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Q.

For some integer m, every even integer if of the form of:


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a

m

b

Question Image

c

2 m

d

Question Image 

answer is C.

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Detailed Solution

Concept- Even integers are integers of the type 2 m, where m can be any number, since even integers are integers that are totally divisible by 2.
We are told that if we have the number m, we must identify the form in which every even integer may be represented. So, first and foremost, we must understand what integers are. Integers are any integers (positive, negative, or zero) that are not fractions in their most basic form.
For example: Question Image are all integers while Question Image are all not the integers because when they are converted into the simplest form, they are in the fraction form.
If we want the even numbers, we must select all the integers that have 2 as one of their factors, or in simpler terms, every even integer is totally divisible by 2.
So we can say that Question Image are all the even integers as they can be represented as
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageNow if we see all these together we can notice that all of them have 2 as one of their factors. Thus, they are considered as even integers..
So, if we have any integer Question Image then we can say that if we multiply the integer Question Image by 2 then we will get the even integer as it will be completely divisible by 2
Hence, we can say even integer Question ImageHence, 3 options is the correct answer.
 
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