For how many integer values of b is `b+3gt0 and 1gt2b-9`?

If a^(3)=117 +b^(3) and a = 3+b , then the value of a+b is (given that a gt 0 and b gt 0 )

If a ^(3) = 335 + b ^(3) and a = 5 + b, then what is the value of a +b (given that a gt 0 and b gt 0 ) ?

Suppose log_(a)b+log_(b)a=c . The smallest possible integer value of c for all a, b gt 1 is -

x and b are real numbers. If b gt 0 and |x| gt b , then

If a and b are any two integers such that a gt b , then a^(2) gt b^(2)

The number of 7 digit integers abcdefg, where a lt b lt c lt d gt e gt f gt g such that a, b, c, d, e, f, g in {1,2,3,…..,9} . Are

The number of 7 digit integers abcdefg, where a lt b lt c lt d gt e gt f gt g such that a, b, c, d, e, f, g in {1,2,3,…..,9} . Are