Question

The ascending order of $XX,XXXVI,V$ is
(a)$V,XXXVI,XX$
(b)$XX,V,XXXVI$
(c)$V,XX,XXXVI$
(d)$XXXVI,XX,V$

Answer 1

Hint: Here, ascending order means arranging the values from the smallest value to the largest value. The roman numerals are given here, the corresponding numerical values should be calculated where $\begin{align}
  & X=10 \\
 & XX=20 \\
 & XXX=30 \\
 & V=5 \\
 & VI=6 \\
\end{align}$.

Complete step-by-step answer:
In the given problem three Roman numerals are given as:
 $XX,XXXVI,V$.
Now, we have to arrange them in the ascending order.
We know that ascending order and descending order are two arrangements of a series of numbers.
For ascending order, we have to arrange the series of numbers from smallest to the largest. i.e. the first number will be the smallest one and the last number will be the largest one.
Similarly, for descending order, we have to arrange the series of numbers from largest to smallest. i.e. the first number will be the largest one and the last number will be the smallest one.
First, we have to identify the numerical values of the given Roman numerals to arrange them in the ascending order. i.e. the values are given in the table:

N	RN	N	RN	N	RN
1	I	11	XI	21	XXI
2	II	12	XII	22	XXII
3	III	13	XIII	23	XXIII
4	IV	14	XIV	24	XXIV
5	V	15	XV	25	XXV
6	VI	16	XVI	26	XXVI
7	VII	17	XVII	27	XXVII
8	VIII	18	XVIII	28	XXVIII
9	IX	19	XIX	29	XXIX
10	X	20	XX	30	XXX

Hence, from the table we will get:
$\begin{align}
  & V=5 \\
 & XX=20 \\
 & XXXVI=36 \\
\end{align}$.
So we can say that:
 $5<20<36$.
Therefore, we will get:
 $V < XX < XXXVI$.
Hence, the ascending order is:
 $V,XX,XXXVI$.
So we can say that the correct answer for this question is option (c).

Note: Here, don’t get confused between ascending order and descending order. Ascending order means arranging the series of numbers from smallest to largest. If we arrange it from largest to smallest you will get the wrong answer. To understand the smallest and the largest number we have to convert Roman numerals into numerical values.