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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 150 of 200

Q150
ArithmeticAlgebra, Equations & Operations
The roots of the equation $\frac{x^2}{x} = 6$
  1. a.0
  2. b.6
  3. c.0, 6
  4. d.−6

Answer: (B) 6

The expression $\frac{x^2}{x}$ is not defined at $x = 0$, so 0 cannot be a root. For $x \ne 0$ it equals $x$, so $x = 6$. Option C wrongly keeps the root 0 that appears after multiplying through by $x$.

The roots of the equation \frac{x^2}{x} = 6 — WBCS Main Examination 2023 Q150 | Prostuti360°