Question 89

Logical Reasoning Puzzles Easy

If 9 × 3 + 8 = 24, 10 × 2 + 7 = 35 and 80 × 40 + 3 = 6, then find the value of 12 × 4 + 3 = ?

(A) 7
(B) 9
(C) 12
(D) 16
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

Quick Solution

In this type of puzzle, the mathematical symbols like `×` and `+` don't represent their usual functions. We need to find the hidden pattern from the given examples.


1. Discover the Pattern

Let's analyze the first example: 9 × 3 + 8 = 24.

If we label the numbers A, B, and C (so the expression is A × B + C), we can see a consistent rule. The pattern is to multiply the first and third numbers (A and C) and then divide the result by the second number (B).

(9 × 8) ÷ 3 = 72 ÷ 3 = 24

So, the hidden rule is: (First Number × Third Number) ÷ Second Number.


2. Verify the Pattern

Let's quickly check if this rule holds true for the other examples:

  • For 10 × 2 + 7 = 35:

    (10 × 7) ÷ 2 = 70 ÷ 2 = 35. (The rule works!)
  • For 80 × 40 + 3 = 6:

    (80 × 3) ÷ 40 = 240 ÷ 40 = 6. (The rule works!)

The pattern is consistent across all examples.


3. Solve the Final Question

Now we can apply our confirmed rule to the final problem: 12 × 4 + 3.

(12 × 3) ÷ 4 = 36 ÷ 4 = 9


Final Answer: The value is 9.