Multiple choice

What is the number that when divided by 7, 9 and 12 leaves the same remainder 1 in each case ?

  1. 253

  2. 352

  3. 505

  4. 523

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A Correct answer
AI explanation

The least common multiple of 7, 9 and 12 is 252. Since the required number leaves a remainder of 1 in each case, it must be of the form 252k plus 1. For k equal to 1, the number is 252 plus 1, which is 253. The result is 253.