Multiples of 4 between 12 and 96

This topic has expert replies
User avatar
Legendary Member
Posts: 2109
Joined: Sun Apr 19, 2009 10:25 pm
Location: New Jersey
Thanked: 109 times
Followed by:79 members
GMAT Score:640

Multiples of 4 between 12 and 96

by money9111 » Mon Feb 01, 2010 8:34 pm
How many multiples of 4 are there between 12 and 96, inclusive?

a. 21
b. 22
c. 23
d. 24
e. 25

didn't know where to begin with this one either... this is the last question out of my problem set that I did not get... if you'll notice there's a theme with the questions I've just posted... all the same topic... Exponents, Odds & Evens, Postives, Negatives, and Roots were all easy for me... ::sigh::

OA B
My goal is to make MBA applicants take onus over their process.

My story from Pre-MBA to Cornell MBA - New Post in Pre-MBA blog

Me featured on Poets & Quants

Free Book for MBA Applicants


Junior | Next Rank: 30 Posts
Posts: 15
Joined: Mon Nov 23, 2009 6:23 pm
Thanked: 1 times

by kabirmohammed » Mon Feb 01, 2010 8:44 pm
How many multiples of 4 are there between 12 and 96, inclusive?

a. 21
b. 22
c. 23
d. 24
e. 25

Multiples of 4 are : 12, 16, 20, 24, ........, 96
for a evenly spaced set: total no of terms = (last - first)/increment
= 96-12/4
= 21
as the question ask for inclusive = 21+1 =22

User avatar
Legendary Member
Posts: 2109
Joined: Sun Apr 19, 2009 10:25 pm
Location: New Jersey
Thanked: 109 times
Followed by:79 members
GMAT Score:640

by money9111 » Mon Feb 01, 2010 8:52 pm
ah ha... "Last-First/increment"... going in my notecards... thanks!
My goal is to make MBA applicants take onus over their process.

My story from Pre-MBA to Cornell MBA - New Post in Pre-MBA blog

Me featured on Poets & Quants

Free Book for MBA Applicants


Newbie | Next Rank: 10 Posts
Posts: 9
Joined: Sun Mar 11, 2012 7:42 pm

by Cally627 » Sun Apr 29, 2012 9:22 am
quick question,

if the problem mentions "inclusive" - we add the 1.

large - small / 2 + 1


if the problem doesn't mention inclusive - do we not add the 1?

thanks.

User avatar
Master | Next Rank: 500 Posts
Posts: 425
Joined: Wed Dec 08, 2010 9:00 am
Thanked: 56 times
Followed by:7 members
GMAT Score:690

by LalaB » Sun Apr 29, 2012 9:53 am
Cally627 wrote:quick question,

if the problem mentions "inclusive" - we add the 1.

large - small / 2 + 1


if the problem doesn't mention inclusive - do we not add the 1?

thanks.
no.

as for the q. above it can be solved this way-

((96-12)/4) +1=22
Happy are those who dream dreams and are ready to pay the price to make them come true.(c)

In order to succeed, your desire for success should be greater than your fear of failure.(c)

Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Thu Sep 26, 2013 7:52 am

by vinokayal » Thu Sep 26, 2013 7:57 am
Where

First Term = 12

Difference = 4

Last Term = 96

As per the formula

a+(n-1)d

12+(n-1)4 = 96

(n-1)4 = 96-12

(n-1)4 = 84

n-1 = 84/4

n-1 = 21

n=22

12 + (

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Thu Sep 26, 2013 8:03 am
money9111 wrote:How many multiples of 4 are there between 12 and 96, inclusive?

a. 21
b. 22
c. 23
d. 24
e. 25
If you'd rather not memorize formulas, you can also try listing and looking for a pattern.
Let's list the multiples of 4 from 12 to 96 inclusive.

12 = 4(3)
16 = 4(4)
20 = 4(5)
24 = 4(6)
.
.
.
88 = 4(22)
92 = 4(23)
96 = 4(24)

As you can see, the number of multiples of 4 from 12 to 96 inclusive is equal to the number of integers from 3 to 24 inclusive.

Well, we know that the number from integers from x to y inclusive equals y - x + 1

So, the number of integers from 3 to 24 inclusive equals 24 - 3 + 1 = 22

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Thu Sep 26, 2013 11:38 am
Hi All,

Certain versions of these questions can be solved by including (and then removing) elements to "round out" the math.

In this case, it would be pretty easy to count the multiples of 4 from 1 to 100: there are 25 of them......25(4) = 100

So, which multiples of 4 must we REMOVE from this group of 25?

We want 12 to 96, inclusive, so we should REMOVE: 4, 8, 100. That's 3 values.

25 - 3 = 22

Final Answer:B

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1462
Joined: Thu Apr 09, 2015 9:34 am
Location: New York, NY
Thanked: 39 times
Followed by:22 members

by Jeff@TargetTestPrep » Mon Dec 11, 2017 4:11 pm
money9111 wrote:How many multiples of 4 are there between 12 and 96, inclusive?

a. 21
b. 22
c. 23
d. 24
e. 25
We can determine the multiples of 4 from 12 to 96 (inclusive) by using the following formula:

(largest multiple of 4 - smallest multiple of 4)/4 + 1

(96 - 12)/4 + 1 =84/4 + 1 = 21 + 1 = 22

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews