Olympiad Test: Roman Numerals -1 - Class 4 MCQ

Roman used these numbers for trading and

• Roman numerals were essential in commerce, enabling merchants to keep track of transactions.
• They facilitated finance by providing a standard method for accounting and calculations.
• In the realm of law, these numbers were used in legal documents and contracts.
• Roman numerals also played a role in exporting goods, helping to label and document shipments.

Addition is only applicable under certain conditions. Here are the key points to understand:

• If the first symbol is greater than the second, third, etc., addition is allowed.
• This means that in order to perform addition, the initial value must be larger than the subsequent values.
• In mathematical terms, this is often represented as a comparison between numbers.

Always ensure that the first value meets this criterion before proceeding with addition.

Statement A: When using the principle of addition, a symbol can appear only three times.

Statement B: When using the principle of addition, a symbol can appear only once.

• A is correct.

• B is correct.

• C Both are correct.

• D Both are incorrect.

Answer: A

The principle of addition in mathematics dictates specific rules regarding the use of symbols. Here’s a summary of the statements:

• Statement A is accurate because a symbol, such as a numeral, can indeed be used up to three times in certain contexts (like Roman numerals).
• Statement B is incorrect, as it limits the use of a symbol to one time, which is not a general rule for addition.

In conclusion, only A is correct. The principle of addition allows for a symbol to be used multiple times, specifically up to three, depending on the framework of the mathematical notation being used.

Here V  = 5
IV = 4
X  = 10
XI = 11
But VIIII is meaningless.

N is meaningless in roman numbers.

Roman numbers don’t have symbol for zero.

When a symbol appears after a larger symbol, it indicates an operation.

• If a smaller symbol follows a larger symbol, it typically means the value of the smaller symbol is added to the larger one.
• This is a common convention in mathematics and other notation systems.
• Understanding this rule is crucial for correctly interpreting mathematical expressions.

Subtraction is a mathematical operation that applies in specific conditions. It is primarily used when:

• The first number is less than the second number.
• This means you can only subtract when the first value is smaller, allowing you to find the difference.

Understanding this concept is crucial for performing basic arithmetic accurately.

Explanation:

• The answer is D, which is four characters long.
• All other options have fewer characters:
• A has 1 character.
• B has 2 characters.
• C has 3 characters.
• Thus, D stands out because it is the only option with more characters.

Explanation:

The answer to the question is based on identifying the odd one out among the given options. Here’s a breakdown of the reasoning:

• I: Represents the Roman numeral for 1.
• II: Represents the Roman numeral for 2.
• III: Represents the Roman numeral for 3.
• IIII: While often interpreted as a representation of 4, it is not the standard Roman numeral. The correct representation is IV.

Thus, among these options, IIII is the odd one out due to its incorrect form. The standard Roman numeral for 4 is IV.

Here CVI = 100 + 5 + 1 = 106

1400 = MCD = 1000 + 500 – 100

We have MXVI = 1000 + 10 + 5 + 1
= 1016.

3010 is represented in Roman numerals as follows:

• MMMX - This indicates 3000 (MMM) and 10 (X).
• MX - This signifies 1010 (M for 1000 and X for 10).
• MMM - This stands for 3000.
• MMX - This represents 2010 (MM for 2000 and X for 10).

In summary, the correct representation for 3010 in Roman numerals is MMMX.

LXXXX is meaningless.

MMLXIII – CDLXXXVI results in a numerical calculation in Roman numerals.

To solve this, we first convert the Roman numerals to their integer equivalents:

• MMLXIII = 2063
• CDLXXXVI = 486

Next, we perform the subtraction:

• 2063 - 486 = 1577

Now, we need to convert the result, 1577, back into Roman numerals. The breakdown is as follows:

• 1000 = M
• 500 = D
• 70 = LXX
• 7 = VII

Putting it all together, we get:

MDLXXVII

859 + 27 +  842 = 1728
DCCCLIX + XXVII + DCCCXLII = MDCCXXVIII

MMCMXXXI + MMMCMLXXXII = VICMXIII (6913)
The number 6913 is written as VICMXIII in Roman numerals.

To solve the expression MMMLXII + XCII + MMDCXLVIII, we convert the Roman numerals to Arabic numerals:

• MMMLXII = 1062
• XCII = 92
• MMDCXLVIII = 2648

Now, we add these values together:

• 1062 + 92 = 1154
• 1154 + 2648 = 3802

Finally, we convert the sum back to Roman numerals:

• 3802 in Roman numerals is VDCCII.

Therefore, the answer is: VDCCII.

Correct option is D.  VIIDCCLXIX (7269)