Question

What is the value of $IX + VI \times II$?
A. $XXX$
B. $XXI$

Answer 1

Hint: In this question we are given an algebraic expression. First, convert the roman numbers into our regular numbers to avoid any confusion. Then apply the rule of BODMAS and do multiplication first and addition later to get the answer.

Complete step-by-step answer:
We are given an expression in roman numbers. But, it must be kept in mind that we should not only focus on roman numbers, but also on the rule of BODMAS. The rule of BODMAS states that if there are more than one operation in an expression, then they must be performed in a particular order. The order is-
B- Borders
O- Of
D- Division
M- Multiplication
A- Addition
S- Subtraction
This basically means that if an expression has all of the above operations then first, brackets are solved. And then, division, multiplication, addition and subtraction are solved in that order.
Now, the expression that we are given in the question is-$IX + VI \times II$.
Let’s simplify the roman numbers in our normal mathematical numbers.
$IX = 9$,$VI = 6$ and $II = 2$
Therefore, our operation has become- $9 + 6 \times 2$
Following the rule of BODMAS, we will first solve multiplication-
$ \Rightarrow 9 + 12$
And then, addition.
$ \Rightarrow 21$
Hence, our final answer is 21.
It can be written in roman numbers as $XXI$.

Option B is the correct answer.

Note: Students often get confused between $IX$ and $XI$, or $IV$ and $VI$. The simple way to remember it is that – if $I$ is placed before $V$ or $X$, it means that has been subtracted from $V$ or $X$. Therefore, $IV = 5 - 1 = 4$. On the other hand, $VI = 5 + 1 = 6$ because $I$ if is placed after $V$ or $X$, it means that it is added to the roman number placed after it.