The Maximum Bonus that one can get under the “Bonus

if 2^x +3^y =7 and 2^x+2 -3^y+2 =7, then find the value of x and y.

If (a + b + c) = 18 and (ab + bc + ca) = 100, then find the value of (a² + b² + c²).

Given that (3a + 7b = 54) and (ab = 24), determine the value of (9a² + 49b²).

Which of the following statements is correct?

I. If x = 12, y = –2 and z = –10, then x³ + y³

+ z³ = 360

A dishonest dealer claims to sell goods at cost price but uses a false weight of 900g instead of 1kg. What is his profit percentage?