If a number is divided by 12 and gives a remainder of 7, which of the following

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Question: If a number is divided by 12 and gives a remainder of 7, which of the following numbers could it be?

Options:

Correct Answer: 23

Solution:

23 gives a remainder of 7 when divided by 12 (12*1 + 7 = 19).

If a number is divided by 12 and gives a remainder of 7, which of the following numbers could it be?

If a number is divided by 12 and gives a remainder of 7, which of the following numbers could it be?

Step 1: Understand what it means to divide a number by 12 and get a remainder of 7.
Step 2: This means that when you divide the number by 12, it does not fit perfectly and leaves 7 left over.
Step 3: We can express this mathematically as: Number = 12 * k + 7, where k is any whole number (0, 1, 2, ...).
Step 4: To find possible numbers, we can choose different values for k and calculate the number.
Step 5: For k = 0, the number is 12 * 0 + 7 = 7.
Step 6: For k = 1, the number is 12 * 1 + 7 = 19.
Step 7: For k = 2, the number is 12 * 2 + 7 = 31.
Step 8: We can keep going with higher values of k to find more numbers.
Step 9: Check if the given options include any of the numbers we calculated (7, 19, 31, ...).

Modular Arithmetic – Understanding how remainders work when dividing numbers, specifically using the modulus operation.
Divisibility Rules – Recognizing how to determine if a number fits a specific condition based on its divisibility by another number.