Multiple choice

A 2-digit number when successively divided by 2, 3, 4 and 5 leaves remainders 1, 0, 1 and 3, respectively. Find the number.

  1. 93

  2. 63

  3. 75

  4. 79

  5. 97
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Testing the options: 79 divided by 2 leaves 1. 79/2 = 39 R 1. 39/3 = 13 R 0. 13/4 = 3 R 1. 3/5 = 0 R 3. All remainders match the problem statement.

AI explanation

Checking the options is the most efficient method here, as the number must be a 2-digit number. Take the number 79 and divide it by 2, which gives a quotient of 39 and a remainder of 1. Dividing 39 by 3 gives a quotient of 13 and a remainder of 0, dividing 13 by 4 gives a quotient of 3 and a remainder of 1, and dividing 3 by 5 leaves a remainder of 3. Since these remainders (1, 0, 1, 3) match the conditions, the required number is 79.

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