If a number leaves a remainder of 5 when divided by 12, which of the following c

If a number leaves a remainder of 5 when divided by 12, which of the following could be the number?

If a number leaves a remainder of 5 when divided by 12, which of the following could be the number?

Step 1: Understand what it means to leave a remainder. When a number is divided by another number, the remainder is what is left over after the division.
Step 2: In this case, we are looking for a number that leaves a remainder of 5 when divided by 12.
Step 3: This means that if we divide our number by 12, we should get a result that has 5 left over.
Step 4: We can express this mathematically as: Number = 12 * k + 5, where k is any whole number (0, 1, 2, ...).
Step 5: Let's try k = 1. If k = 1, then Number = 12 * 1 + 5 = 12 + 5 = 17.
Step 6: Now, we check if 17 leaves a remainder of 5 when divided by 12. When we divide 17 by 12, we get 1 with a remainder of 5.
Step 7: Since 17 fits the condition, it is a possible number that leaves a remainder of 5 when divided by 12.

Modular Arithmetic – Understanding how remainders work when dividing numbers.
Divisibility Rules – Recognizing how to express numbers in terms of their divisors and remainders.