Olympiad Test: Roman Numerals -1 - Class 4 MCQ

Romans primarily used Roman numerals for practical purposes like trading, commerce, and record-keeping. These numbers helped them in calculating prices, conducting trade transactions, and maintaining financial records. Roman numerals were essential for everyday business activities, including the exchange of goods and services.

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.

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.

In the sequence provided, each option represents a number using Roman numerals.

• Option D: XXXX is the odd one out because it represents the number 40, which is incorrect in standard Roman numeral notation.
• The correct Roman numeral for 40 is XL.
• Options A, B, and C correctly use Roman numeral representations: X for 10, XX for 20, and XXX for 30.

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.

Let's break down the Roman numerals and calculate the sum:

1. MMMLXII = 3062
2. XCII = 92
3. MMDCXLVIII = 2648

Now, summing these:

3062 + 92 + 2648 = 5802

To convert 5802 to Roman numerals:

• 5000 = V̅
• 800 = DCCC
• 2 = II

Therefore, 5802 in Roman numerals is VDCCCII.

So, the correct answer is C: VDCCCII.

Answer
D. XXVI

Explanation
L represents 50.

XXIV represents 24 (XX = 20; IV = 5 − 1).

Subtracting: 50 − 24 = 26, which is written as XXVI.