It is currently 22 Nov 2017, 02:58

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4343

Kudos [?]: 3052 [0], given: 0

GPA: 3.82
What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

20 Sep 2017, 00:58
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:38) correct 32% (00:45) wrong based on 109 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
[Reveal] Spoiler: OA

_________________

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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Last edited by Bunuel on 20 Sep 2017, 09:30, edited 2 times in total.
Renamed the topic and edited the question.

Kudos [?]: 3052 [0], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42302

Kudos [?]: 133014 [1], given: 12402

Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

20 Sep 2017, 01:17
1
KUDOS
Expert's post
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
_________________

Kudos [?]: 133014 [1], given: 12402

Intern
Status: Do. Or not do. There is no try.
Joined: 22 Apr 2015
Posts: 2

Kudos [?]: 6 [1], given: 3

Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

20 Sep 2017, 03:26
1
KUDOS
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).

Kudos [?]: 6 [1], given: 3

Director
Joined: 22 May 2016
Posts: 995

Kudos [?]: 344 [1], given: 594

Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

20 Sep 2017, 08:13
1
KUDOS
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

Kudos [?]: 344 [1], given: 594

Math Expert
Joined: 02 Sep 2009
Posts: 42302

Kudos [?]: 133014 [1], given: 12402

Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

20 Sep 2017, 09:32
1
KUDOS
Expert's post
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.
_________________

Kudos [?]: 133014 [1], given: 12402

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4343

Kudos [?]: 3052 [0], given: 0

GPA: 3.82
What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

24 Sep 2017, 19:23
=>

$$\frac{(2^6 - 2^5)}{4} + 1$$ = $$\frac{32}{4}$$ + 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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Last edited by MathRevolution on 29 Sep 2017, 22:06, edited 1 time in total.

Kudos [?]: 3052 [0], given: 0

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1821

Kudos [?]: 940 [1], given: 3

Location: United States (CA)
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

25 Sep 2017, 18:02
1
KUDOS
Expert's post
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

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Kudos [?]: 940 [1], given: 3

Intern
Joined: 19 Sep 2017
Posts: 2

Kudos [?]: 0 [0], given: 0

Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

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?

Kudos [?]: 0 [0], given: 0

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4343

Kudos [?]: 3052 [0], given: 0

GPA: 3.82
Re: What is the number of multiples of 4 between 2^5 and 2^6, inclusive? [#permalink]

### Show Tags

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.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Kudos [?]: 3052 [0], given: 0

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