Consider the following statements:
1.There exists only one prime number p such that (17p+1) is a square.
2.If x is a product of 10 consecutive prime numbers staring from 2,then (x+1) is also a prime number
Which of the above statements are correct?
Let p be a prime number other tha 2 or 5.One would like to express the vulgar fraction 1/p in the form of a recurring decimal.Then the decimal will be
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
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?
