Tag: maths

$p = 4, 4\div 2 = 2$
$p + 2 = 4 +2, 6\div 2 = 3$
$p + 4 = 4 + 4, 8\div 2 = 4$
Product is divisible by $2.$
Therefore, $C$ is the correct answer.

$3$ is not a positive multiple of $12$ as it is smaller than $12$.
Rest others are multiples of $12$.

Multiples of $ 3 = 3, 6, 9, 12, 15, 18.. $
Multiples of $ 4 = 4, 8, 12, 16, 20.. $

The first common multiple will be $ 12 $

And the next common multiples will be multiples of $ 12 $

Hence, first four common multiples of $ 3, 4 $ are $ 12, 24, 36, 48 $

Multiples of $ 3 = 3, 6, 9, 12, 15, 18.. $
Multiples of $ 4 = 4, 8, 12, 16, 20.. $

Multiples of $ 6 = 6, 12, 18, 36.. $ 

The first common multiple will be $ 12 $

And the next common multiples will be multiples of $ 12 $

Hence, first four common multiples of $ 3, 4, 6 $ are $ 12, 24, 36, 48 $

First six multiples of  $ 13 = 13\times 1+13\times 2+13\times 3+13\times 4+13\times 5+13\times 6$

Multiples of $ 8 = 8, 16, 24, 32, .. $
Multiples of $ 12 = 12, 24, 36, 48... $

The first common multiple will be $ 24 $

And the next common multiples will be multiples of $ 24 $

Hence, first four common multiples of $ 8, 12 $ are $ 24, 48, 72, 96  $

First six multiples of $ 17 =  17, 34, 51, 68, 85$ and $102. $

LCM of A and B is B it means that B is multiple of A. LCM of B and C is C it means C is multiple of B or we can say that C is multiple of A also.

first five multiple of 6 are 

Number which has a multiple of all the numbers from 1 to 10 will be multiple of their LCM.