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

Question

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

Mohammadmo · Answer

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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Kinshook · Answer

# of integers divisible by both 3 & 4 are divisible by 12

=   = 16

IMO D

jbrandl1 · Answer

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).

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ashudhall · Answer

It has to be multiple of 12 and there are 16 multiples of 12
Hence 16

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Woody19 · Answer

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.

Archit3110 · Answer

LCM of 3,4 = 12 so 
integers divisible from 1 to 200 ; 200/12 ; 16
IMO D

GeorgeKo111 · Answer

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

ScottTargetTestPrep · Answer

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

kheraarj · Answer

Instead of calculating with

((192-12)/12) + 1 == 15 + 1 == 16

Why cant we just do 192/12 == 16?

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ramlk · Answer

A number that is divisble by both 3 & 4 will also be divisible by 12 (12 is the LCM of 3x4)
So basically you want to find the total cases where a number is divisible by 12.

Lets consider few such numbers - 12,24,36,48.........
As obvious each of them has a difference of 12 from the previous one (36-24=12, 48-36 =12)

So dividing 200 by 12 will give you the required answer i.e. 16
If not satisfied, u can cross-check by writing down the complete series.

walterwhite756 · Answer

For dividing by both 3 and 4, means it should be divided with 12.

From 1 to 200, 16 multiples of 12 exist hence Option D is answer.

bumpbot · Answer

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

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

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