NIMCET 2024 — Reasoning PYQ

1. Analysis of the Given Pair ($8:4$):

The numbers $8$ and $4$ are powers of the same base, $2$.

• $8=2^3$ (Cube of 2)

• $4=2^2$ (Square of 2)

2. Logical Pattern:

The pattern follows the mathematical form:

3. Applying the Logic to Options:

We check which option satisfies $n^3:n^2$:

• For Option (A): $27$ and $9$ are powers of $3$.

  $$27=3^3$$
  $$9=3^2$$

  Since both numbers use the same base ($n=3$), this pair matches the logic.

• For other options like $6:3$ or $45:5$, they do not follow the $n^3:n^2$ relationship.

 

Final Answer: