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# How many integers between 100 and 150, inclusive, can be

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CEO
Joined: 15 Aug 2003
Posts: 3467
Followers: 61

Kudos [?]: 718 [0], given: 781

How many integers between 100 and 150, inclusive, can be [#permalink]  01 Oct 2003, 15:26
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Question Stats:

0% (00:00) correct 100% (00:03) wrong based on 4 sessions
How many integers between 100 and 150, inclusive, can be evenly
divided by neither 3 nor 5?
33
28
27
26
24

what does "evenly divided " mean?
Manager
Joined: 26 Aug 2003
Posts: 233
Location: United States
Followers: 1

Kudos [?]: 2 [0], given: 0

[#permalink]  01 Oct 2003, 18:00
26?

Evenly divided = no remainder left (or zero remainder)
Manager
Joined: 26 Aug 2003
Posts: 233
Location: United States
Followers: 1

Kudos [?]: 2 [0], given: 0

[#permalink]  02 Oct 2003, 05:11
MartinMag wrote:
I get 27...

Actually, you're right. 27 is right. I missed to count 150 among the set.
SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

[#permalink]  09 Jan 2004, 11:21
I think it should be 24 because numbers divisible by 15 are added twice.
Numbers divisible by 3 = 17
Numbers divisible by 5 = 11
Number divisible by 15 = 4
So 17+11-4 = 24

Please correct me if I am wrong.
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

[#permalink]  09 Jan 2004, 11:29
the question says neither divided by 3 or 5 .. so it should be subtracted .. i am getting 21.. can u show me working .pl
_________________

shubhangi

SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

[#permalink]  09 Jan 2004, 11:43
Numbers divisible by 3 start from 102 and end at 150
so total numners are (150-102)/3 + 1 = 17

Numbers divisible by 5 start from 100 and end at 150
So total numbers are (150-100)/5 + 1 = 11

Total Numbers divisible by 15 start from 105 and end at 150
So total numbers are (150-105)/15 + 1 = 4

So 17+11-4 = 24
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

[#permalink]  09 Jan 2004, 12:15
so these 24 numbers are divided by 3 or 5 right..but the question says that which are not divisible by 3 or 5 ..should'nt it be subtracted
_________________

shubhangi

SVP
Joined: 30 Oct 2003
Posts: 1794
Location: NewJersey USA
Followers: 5

Kudos [?]: 43 [0], given: 0

[#permalink]  09 Jan 2004, 12:17
Opps Sorry

Then the answer is 27 because there 51 numbers from 100-150
So 51-24 = 27
Senior Manager
Joined: 30 Aug 2003
Posts: 325
Location: dallas , tx
Followers: 1

Kudos [?]: 9 [0], given: 0

[#permalink]  09 Jan 2004, 12:20
OH MY GOD!! i spent like 10 mins to get it .. i thought i was doin wrong or somthing..
_________________

shubhangi

[#permalink] 09 Jan 2004, 12:20
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# How many integers between 100 and 150, inclusive, can be

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