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

₹0.0

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

Options:

Correct Answer: 0

Exam Year: 2023

Solution:

Since 2 is less than 3, the remainder when 2 is divided by 3 is 2.

If a number is divided by 6 and gives a remainder of 2, what will be the remainder when this 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 this 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 written as: number = 6k + 2, where k is some integer.
Step 2: We need to find the remainder when this number (6k + 2) is divided by 3.
Step 3: Divide 6k by 3. Since 6 is a multiple of 3, 6k divided by 3 gives a whole number (2k) with no remainder.
Step 4: Now, consider the remainder when 2 is divided by 3. Since 2 is less than 3, the remainder is simply 2.
Step 5: Therefore, the remainder when the original number is divided by 3 is also 2.

Remainders – Understanding how remainders work when dividing numbers.
Modular Arithmetic – Applying the concept of modular arithmetic to find remainders.