According to me, answer should be (B)
Explaination -
Any number (positive integer) can be expressed as a product of its prime factors alone.
Eg:- b= 24, a =12
b as product of primes = 2 x 2 x 2 x3
Prime factors of b are 2 & 3
Now a as product of primes
a= 2 x 2 x 3
Prime factors of a are 2 & 3
Stmt1:- Every prime factor of b is also a prime factor of a.
According to the above example every prime factor of b is a prime factor of a. but A is not multiple of b.Another case, if a was 48, Stmt1 is true, but a is a multiple of b.
Since Stmt1 does not give a definite answer, Stmt1 alone is insufficient to answer the question
choices narrowed to B,C,E
Stmt2:- Every factor of b is a factor of a
Eg:- b = 24 a =72
factors of b = 1,2,3,4,6,12,8,24
factors of a = 1,2,3,4,6,8,9,12,18,24,72
Every factor of b is a factor of a.
For any pair of a and b values satisfying Stmt2 will give the answer as a being a multiple of b, hence it gives a unique answer.
Stmt2 alone is sufficient and Stmt1 alone is not.
Ans is (B)
What is OA?
Someone correct me if I am wrong.
