us a sum of 8.

Now, the sum of n consecutive integers is 16.
Therefore, n has to be 32(Option D) - range of numbers starting from -15 to 16(15 negative numbers, 1 zero and 16 positive number)
_________________

You've got what it takes, but it will take everything you've got

General Discussion
Intern
Intern
avatar
B
Joined: 19 Apr 2017
Posts: 34
Location: India
WE: Management Consulting (Consulting)
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 19 Aug 2017, 08:11
Can someone please explain how you get to "m must be 16"?
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7334
Premium Member Reviews Badge
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 19 Aug 2017, 08:35
Bunuel wrote:
The sum of m consecutive integers is 8. If the sum of n consecutive integers is m, what is the value of n?

(A) 15
(B) 16
(C) 31
(D) 32
(E) Cannot be determined by the information provided.


Hi..
On why m should be 16 and nothing else..
SUM is 8, and the SUM of any number of consecutive integers will never be 2^x...
example-- if we look at consecutive positive integers it is 1,2,3,4,5,6... Beyond 4, sum of two numbers too goes beyond 8 and other ways to add are 1+2=3, 1+2+3=6, 2+3=5,3+4=7

so it would be 8 itself and that will be possible when numbers are -7,-6,-5,....0,1,2,....6,7,8 here sum will be 8
and number of integers from -7 to 8 are 7 negative integers , 1 zero and 8 positive integers = 7+1+8=16..
so m is 16
again 16 is 2^4, so it will also require 16 as an integer... numbers become -15,-14....0...14,15,16 = 15+1+16=32

D..

only one problem i see if m is 1 that is 1 consecutive integer only 8 then answer does not fit in.
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html


GMAT Expert

Intern
Intern
avatar
B
Joined: 14 Sep 2016
Posts: 10
GMAT ToolKit User
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 19 Aug 2017, 09:26
chetan2u wrote:
Bunuel wrote:
The sum of m consecutive integers is 8. If the sum of n consecutive integers is m, what is the value of n?

(A) 15
(B) 16
(C) 31
(D) 32
(E) Cannot be determined by the information provided.


Hi..
On why m should be 16 and nothing else..
SUM is 8, and the SUM of any number of consecutive integers will never be 2^x...
example-- if we look at consecutive positive integers it is 1,2,3,4,5,6... Beyond 4, sum of two numbers too goes beyond 8 and other ways to add are 1+2=3, 1+2+3=6, 2+3=5,3+4=7

so it would be 8 itself and that will be possible when numbers are -7,-6,-5,....0,1,2,....6,7,8 here sum will be 8
and number of integers from -7 to 8 are 7 negative integers , 1 zero and 8 positive integers = 7+1+8=16..
so m is 16
again 16 is 2^4, so it will also require 16 as an integer... numbers become -15,-14....0...14,15,16 = 15+1+16=32

D..

only one problem i see if m is 1 that is 1 consecutive integer only 8 then answer does not fit in.



is there a way to solve this using Arithmatic Progression sum?
Manager
Manager
avatar
B
Joined: 03 May 2014
Posts: 158
Location: India
WE: Sales (Mutual Funds and Brokerage)
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 21 Aug 2017, 20:25
if we have odd consecutive integers 3 and 5 than m=2 how do we proceed?
Manager
Manager
User avatar
B
Joined: 18 Mar 2015
Posts: 102
Location: India
Schools: ISB '19
GMAT 1: 600 Q47 V26
GPA: 3.59
Reviews Badge
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 28 Aug 2017, 04:59
pushpitkc wrote:
If the sum of m consecutive integers is 8,
m must be 16.
Starting from -7 to 8 whose sum is 8
The negative integers cancel out the positive integers, except 8 giving us a sum of 8.

Now, sum of n consecutive integers is 16.
n has to be 32(Option D) - range of numbers starting from -15 to 16(15 negative numbers, 1 zero and 16 positive number)

took time to understand this logic ..nice explanation
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2827
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 31 Aug 2017, 09:19
Bunuel wrote:
The sum of m consecutive integers is 8. If the sum of n consecutive integers is m, what is the value of n?

(A) 15
(B) 16
(C) 31
(D) 32
(E) Cannot be determined by the information provided.


We are given that the sum of m consecutive integers is 8. We see that the m (assuming m > 1) consecutive integers can’t be all positive because we can’t obtain a sum of 8 from m only-positive consecutive integers.. For example, if m = 2, 3 + 4 = 7, and 4 + 5 = 9, and if m = 3, 1 + 2 + 3 = 6, and 2 + 3 + 4 = 9. Thus, some of the integers must be positive and some must be negative, and we see that one of them must, therefore, be 0.

Since the sum is 8, a positive number, there must be more positive integers than negative integers. However, since the negative integers will cancel out their positive counterparts and we have mentioned that there can’t be 2 (or more) consecutive positive integers that add up to 8, there must be exactly 1 more positive integer than the number of negative integers. Furthermore, that positive integer (that won’t cancel with any of its negative counterparts) must be 8. That is, the m consecutive integers must be:

-7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8

We see that the sum of all the integers from -7 to 8, inclusive, is 8 since the sum of all the integers from -7 to 7, inclusive, is 0. We also see that there are 16 integers in the above list, so m = 16.

Next we are given that the sum of n consecutive integers is m, which we now know is 16. We can use a similar argument to the one above to conclude that the n (assuming n > 1) consecutive integers can’t be all positive. Furthermore, there must be 1 more positive integer than the number of negative integers and that extra positive integer (the one without a negative counterpart) must be 16. That is, the n consecutive integers must be:

-15, -14, …, -1, 0, 1, …, 14, 15, 16

We see that there are 32 integers in the above list since there are 15 negative integers, 1 zero, and 16 positive integers. Thus, n = 32.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

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

Director
Director
avatar
G
Joined: 09 Mar 2018
Posts: 903
Location: India
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in  [#permalink]

Show Tags

New post 11 Feb 2019, 22:42
Bunuel wrote:
The sum of m consecutive integers is 8. If the sum of n consecutive integers is m, what is the value of n?

(A) 15
(B) 16
(C) 31
(D) 32
(E) Cannot be determined by the information provided.


Key word = sum of m consecutive integers is 8,

how can we get that sum ??
Sum of 16 integers from -7 to 8, can help us in that

This 16 = m

Now how can we get 16 ??

Sum of 32 integers from -15 to 16 can help us in that

Therefore n = 32
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

GMAT Club Bot
Re: The sum of m consecutive integers is 8. If the sum of n consecutive in   [#permalink] 11 Feb 2019, 22:42
Display posts from previous: Sort by

The sum of m consecutive integers is 8. If the sum of n consecutive in

  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®.