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

It is currently 19 Sep 2018, 00:16

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

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

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

Hide Tags

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6206
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post Updated on: 20 Sep 2017, 09:30
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:38) correct 29% (00:43) wrong based on 129 sessions

HideShow timer Statistics

[GMAT math practice question]

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

A. 8
B. 9
C. 10
D. 11
E. 12

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"


Originally posted by MathRevolution on 20 Sep 2017, 00:58.
Last edited by Bunuel on 20 Sep 2017, 09:30, edited 2 times in total.
Renamed the topic and edited the question.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49251
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post 20 Sep 2017, 01:17
1
MathRevolution wrote:
[GMAT math practice question]

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

A. 8
B. 9
C. 10
D. 11
E. 12


Similar questions:
https://gmatclub.com/forum/what-is-the- ... 41446.html
https://gmatclub.com/forum/what-is-the- ... 33779.html
_________________

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

Intern
Intern
avatar
B
Status: Do. Or not do. There is no try.
Joined: 22 Apr 2015
Posts: 2
GMAT ToolKit User
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post 20 Sep 2017, 03:26
1
MathRevolution wrote:
[GMAT math practice question]

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

A. 8
B. 9
C. 10
D. 11
E. 12


In my sense it could be B (9) but OA shows its A (8).

My calculation follows 2^5 (32) to 2^6 (64) inclusive, we have multiples of 4:
32, 36, 40, 44, 48, 52, 56, 60 and 64 (counting 9).
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1973
Premium Member CAT Tests
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post 20 Sep 2017, 08:13
1
MathRevolution wrote:
[GMAT math practice question]

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

A. 8
B. 9
C. 10
D. 11
E. 12

Bunuel or MathRevolution , is the OA correct? I get the same answer as mhsagor67. OA says Answer A. I think it is Answer B.

One approach:

The number of multiples between 2^5 and 2^6, inclusive, I think should be

Number of terms in arithmetic sequence of multiples is

\(\frac{(Last-First)}{(Increment)} + 1\)

Last Term is \(2^6 = 64\)
First Term is \(2^5 = 32\)

\(\frac{(64-32)}{4} = 8 + 1 = 9\) multiples of 4

Another approach: List multiples. 2\(^5\) = 32, 2\(^6\) = 64

32, 36, 40, 44, 48, 52, 56, 60, 64. There are 9 multiples of 4.

If the answer is 8 (and I can't understand why with inclusive counting we should calculate this way), it seems to come from
2\(^6\) - 2\(^5\) =
2\(^5\)(2 - 1) = 2\(^5\) = 34
32/4 = 8 (??)

I think the Answer is B
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49251
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post 20 Sep 2017, 09:32
1
genxer123 wrote:
MathRevolution wrote:
[GMAT math practice question]

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

A. 8
B. 9
C. 10
D. 11
E. 12

Bunuel or MathRevolution , is the OA correct? I get the same answer as mhsagor67. OA says Answer A. I think it is Answer B.

One approach:

The number of multiples between 2^5 and 2^6, inclusive, I think should be

Number of terms in arithmetic sequence of multiples is

\(\frac{(Last-First)}{(Increment)} + 1\)

Last Term is \(2^6 = 64\)
First Term is \(2^5 = 32\)

\(\frac{(64-32)}{4} = 8 + 1 = 9\) multiples of 4

Another approach: List multiples. 2\(^5\) = 32, 2\(^6\) = 64

32, 36, 40, 44, 48, 52, 56, 60, 64. There are 9 multiples of 4.

If the answer is 8 (and I can't understand why with inclusive counting we should calculate this way), it seems to come from
2\(^6\) - 2\(^5\) =
2\(^5\)(2 - 1) = 2\(^5\) = 34
32/4 = 8 (??)

I think the Answer is B


Yes, the OA should be B Edited. Thank you.
_________________

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

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6206
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post Updated on: 29 Sep 2017, 22:06
=>

\(\frac{(2^6 - 2^5)}{4} + 1\) = \(\frac{32}{4}\) + 1 = 8 + 1 = 9

Ans: B
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"


Originally posted by MathRevolution on 24 Sep 2017, 19:23.
Last edited by MathRevolution on 29 Sep 2017, 22:06, edited 1 time in total.
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3497
Location: United States (CA)
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post 25 Sep 2017, 18:02
1
MathRevolution wrote:
[GMAT math practice question]

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

A. 8
B. 9
C. 10
D. 11
E. 12


2^5 = 32 and 2^6 = 64. So, we need to determine how many multiples of 4 there are from 32 to 64 inclusive:

(64 - 32)/4 + 1 = 32/4 + 1 = 9

Answer: B
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Intern
Intern
avatar
B
Joined: 19 Sep 2017
Posts: 1
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post 26 Sep 2017, 19:55
If the question has the word Inclusive, looking for factors between two numbers, will we always add 1. So making the answer 8+1. And if Exclusive does that mean we do not +1 so answer would be 8?
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6206
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive?  [#permalink]

Show Tags

New post 29 Sep 2017, 22:08
brtboy wrote:
If the question has the word Inclusive, looking for factors between two numbers, will we always add 1. So making the answer 8+1. And if Exclusive does that mean we do not +1 so answer would be 8?


The formula is (Last - First)/Difference + 1.
\(\frac{( 2^6 - 2^5 )}{4} + 1 = \frac{(64 -32)}{4} + 1 = \frac{32}{4} + 1 = 8 + 1 = 9\)
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? &nbs [#permalink] 29 Sep 2017, 22:08
Display posts from previous: Sort by

What is the number of multiples of 4 between 2^5 and 2^6, inclusive?

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

Events & Promotions

PREV
NEXT


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®.