NIMCET 2021 — Reasoning PYQ

The standard mathematical symbols $\times$ and $+$ do not represent actual multiplication and addition. Instead, they represent a specific logic: the multiplication sign ($\times$) actually represents division ($/$), and the addition sign ($+$) represents multiplication ($\times$).

Let the given expression be formatted as

$$A\times B+C=\text{Result}$$

The actual pattern being followed is:

$$\text{Result}=\left(\frac{A}{B}\right)\times C$$

Let's verify this pattern with the given conditions:

• Condition 1:

  $$9\times 3+8⟹\left(\frac{9}{3}\right)\times 8=3\times 8=24$$

  (True)

• Condition 2:

  $$10\times 2+7⟹\left(\frac{10}{2}\right)\times 7=5\times 7=35$$

  (True)

• Condition 3:

  $$80\times 40+3⟹\left(\frac{80}{40}\right)\times 3=2\times 3=60$$

Applying the same logic to the final expression:

$$12\times 4+3⟹\left(\frac{12}{4}\right)\times 3$$

$$=3\times 3=9$$

Therefore, the value is 9.