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Q.

If abc represents any 3-digit number then, what will be the value of, (abcabc) $\div$ (abc)?

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a

11

b

101

c

1001

d

can’t be determined

answer is C.

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Detailed Solution

Given that abc represents any 3-digit number.
Find = (abcabc)

\div

(abc)
So, if we carefully observe the above equation, we will find that abc is the variable here and if somehow, we eliminate the variable abc from this equation we will get the value of the given expression,
We know that we can also write abcabc as,
abcabc = abc × 1000 + abc
we can write like this because we know that if abc is 3-digit number then abcabc will form a 6-digit number and hence it can be split like this,
Now we have the expression as,

\frac{abc \times 1000 + abc}{abc}

Now dividing it by denominator, we get

= \frac{abc \times 1000}{abc}

+

\frac{abc}{abc}

= 1000 + 1
= 1001
Hence, Option (3) is the correct option.

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