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

 It is currently 23 May 2019, 00:33

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

How many multiples of 10 are there between 1000 and 2000, inclusive?

Author Message
TAGS:

Hide Tags

Senior Manager
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 498
How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

12 Aug 2010, 09:27
1
00:00

Difficulty:

(N/A)

Question Stats:

89% (00:27) correct 11% (00:16) wrong based on 22 sessions

HideShow timer Statistics

How many multiples of 10 are there between 1000 and 2000, inclusive?

OA:
101

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 55236
Re: How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

12 Aug 2010, 09:44
Baten80 wrote:
How many multiples of 10 are there between 1000 and 2000, inclusive?

Let me to know the calculation process.
Ans.101

Hi, and welcome to Gmat Club! Below is a solution for your problem:

$$# \ of \ multiples \ of \ x \ in \ the \ range = \frac{Last \ multiple \ of \ x \ in \ the \ range \ - \ First \ multiple \ of \ x \ in \ the \ range}{x}+1$$.

For our original question we would have: $$\frac{2,000-1,000}{10}+1=101$$.

Check this: totally-basic-94862.html?hilit=last%20first%20range%20multiple

Hope it helps.
_________________
Senior Manager
Status: Time to step up the tempo
Joined: 24 Jun 2010
Posts: 352
Location: Milky way
Schools: ISB, Tepper - CMU, Chicago Booth, LSB
Re: How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

12 Aug 2010, 09:47
1
My attempt:

1000 - 1100 -- 11
1110 - 1200 -- 10
1210 - 1300 -- 10

1X10 - 1(X+1)00 -- 10

X - 3, 4, 5, 6 ,7 ,8, 9.

Sum them up - 101.
_________________
Support GMAT Club by putting a GMAT Club badge on your blog
Senior Manager
Status: Fighting on
Joined: 14 Mar 2010
Posts: 280
Schools: UCLA (R1 interview-WL), UNC(R2--interview-ding) Oxford(R2-Admit), Kelley (R2- Admit ), McCombs(R2)
WE 1: SE - 1
WE 2: Engineer - 3
Re: How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

12 Aug 2010, 11:27
In general the formula for any series where "d" is the increment or difference between two terms to find the nth term =
An= A1+ (n-1)d
Now we know An =2000
A1=1000
d=10
2000=1000+(n-1)10
=101

OR
Use this
( last -first )/ increment + 1

Posted from my mobile device
GRE Forum Moderator
Affiliations: PMP certified, IT professional
Joined: 21 Jun 2010
Posts: 198
Location: USA
Schools: CMU, Kelley
Re: How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

14 Aug 2010, 09:44
As already discussed, the method is [(Last-First)/Increment ]+1

If you are refering to mgmat by any chance, this is discussed in Chap4 of Number properties
Intern
Joined: 30 Jun 2017
Posts: 16
Location: India
Concentration: Technology, General Management
WE: Consulting (Computer Software)
Re: How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

06 Sep 2017, 22:57
Bunuel wrote:
Baten80 wrote:
How many multiples of 10 are there between 1000 and 2000, inclusive?

Let me to know the calculation process.
Ans.101

Hi, and welcome to Gmat Club! Below is a solution for your problem:

$$# \ of \ multiples \ of \ x \ in \ the \ range = \frac{Last \ multiple \ of \ x \ in \ the \ range \ - \ First \ multiple \ of \ x \ in \ the \ range}{x}+1$$.

For our original question we would have: $$\frac{2,000-1,000}{10}+1=101$$.

Check this: http://gmatclub.com/forum/totally-basic ... 20multiple

Hope it helps.

Hi Bunuel, Thanks for the explanation. However, if the question would have been that how many multiples of 5 are there between -7 and 37, inclusive? Will we consider the last number to be 35 and the first number to be -5?
Math Expert
Joined: 02 Sep 2009
Posts: 55236
Re: How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

06 Sep 2017, 23:07
SinhaS wrote:
Bunuel wrote:
Baten80 wrote:
How many multiples of 10 are there between 1000 and 2000, inclusive?

Let me to know the calculation process.
Ans.101

Hi, and welcome to Gmat Club! Below is a solution for your problem:

$$# \ of \ multiples \ of \ x \ in \ the \ range = \frac{Last \ multiple \ of \ x \ in \ the \ range \ - \ First \ multiple \ of \ x \ in \ the \ range}{x}+1$$.

For our original question we would have: $$\frac{2,000-1,000}{10}+1=101$$.

Check this: http://gmatclub.com/forum/totally-basic ... 20multiple

Hope it helps.

Hi Bunuel, Thanks for the explanation. However, if the question would have been that how many multiples of 5 are there between -7 and 37, inclusive? Will we consider the last number to be 35 and the first number to be -5?

How many multiples of 5 are there between -7 and 37, inclusive?

The first multiple is -5 and the last multiple is 35, so the answer is (35 - (-5))/5 + 1 = 9:
-5, 0, 5, 10, 15, 20, 25, 30 and 35.
_________________
Intern
Joined: 30 Jun 2017
Posts: 16
Location: India
Concentration: Technology, General Management
WE: Consulting (Computer Software)
How many multiples of 10 are there between 1000 and 2000, inclusive?  [#permalink]

Show Tags

06 Sep 2017, 23:11
Bunuel wrote:
SinhaS wrote:
How many multiples of 10 are there between 1000 and 2000, inclusive?

Let me to know the calculation process.
Ans.101

Hi, and welcome to Gmat Club! Below is a solution for your problem:

$$# \ of \ multiples \ of \ x \ in \ the \ range = \frac{Last \ multiple \ of \ x \ in \ the \ range \ - \ First \ multiple \ of \ x \ in \ the \ range}{x}+1$$.

For our original question we would have: $$\frac{2,000-1,000}{10}+1=101$$.

Check this: http://gmatclub.com/forum/totally-basic ... 20multiple

Hope it helps.

Hi Bunuel, Thanks for the explanation. However, if the question would have been that how many multiples of 5 are there between -7 and 37, inclusive? Will we consider the last number to be 35 and the first number to be -5?

How many multiples of 5 are there between -7 and 37, inclusive?

The first multiple is -5 and the last multiple is 35, so the answer is (35 - (-5))/5 + 1 = 9:
-5, 0, 5, 10, 15, 20, 25, 30 and 35.

Thanks. I got it right. Now it's clear.
How many multiples of 10 are there between 1000 and 2000, inclusive?   [#permalink] 06 Sep 2017, 23:11
Display posts from previous: Sort by