Question

 The Roman numeral for 3721 : 61 is
A). LC
B). XLI
C). LXI
D). CM

Answer 1

Hint: Here, 3271 : 61 means $\dfrac{3721}{61}$. Now, the value after division has to be converted into Roman numeral. Just write the basic numerals and their combinations, accordingly find the answer.

Complete step-by-step answer:
 Here, 3721 : 61 means we have to do division. That is, $\dfrac{3721}{61}$.
To do the division we should have an idea on Roman numerals.
Unlike, our position based system with base 10, the Roman system is based on addition (and sometimes subtraction) of seven different values. These are symbols used to represent these values.

Some of the basic combinations of Roman numerals are:

Now, we can do the division.
Consider, $\dfrac{3721}{61}$
By cancellation we obtain:
$\dfrac{3721}{61}=61$
If a numeral is followed by another numeral of lower denomination, then we have to add them. If it is preceded by one of the lower denominations, the smaller numeral is subtracted from the greater.
Therefore, 61 = 60 + 1 = LX + I
Hence, 61 = LXI
Therefore, 3721 : 61 is LXI.
So, the correct answer for this question is option (C).

Note: Here, we have to keep in mind that if a numeral is followed by another numeral of lower value then we have to add otherwise subtract greater from the lower numeral. Solving the ratio we will get the roman number by comparison.