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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 88 of 200

Q88
ArithmeticAlgebra, Equations & Operations
If $4 \times 5^x = 500$, then the value of $x^x$ is–
  1. a.8
  2. b.1
  3. c.64
  4. d.27

Answer: (D) 27

Dividing by 4, $5^x = 125 = 5^3$, so $x = 3$. Then $x^x = 3^3 = 27$. 8 and 64 are $2^3$ and $4^3$, which use the wrong base.

If 4 \times 5^x = 500, then the value of x^x is– — WBCS Main Examination 2023 Q88 | Prostuti360°