Question

What is the name given to the set of numbers which are multiple of 2 ?
A. odd
B. even
C. prime
D. composite

Answer 1

Hint: Let us write the definition of odd, even, prime and composite numbers. So, it becomes easy to identify the set of numbers which are multiple of two.

Complete step-by-step answer:
As we know that if x is any number then it will be odd only if it is not exactly divisible 2, or we can say that if we divide x by 2 then it will give us remainder equal to 1.
So, if a number is a multiple of 2 (i.e. multiplied by 2) then if we divide that number by 2 then it will not give us a remainder equal to 1. So, numbers which are multiple of 2 are not odd numbers.
Now as we know that if x will be an even number then it will be exactly divisible by 2, or we can say that if we divide x by 2 then it will give us a remainder equal to 0.
So, if a number is a multiple of 2 (i.e. multiplied by 2) then if we divide that number by 2 then it will not give us a remainder equal to 0. So, numbers which are multiple of 2 are even numbers.
But questions can also have more than one answer. So, we had to check other options also.
As we know that any number x will only be a prime number if it is greater than 0 and is divisible (gives remainder 0) by 1 and the number itself (i.e. x).
But if the number is a multiple of 2 then obviously it will also be divisible by 2. So, a set of numbers which are multiple of 2 cannot be prime numbers.
Now if x is any number than x only be a composite number if it is greater than 0 and is divisible (gives remainder 0) by 1, number itself (i.e. x) and any other number less than x.
But if the number is a multiple of 2 then obviously it will also be divisible by 2 (other number less than x). But some negative numbers are also multiple of 2 and as we know that composite numbers are positive. So, a set of numbers which are multiple of 2 cannot be composite numbers.
So, numbers which are multiple of 2 are also known as even numbers.
Hence, the correct option will be B.

Note: Whenever we come up with this type of problem then we should check all the options because there can be more than one option correct. And we should first, write the definitions of different types of numbers. And remember that numbers which are multiples of 2 and are positive numbers are also known as composite numbers because composite numbers are divisible by 1, number itself and any other number (here 2). But if the number is negative then it cannot be a composite number.