Using the digits 1 up to 9, two numbers must be made. The product of these two numbers should be as large as possible. All digits must be used exactly once. The Question: Which are the requested two numbers?

general knowledge math & puzzles

  1. 9642, 87531

  2. 9753, 86421

  3. 98756, 4321

  4. 97531, 8642

Show answer
Correct Option: A

AI Explanation

To maximize the product of two numbers formed using the digits 1 to 9, we need to consider the place value of each digit.

Let's analyze each option:

A. 9642, 87531 The larger number, 87531, is formed by placing the larger digits in the higher place values. This arrangement maximizes the product.

B. 9753, 86421 In this option, the larger number, 86421, has a smaller digit, 6, in the highest place value compared to option A. Therefore, the product will be smaller than option A.

C. 98756, 4321 The larger number, 98756, is formed by placing the larger digits in the higher place values. However, the smaller number, 4321, has the smaller digits in the higher place values compared to option A. Therefore, the product will be smaller than option A.

D. 97531, 8642 In this option, the larger number, 97531, is formed by placing the larger digits in the higher place values. However, the smaller number, 8642, has a smaller digit, 6, in the highest place value compared to option A. Therefore, the product will be smaller than option A.

Therefore, the correct answer is A, where the two numbers are 9642 and 87531.

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