Question

15 is a common factor of two numbers. Which of these is definitely another common factor of the two numbers?
a) 2
b) 5
c) 10
d) 30

Answer 1

Step-by-step explanation:

5 is the answer

I hope this will help u

Answer 2

5 is definitely another common factor of those two numbers.
Option (b) is the correct option.

Let the number be x and y.

If 15 is a common factor of both the numbers, we can assume that the numbers are divisible by 15.

Some of the numbers which are divisible by 15 are
15 , 30 , 45 , 60 , 75 , 90 , ......................... and so on.

→ If we check all these numbers are not divisible by 2.
  Only the numbers ending with 0 are divisible by 2.

→ If we check all these numbers are divisible by 5.
  For a number to be divisible by 5 it should end with either 5 or 0.
  Here, all the numbers are ending with either 5 or 0.
  So all these numbers are divisible by 5.
  This means 5 is a common factor of all these numbers.

→ If we check all these numbers are not divisible by 10.
  Only the numbers ending with 0 are divisible by 10.

→ If we check all these numbers are not divisible by 30.
  Only the numbers ending with 0 are divisible by 30.

So, with the above observations we see,
that if 15 is a common factor of two numbers
then 5 is definitely another common factor of those two numbers.

Option (b) is the correct answer.

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