Multiple choice general knowledge math & puzzles

  1. The sum of my two digits is the same as the product of my two digits. I am a multiple of 11. What number am I?

  1. 20

  2. 23

  3. 24

  4. 22
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For 22, both digits are 2, so the sum (2+2=4) equals the product (2×2=4). Also, 22 is a multiple of 11 (22 = 11 × 2). Options 20 and 24 are not multiples of 11, and for 23, the sum is 5 but the product is 6.

AI explanation

To solve this problem, let's break down the given information step by step:

  1. The sum of the two digits is the same as the product of the two digits.
  2. The number is a multiple of 11.

Let's analyze each option to determine which one satisfies these conditions:

Option A) 20: The sum of the digits is 2, and the product of the digits is 0. This option does not satisfy the condition that the sum should be equal to the product, so it is incorrect.

Option B) 23: The sum of the digits is 5 (2 + 3), and the product of the digits is 6 (2 * 3). This option does not satisfy the condition that the sum should be equal to the product, so it is incorrect.

Option C) 24: The sum of the digits is 6 (2 + 4), and the product of the digits is 8 (2 * 4). This option does not satisfy the condition that the sum should be equal to the product, so it is incorrect.

Option D) 22: The sum of the digits is 4 (2 + 2), and the product of the digits is 4 (2 * 2). This option satisfies the condition that the sum is equal to the product. Additionally, 22 is a multiple of 11 (11 * 2). Therefore, option D is the correct answer.

So, the correct answer is D) 22.

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