If a number is divided by 15 and gives a remainder of 10, which of the following

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Question: If a number is divided by 15 and gives a remainder of 10, which of the following could be the number?

Options:

Correct Answer: 25

Solution:

25 gives a remainder of 10 when divided by 15 (15*1 + 10 = 25).

If a number is divided by 15 and gives a remainder of 10, which of the following could be the number?

If a number is divided by 15 and gives a remainder of 10, which of the following could be the number?

Step 1: Understand what it means to divide a number by 15 and get a remainder of 10.
Step 2: When a number is divided by 15, it can be expressed in the form: number = 15 * quotient + remainder.
Step 3: In this case, the remainder is 10, so we can write: number = 15 * quotient + 10.
Step 4: The quotient can be any whole number (0, 1, 2, ...).
Step 5: Let's try different values for the quotient to find possible numbers.
Step 6: If the quotient is 0, the number is 15 * 0 + 10 = 10.
Step 7: If the quotient is 1, the number is 15 * 1 + 10 = 25.
Step 8: If the quotient is 2, the number is 15 * 2 + 10 = 40.
Step 9: We can see that numbers like 10, 25, and 40 give a remainder of 10 when divided by 15.

Modular Arithmetic – Understanding how remainders work when dividing numbers.
Divisibility Rules – Recognizing how to determine possible values based on given conditions.