Question

Find the value of \[abcabc/abc\]________ (where abc is a three-digit number)
A) 101
B) 100
C) 1001
D) 1000

Answer 1

Hint: To solve this question, we will proceed to divide abcabc by abc. To do this we should have one thing in mind that abc is not an alphabetical word, but a three-digit number so we cannot directly divide abcabc by abc.
Complete step-by-step answer:
Now we will proceed to solve the question by dividing the given term by abc.
To do the division so we will follow the long division method and will see what does the answer arrives at.
Following the long division method to divide the given term we get,
\[abc\overset{1001}{\overline{\left){\begin{align}
  & abcabc \\
 & \underline{abc} \\
 & 000abc \\
 & \text{ }\underline{abc} \\
 & \text{ }000 \\
\end{align}}\right.}}\]

Now we will explain what is exactly done in the above long division method,
Because abc is a 3-digit number. Then we will divide the given number by abc because abc times one is abc again,
Therefore, applying 1 on the quotient we get, the first term abc is divided completely and we get the reminder as 000.
Now the next letter on the dividend is “a”. It comes down but because it is only one-digit number and we have the divisor as 3-digit number, therefore we need to add a zero in the quotient and bring b down.
Again, we have ab left which is the 2-digit number we need 3-digit number because the divisor is the 3-digit number therefore, again adding 0 in the quotient and bringing c down.
Now we have abc left and abc times one is abc, therefore, we get that the quotient is 1001.
Hence, we obtain the result in the form of quotient as 1001, which is option (C).

Note: The biggest possibility of error in this question is considering abcabc as an alphabet and not a three-digit number. If you consider so, then you will surely divide and get the answer as abc, which is wrong because here abc is a three-digit number.