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Q.

Statement-I     If 4 divides 28 then 4 is a factor of 28.

Statement-II     Prime factor of the given number is always a factor of that number.

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a

Statement I is True, Statement II is True 

b

Statement I is False, Statement II is False 

c

Statement I is True, Statement II is False 

d

Statement I is False, Statement II is True

answer is A.

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Detailed Solution

I)  4 divides 28. i.e. 28 is exactly divisible by 4. So, factors of 28=1,2,4,7,14,28. Hence 4 is a factor of 28.

II) For example the number is 42.

Factors of 42= 1,2,3,6,7,14,21,42

Prime factors of 42= 2,3,7

Hence 2,3,7 are factors of 42 and also prime factors of 42

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Statement-I     If 4 divides 28 then 4 is a factor of 28.Statement-II     Prime factor of the given number is always a factor of that number.