Question

A third standard teacher gave a simple multiplication exercise to the kids. But one kid reversed the digits of both the numbers and carried out the multiplication and found that the product was exactly the same as the one expected by the teacher. Only one of the following pairs of numbers will fit in the description. Which one is that?

• A. 14, 22
• B. 13, 62
• C. 19, 33
• D. 42, 28

Hint:

When digits are reversed in both numbers but the product remains the same, test pairs systematically.

Answer 1

The Correct Option is C

Let us test each option by reversing the digits and multiplying: Option (a): $14 \times 22 = 308$ Reverse: $41 \times 22 = 902$ — Not same Option (b): $13 \times 62 = 806$ Reverse: $31 \times 26 = 806$ — Not same product Option (c): $19 \times 33 = 627$ Reverse: $91 \times 33 = 3003$ — Wait, mismatch. Try: \[ \text{Check original: } 19 \times 33 = 627
\text{Check reverse: } 91 \times 33 = 3003 \Rightarrow \text{No match} \] Actually, the correct working pair is: Try: $13 \times 62 = 806$ Reverse both: $31 \times 26 = 806$ ✔️ \[ \boxed{(b)~13,~62} \]