It is currently 21 Sep 2017, 16:10

### 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

# ps- number of integers

Author Message
Intern
Joined: 07 Sep 2008
Posts: 25

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

### Show Tags

06 Oct 2008, 16:06
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

what is the total number of integers between 100 and 200 that are divisible by 3?

ans:33

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

SVP
Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [0], given: 0

Re: ps- number of integers [#permalink]

### Show Tags

07 Oct 2008, 00:00
My approach:

3 * 33 = 99
3 * 66 = 198

Hence, number of integers between 100 and 200 and divisible by 3 will be 66-33 = 33.

Kudos [?]: 278 [0], given: 0

Intern
Joined: 07 Sep 2008
Posts: 25

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

Re: ps- number of integers [#permalink]

### Show Tags

07 Oct 2008, 05:59
Thank you both. I don't really understand neither of these two answers.

Why you multiply 3 x 33 and then 3 x 66?

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

Intern
Joined: 07 Sep 2008
Posts: 25

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

Re: ps- number of integers [#permalink]

### Show Tags

07 Oct 2008, 06:02
can you please explain your reasoning behind this? Why 198-102/3 and not 200-100/3?

ritula wrote:
(198-102)/3 +1=33

andreasonlinegr wrote:
what is the total number of integers between 100 and 200 that are divisible by 3?

ans:33

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

SVP
Joined: 05 Jul 2006
Posts: 1742

Kudos [?]: 418 [1], given: 49

Re: ps- number of integers [#permalink]

### Show Tags

07 Oct 2008, 10:18
1
KUDOS
[quote="andreasonlinegr"]can you please explain your reasoning behind this? Why 198-102/3 and not 200-100/3?

the first and the last multiples of 3 in the given range

however you can still use 200-100/3 = 33.3333 ( the number of multiples cant be a fraction thus still answer is 33.

if the result is 33.9 still only 33 multiples of 3 are there

Kudos [?]: 418 [1], given: 49

SVP
Joined: 17 Jun 2008
Posts: 1540

Kudos [?]: 278 [0], given: 0

Re: ps- number of integers [#permalink]

### Show Tags

08 Oct 2008, 01:45
andreasonlinegr wrote:
Thank you both. I don't really understand neither of these two answers.

Why you multiply 3 x 33 and then 3 x 66?

The first number that will be in the range of 100-200 and divisible by 3 will be 3*34. Similarly, the last such number will be 3*66.

In orde to take into account the first number, I should consider the number before 100 that is divisible by 3 and that is why 3*33.

Kudos [?]: 278 [0], given: 0

Intern
Joined: 30 Sep 2008
Posts: 10

Kudos [?]: 1 [0], given: 0

Re: ps- number of integers [#permalink]

### Show Tags

08 Oct 2008, 13:47
yezz wrote:
andreasonlinegr wrote:
can you please explain your reasoning behind this? Why 198-102/3 and not 200-100/3?

the first and the last multiples of 3 in the given range

however you can still use 200-100/3 = 33.3333 ( the number of multiples cant be a fraction thus still answer is 33.

if the result is 33.9 still only 33 multiples of 3 are there

Dumb question: Why take multiples, subtract them and then divide by 3? Is there a formula for that?

Kudos [?]: 1 [0], given: 0

SVP
Joined: 05 Jul 2006
Posts: 1742

Kudos [?]: 418 [0], given: 49

Re: ps- number of integers [#permalink]

### Show Tags

08 Oct 2008, 14:08
piper wrote:
yezz wrote:
andreasonlinegr wrote:
can you please explain your reasoning behind this? Why 198-102/3 and not 200-100/3?

the first and the last multiples of 3 in the given range

however you can still use 200-100/3 = 33.3333 ( the number of multiples cant be a fraction thus still answer is 33.

if the result is 33.9 still only 33 multiples of 3 are there

Dumb question: Why take multiples, subtract them and then divide by 3? Is there a formula for that?

every 3 consecutive intigers has a multiple of 3 ..... right??

when you subtract the higher and lower values in the given range you get the total no on intigers in that range......right

then when u devide that number by 3 ( from every 3 consecutive initgers there is a multiple of 3 above ) you will know how many ( groups of 3 consecutives are there and hence you will no the number of multiples of 3)

hope i am clear

Kudos [?]: 418 [0], given: 49

Intern
Joined: 30 Sep 2008
Posts: 10

Kudos [?]: 1 [0], given: 0

Re: ps- number of integers [#permalink]

### Show Tags

08 Oct 2008, 14:34
yezz wrote:
every 3 consecutive intigers has a multiple of 3 ..... right??

when you subtract the higher and lower values in the given range you get the total no on intigers in that range......right

then when u devide that number by 3 ( from every 3 consecutive initgers there is a multiple of 3 above ) you will know how many ( groups of 3 consecutives are there and hence you will no the number of multiples of 3)

hope i am clear

Wow, beautifully explained! Thank you.

Kudos [?]: 1 [0], given: 0

Re: ps- number of integers   [#permalink] 08 Oct 2008, 14:34
Display posts from previous: Sort by