Consider the following statements: (I) If `x and y` are composite numbers, then `x\ +\ y` is always composite. (2) There does not exits a natural number which is neither prime nor composite. Which of the above statements is/are correct? (a) 1 only (b) 2 only (c) Both 1 and 2 (d) Neither 1 nor 2

The number which is neither prime nor composite is

The smallest number which is neither prime no composite is 0 (b) 1 (c) 2 (d) 3

Consider the following statements for the sequence of numbers given below: 11,1111111,11111,..... Each number can be expressed in the form (4m+3), where m is a natural number.Some numbers are squares. Which of the above statements is/are correct? (a) 1only (b) 2only (c) Both 1and 2(d) neither 1nor 2

Consider the following statements: 1. a^n+b^n is divisible by a+b if n=2k+1, where k is a positive integer. 2. a^n-b^n is divisible by a-b if n=2k , where k is a positive integer. Which of the statements given above is /are correct? (a) 1 only (b) 2 only (c) both 1 and 2 (d) Neither 1 nor 2

Consider the following statements about natural numbers: There exists a smallest natural number. There exists a largest natural number. Between two natural numbers, there is always a natural number. Which of the above statements is/are correct? None (b) Only1 (c) 1 and 2 (d) 2 and 3

Consider the following statements: 1. The ministers during the Sultanate period were appointed and dismissed by the Sultan. 2. Khajain-ul-Futuh dealt with the military expeditions of Alauddin Khilji. Which of the above statements is/are correct? a) 1 only b) 2 only c) Both 1 and 2 d) Neither 1 nor 2

Consider the following two statements : I. if n is a composite number, then n divides (n – 1)! II. There are infinitely many natural numbers n such that n^3 + 2n^2 + n divides n!. Then

Consider the following two statements : I. If n is a composite number, then n divides (n - 1)!. II. There are infinitely many natural numbers n such that n^(3)+2n^(2)+n divides n!. Then