in a division sum dividing by 8 ,any remainder must be(a) more than 8,(b) half of 8,(c)less than 8,(d)equal to 8

C. less than eight

ftrttru\

]

In a division sum, dividing by 8, any remainder must be less than 8.

To understand why, let's break down the process of division. When you divide a number by another number, you are essentially trying to distribute the first number equally into groups of the second number. The result of the division is the quotient, while the remainder is what is left over after the division.

In this case, we are dividing by 8. If the remainder is more than 8, it means that the 8 cannot be evenly distributed into the dividend, meaning the division is incomplete. For example, if the remainder is 9, it suggests that after dividing the number by 8, there is still an additional part not distributed. So, option (a) "more than 8" is incorrect.

If the remainder is half of 8, it would be 4. This implies that the division was completed, and there was no additional part left undistributed. However, the question asks for the remainder to be less than 8, not equal to half of 8. Therefore, option (b) "half of 8" is also incorrect.

If the remainder is equal to 8, it means that the entire divisor has been used, and there is nothing left undistributed. However, the question asks for the remainder to be less than 8, not equal to 8. Therefore, option (d) "equal to 8" is incorrect as well.

By process of elimination, the correct answer is option (c) "less than 8." It signifies that any remainder left after dividing by 8 will be a value between 0 and 7, as it should be smaller than the divisor itself.