Let S be the set of all ordered pairs (x,y) of positive intergers, with HCF (x,y)=16 and LCM (x,y) = 48000. The number of elements in S is

The number of ordered pairs (x,y) of positive integers satisying 2^(x) + 3^(y) = 5^(xy) is

If HCF(16,y)=8 and LCM(16,y)=48, then the value of y is

Find the number of real ordered pair(s) (x, y) for which: 16^(x^2+y) + 16^(x+y^2) = 1

Find the number of real ordered pair(s) (x,y) for which: 16^(x^(2)+y)+16^(x+y^(2))=1

If HCF(x,y)=18 and xy=630 . Then find LCM(x,y) .

Let Z be the set of all integers and A={(x,y);x^(4)-y^(4)=175,x,y in Z},B={(,),x>y,x,y in Z} Then,the number of elements in A nn B is

How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085?

Consider the system in ordered pairs (x,y) of real numbers sin x+sin y=sin(x+y) , |x|+|y|=1 . The number of ordered pairs (x,y) satisfying the system is

Consider the system in ordered pairs (x,y) of real numbers sin x+sin y=sin(x+y) , |x|+|y|=1 . The number of ordered pairs (x,y) satisfying the system is