Let x,y be pair of integer such that `0 < x,y < 2018.` If x,y exceeds their G.M. by 3, then number of such pairs is

Let x, y are integers such that 81^x - 4^y = 17 , then 2x+3y is

Let x and y be positive integers such that x is prime and y is composite. Which of the following statements are correct ? 1 (y-x) can be an even integer 2 xy can be an even integer 3 0.5 (x+y) can be an even integer Select the correct answer using the code given below:

The number of pairs (x,y) of positive integers such that sqrt(x)+sqrt(y)=sqrt(1980)

Let f be a funcation defined on the set of all positive integers such that f (x) +f(y) for all postive integers x,y,if f (12) =24 and f(8) =15 the value of f(48) is

Let 'a' be an integer. If there are 10 inegers satisfying the ((x-a)^(2)(x-2a))/((x-3a)(x-4a))le0 then

Let n be a positive integer.Prove that the relation R on the set Z of all integers numbers defined by (x,y)in R hArr x-y is divisible by n, is an equivalence relation on Z .

Let n be a four-digit integer in which all the digits are different.If x is number of odd integers and y is number of even integers, then a.x y c.x+y=4500 d.|x-y|=54