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How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 02:51
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How many integers between 1 and 200, inclusive, are divisible by both 3 and 4?
A. 8
B. 12
C. 15
D. 16
E. 24
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 03:00
In this sequence we need just numbers which are divisible by 12.
Totally we have 200 numbers.
200/12 ~=16
Option (D)
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 03:04
Bunuel wrote:
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4? A. 8 B. 12 C. 15 D. 16 E. 24
# of integers divisible by both 3 & 4 are divisible by 12
= [200/12] = 16
IMO D
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How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 03:11
In order to make this process work for all cases, would the best approach be to First, find the least common multiple (“LCM”)of the two numbers 3 and 4, then divide by the LCM? The answer would be the same (explained above).Posted from my mobile device
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 03:18
It has to be multiple of 12 and there are 16 multiples of 12 Hence 16Posted from my mobile device
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 05:03
Q. How many integers between 1 and 200, inclusive, are divisible by both 3 and 4? LCM of 3 and 4 is 12. We need to look for multiples of 12 up to 200. First multiple of 12 is 12. Last multiple of 12 is 192 Total integers = (192 - 12)/12 + 1 => 15+1 = 16. Ans - D.
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 11:14
Bunuel wrote:
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4? A. 8 B. 12 C. 15 D. 16 E. 24
LCM of 3,4 = 12 so
integers divisible from 1 to 200 ; 200/12 ; 16
IMO D
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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11 Jul 2019, 14:32
we have to find the LCM for both 3 and 4. least common multiple is 3x4=12 first multiple=12 last multiple =12x16=192 total number of integers =(192 - 12)/12 + 1 =16 ==> choice D
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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12 Jul 2019, 18:58
Bunuel wrote:
How many integers between 1 and 200, inclusive, are divisible by both 3 and 4? A. 8 B. 12 C. 15 D. 16 E. 24
The number of integers divisible by 3 and 4 is equal to the number of integers divisible by 12:
(192 - 12)/12 + 1 = 16
Answer: D
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Re: How many integers between 1 and 200, inclusive, are divisible by both
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13 Jul 2019, 00:21
Instead of calculating with ((192-12)/12) + 1 == 15 + 1 == 16 Why cant we just do 192/12 == 16?Posted from my mobile device
Re: How many integers between 1 and 200, inclusive, are divisible by both
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13 Jul 2019, 00:21