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# How many integers between 1 and 200, inclusive, are divisible by both

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VP
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1313
Location: India
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
How many integers between 1 and 200, inclusive, are divisible by both  [#permalink]

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26 Jun 2018, 09:03
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:18) correct 15% (01:23) wrong based on 78 sessions

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How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

1. 8

2. 12

3. 15

4. 16

5. 24

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Intern
Joined: 02 Sep 2015
Posts: 42
Re: How many integers between 1 and 200, inclusive, are divisible by both  [#permalink]

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26 Jun 2018, 09:18
Number should be multiple of 12 and upto 200

12, 24, 36, 48 , 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192 .. above which are > 200

Total: 16

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GPA: 3.5
Re: How many integers between 1 and 200, inclusive, are divisible by both  [#permalink]

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26 Jun 2018, 10:04
1
QZ wrote:
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?

1. 8

2. 12

3. 15

4. 16

5. 24

Take LCM of 3 and 4 = 12

Divide 200/12 = 16.xxx

Hence, Answer must be (D) 16
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Intern
Joined: 03 Mar 2016
Posts: 2
Re: How many integers between 1 and 200, inclusive, are divisible by both  [#permalink]

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14 Jul 2018, 01:29
1
Soln:

LCM of 3 and 4 is = 12.

Need to find multiples of 12 between 1 to 200 ,

First number is 12 and Last number is 192.

# of Multiples of 12 = 192 - 12 / 12 + 1 = 180 / 12 + 1 = 15+1 = 16.

Thanks.
CS.
Re: How many integers between 1 and 200, inclusive, are divisible by both &nbs [#permalink] 14 Jul 2018, 01:29
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# How many integers between 1 and 200, inclusive, are divisible by both

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