The HCF and LCM of two polynomials are (x+y) and (3x^5+5x^4y+2x³y²-3x²y³-5xy^4-2y^5) respectively.If one of the polynomials is x²-y²,then the other polynomial is

Consider the following statements for the sequence of numbers given below

11,111,1111,11111,...

1.Each number can be expressed in the form (4m+3),where m is a natural number

2.Some numbers are squares

Which of the above statements are correct?

If n is a natural number and n=p1^x1*p2^x2*p3^x3,where p1,p2 and p3 are distinct prime factors,then number of prime factors of n is

Let A and B be finite non-empty sets with the number of elements in  A=m and number of elements in B=n.Let m>n.If for some integer k>=1,the number of non-empty subsets of A=2^k+number of non-empty subsets of B,then which one of the following is correct?

What are the possible solutions of the equation x^√x=√[(x^x)]^n,where x and n are positive integers?²

An automobile financer claims to be leding money at S.I but he includes the interest every 6 months for calculating the principal.If he charging at the rate of 10%,effective rate of interest becomes