A number leaves a remainder of 2 when divided by 5. Which of the following numbe

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Question: A number leaves a remainder of 2 when divided by 5. Which of the following numbers is NOT possible?

Options:

Correct Answer: 22

Solution:

22 leaves a remainder of 2 when divided by 5, but it is not possible for 22 to leave a remainder of 2.

A number leaves a remainder of 2 when divided by 5. Which of the following numbers is NOT possible?

A number leaves a remainder of 2 when divided by 5. Which of the following numbers is NOT possible?

Step 1: Understand what it means for a number to leave a remainder when divided by another number. When you divide a number by 5, the remainder is what is left over after you take out as many 5s as possible.
Step 2: If a number leaves a remainder of 2 when divided by 5, it means that when you divide that number by 5, you can express it as: number = 5 * k + 2, where k is any whole number (0, 1, 2, ...).
Step 3: List some examples of numbers that leave a remainder of 2 when divided by 5. For example: 2, 7, 12, 17, 22, 27, etc.
Step 4: Check if 22 leaves a remainder of 2 when divided by 5. Divide 22 by 5. 22 divided by 5 equals 4 with a remainder of 2 (because 5 * 4 = 20 and 22 - 20 = 2).
Step 5: Since 22 does leave a remainder of 2 when divided by 5, it is possible for 22 to be one of the numbers that fits the condition.
Step 6: To find a number that does NOT leave a remainder of 2 when divided by 5, you can check other numbers like 23, 24, etc., and see if they fit the condition.

Remainders and Modular Arithmetic – Understanding how to determine the remainder when a number is divided by another number, specifically using the modulus operation.