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IKMC 2027 - Grades 9-10 - Self-study SET 10 - Thematic Batch 3 Question 27

IKMC · IKMC 2027 - Grades 9-10 - Self-study SET 10 - Thematic Batch 3

Question 27

Positive integers a, b, c, x, y satisfy $ab=x^y$, $bc=x^{3y}y^{2x}$ and $ac=x^{2y}$. Which expression equals b+c?

Question illustration
  1. $(x^y + 1) × y^x$
  2. $x^x × y^y$
  3. $x^{2y} × y^{2x}$
  4. $x^{2y} × (y^{3x} + y^x)$
  5. $(x^y + 1) × x^y × y^x$