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# The number obtained when 144 is divided by 16 in roman number (a) $\text{X}$(b) $\text{VII}$(c) $\text{VIII}$(d) $\text{IX}$ Verified
Hint: In this type of question we have to use the concept of roman numerals conversion. In conversion of a number into Roman numeral 7 major letters are used they are $\text{I,V,X,L,C,D }\!\!\And\!\!\text{ M}$ used to denote the numbers 1, 5, 10, 50, 100, 500 & 1000 respectively. Roman letters are usually written largest to smallest from left to right but not always. When we write Roman letters largest to smallest from left to right a letter to the right of another letter then it get added, for example when we write a Roman number $\text{XVIII}$ then it will represent a number 18 as $\text{XVIII = 10+5+3 = 18}$. Also when we write Roman letters smallest to largest from left to right a letter to the left of another letter then it gets subtracted, for example $\text{CD}$ then it will represent a number 400 as $\text{CD = 500 - 100 = 400}$. Now, here first we perform the division of 144 and 16 then the quotient obtained we write it in Roman numerals.
\Rightarrow 16\overset{9}{\overline{\left){\begin{align} & 144 \\ & \underline {- 144} \\ &0 \\ \end{align}}\right.}}
Now, we know that we can express 9 as $9=10-1$ and hence in roman numerals we can write the number 9 as $\text{IX}$
Note: In this type of question we have to note that Roman numerals are special characters and alphabets that represent a number using lines and letters. Also students have to remember that in case of Roman numerals we cannot use the $\text{IIII}$ instead of that we use the subtraction principle. A subtraction notation is used in the case of 400, 900, 40, 90, 9 and 4 to differentiate between the existing digits.