Question

A certain number is a multiple of 4. Which of the following MUST be a factor of this number? 16 ,8 ,6 ,2​

Answer 1

$\huge\color {pink}\boxed{\colorbox{black} { QUESTION}}$

A certain number is a multiple of 4. Which of the following MUST be a factor of this number? 16 ,8 ,6 ,2

$\huge\color {pink}\boxed{\colorbox{black} { ANSWER}}$

First of all notice that we are asked MUST be a multiple of which of the following, not COULD be a multiple.

is a multiple of 4 --> , for some positive multiple , so can be: 4, 8, 12,

is a multiple of 6 --> , for some positive multiple , so can be: 6, 12, 18,

So, , so is in any case a multiple of 24, which means it must be a multiple of 8 and 12, but not necessarily of 18.

For example the least value of is 4 and the least value of is 6, so the least value of is 24, which is a multiple of both 8 and 12, but not 18.

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Hope it's clear to you

$\sf\red{Thank\:you!}$

Answer 2

First of all notice that we are asked MUST be a multiple of which of the following, not COULD be a multiple.

is a multiple of 4 --> , for some positive multiple , so can be: 4, 8, 12,

is a multiple of 6 --> , for some positive multiple , so can be: 6, 12, 18,

So, , so is in any case a multiple of 24, which means it must be a multiple of 8 and 12, but not necessarily of 18.

For example the least value of is 4 and the least value of is 6, so the least value of is 24, which is a multiple of both 8 and 12, but not 18.

toh Tu aapne Ghar walo se request kar le kya pta maan jaye