# Which of the following are meaningless?

\[

A.{\text{ }}VX \\

B.{\text{ }}IXIV \\

C.{\text{ }}XIIV \\

D.{\text{ All the above}} \\

\]

Answer

Verified

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Hint- In order to find out which one is correct and which are wrong take the help of basic roman number representation and rules for roman number representation.

Complete step-by-step solution -

The roman numerals are represented by the following letters.

$

I = 1 \\

V = 5 \\

X = 10 \\

L = 50 \\

C = 100 \\

D = 500 \\

M = 1000 \\

$

If a numeral is followed by another numeral of lower denomination, the two are added together.

If a numeral is followed by one of lower denomination, the smaller numeral is subtracted from the greater.

Now let us proceed with each one of the options.

Taking option A.

$X$ is preceded by $V$ of lower denomination so the number should be $10 - 5 = 5$ , but 5 is represented by $V$ .

So, option A is incorrect.

Taking option B.

First $V$is preceded by $I$ so it represents $5 - 1 = 4$ .

Here $X$ is preceded by $I$ and is succeeded by $IV$ so it represents $10 - 1 + 4 = 13$ but 13 is represented by $XIII$ .

So option B is also incorrect.

Taking option C.

First $V$is preceded by $II$ so it represents $5 - 2 = 3$ .

Here $X$ is succeeded by $IIV$ so it represents $10 + 3 = 13$ , but 13 is represented by $XIII$.

So, option C is also incorrect.

Hence, all the options are incorrect.

So, option D is the correct option.

Note- In order to solve such questions related to roman numerals and also for writing any number in the form of roman numerals, all the rules of roman numerals must be remembered. There may be many types of different representation, which may look quite good after adding and subtracting. But the representation of any number is unique.

Complete step-by-step solution -

The roman numerals are represented by the following letters.

$

I = 1 \\

V = 5 \\

X = 10 \\

L = 50 \\

C = 100 \\

D = 500 \\

M = 1000 \\

$

If a numeral is followed by another numeral of lower denomination, the two are added together.

If a numeral is followed by one of lower denomination, the smaller numeral is subtracted from the greater.

Now let us proceed with each one of the options.

Taking option A.

$X$ is preceded by $V$ of lower denomination so the number should be $10 - 5 = 5$ , but 5 is represented by $V$ .

So, option A is incorrect.

Taking option B.

First $V$is preceded by $I$ so it represents $5 - 1 = 4$ .

Here $X$ is preceded by $I$ and is succeeded by $IV$ so it represents $10 - 1 + 4 = 13$ but 13 is represented by $XIII$ .

So option B is also incorrect.

Taking option C.

First $V$is preceded by $II$ so it represents $5 - 2 = 3$ .

Here $X$ is succeeded by $IIV$ so it represents $10 + 3 = 13$ , but 13 is represented by $XIII$.

So, option C is also incorrect.

Hence, all the options are incorrect.

So, option D is the correct option.

Note- In order to solve such questions related to roman numerals and also for writing any number in the form of roman numerals, all the rules of roman numerals must be remembered. There may be many types of different representation, which may look quite good after adding and subtracting. But the representation of any number is unique.

Last updated date: 24th Sep 2023

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