If a number is divided by 6 and gives a remainder of 2, what will be the remaind

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Question: If a number is divided by 6 and gives a remainder of 2, what will be the remainder when the same number is divided by 3? (2023)

Options:

Correct Answer: 1

Exam Year: 2023

Solution:

If the number gives a remainder of 2 when divided by 6, it will give a remainder of 2 when divided by 3 as well.

If a number is divided by 6 and gives a remainder of 2, what will be the remainder when the same number is divided by 3? (2023)

If a number is divided by 6 and gives a remainder of 2, what will be the remainder when the same number is divided by 3? (2023)

Step 1: Understand that when a number is divided by 6 and gives a remainder of 2, it can be expressed as 'number = 6k + 2' where k is some integer.
Step 2: Now, we need to find the same number when divided by 3.
Step 3: Substitute 'number' in the expression: 'number = 6k + 2'.
Step 4: Divide '6k + 2' by 3: (6k + 2) ÷ 3.
Step 5: Simplify: 6k ÷ 3 = 2k (which is a whole number) and 2 ÷ 3 gives a remainder of 2.
Step 6: Therefore, when the original number is divided by 3, the remainder is 2.

Remainders and Division – Understanding how remainders work when dividing numbers by different divisors.
Properties of Divisibility – Recognizing that if a number leaves a certain remainder when divided by a larger number, it will leave a corresponding remainder when divided by a smaller divisor.