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If a number is divided by 15 and gives a remainder of 10, which of the following
Practice Questions
Q1
If a number is divided by 15 and gives a remainder of 10, which of the following could be the number?
25
35
45
55
Questions & Step-by-Step Solutions
If a number is divided by 15 and gives a remainder of 10, which of the following could be the number?
Steps
Concepts
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.
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