Math IQ

Statement A : If (X * X)=(Y *Y) then X is always equal to Y.

Statement B: If (X * X * X)=(Y * Y * Y) then X may not be equal to Y.

1. A- true B-false     2. A-false  B- true      3. Both are true.     4. Both are false.




Source: Internet 

Answer

Statement A : (X * X)=(Y *Y)    X may not be always equal to Y because   (1*1)=(-1 * -1) here X # Y

Statement B: X is always equal to Y because if we take a minus number as in the above mentioned case
                         (1*1 *1) # (-1 * -1 * -1)

Both are false.

But if we consider imaginary numbers then statement B will be true. One guy in our company (from UK) gave an excellent answer.

"Statement B depends on whether we are using just integers or extending to include imaginary numbers. If it is just integers the statement is false but if we are using imaginary numbers then the statement is true since there are 3 cubed roots of -1. Y could therefore be -1 and X could be one of the other 2 roots e.g. 1/2 + i* (sqrt(3)/2)."