If `x` is prime, `y` is a composite number such that `x+y=240` and their LCM is 4199. Find `x\ a n d\ ydot`

If m is prime,n is a composite number and m+n=240 also their LCM is 4199. Find m and n.

Find the A.M. between: (x-y)a n d\ (x+y)

If x ={Non-prime numbers } and Y= {Non composite numbers },then n(x cap Y) _______.

If x, y, z are natural numbers such that LCM(x, y) =2744, LCM(y, z) = 1372 and LCM(z, x) = 2744, then the number of triplets of (x, y, z) is 'n' where sum of the digits of n is

If a and b are distinct positive primes such that root(3)(a^6b^(-4))=a^x b^(2y), find x\ a n d\ y .

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