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All questions of Numerals for Class 5 Exam

The Roman numeral ‘ LXXV’ is equal to :
  • a)
    66
  • b)
    45
  • c)
    75
  • d)
    60
Correct answer is option 'C'. Can you explain this answer?

Saranya Das answered
The Roman numeral system is an ancient numeral system that uses a combination of letters to represent numbers. The system was used by the ancient Romans and is still occasionally used today.

The basic Roman numerals are:

I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000

To represent larger numbers, the Romans used a combination of these letters. For example, the number 2 is represented by the letter II (two ones), the number 6 is represented by the letter VI (five plus one), and the number 11 is represented by the letters XI (ten plus one).

There are also specific rules for subtracting numbers in Roman numerals. For example, the number 4 is represented by the letters IV (one before five) and the number 9 is represented by the letters IX (one before ten).

Roman numerals are often used in the names of monarchs or to represent the year in ancient dates. They are also used in certain contexts, such as on clock faces or in the numbering of movie sequels.

Write DCLXIV as a number.
  • a)
    664
  • b)
    644
  • c)
    904
  • d)
    954
Correct answer is option 'A'. Can you explain this answer?

Soumya Patel answered
To convert the Roman numeral DCLXIV into a number, we need to understand the value of each Roman numeral symbol.

- D represents 500.
- C represents 100.
- L represents 50.
- X represents 10.
- IV represents 4.

Now, let's break down DCLXIV into its individual symbols and add their values together:

D + C + L + X + IV = 500 + 100 + 50 + 10 + 4

Simplifying this expression, we get:

664

Therefore, the correct answer is option A) 664.

The Roman numeral ‘ IV ‘ is equal to :
  • a)
    9
  • b)
    147
  • c)
    4
  • d)
    110
Correct answer is option 'C'. Can you explain this answer?

Sanju Gupta answered
We know that to write 4 in roman numerals, 
we have a small letter I preceding a bigger letter V
. We write 4 as IV. Therefore, 4 in roman numerals is written as 4 = IV.

Convert MMDCCLXXIV to ordinary numerals.
  • a)
    2,674
  • b)
    2,764
  • c)
    2,774
  • d)
    2,776
Correct answer is option 'C'. Can you explain this answer?

Kiran Das answered
MM = 2,000, D = 500, CC = 200, 
L = 50, XX = 20, and IV = 4 2,000 + 500 + 200 + 50 + 20 + 4 = 2,774
so MMDCCLXXIV = 2,774

Convert 2,011 to Roman Numerals.
  • a)
    MCMXI
  • b)
    MMIX
  • c)
    MMXI
  • d)
    MMXXI
Correct answer is option 'C'. Can you explain this answer?

Maitri Bajaj answered
Converting 2011 to Roman Numerals
Understanding Roman Numerals:
  • Roman numerals use letters to represent numbers.
  • The basic symbols are:
    • I = 1
    • V = 5
    • X = 10
    • L = 50
    • C = 100
    • D = 500
    • M = 1000
Rules for combining Roman numerals:
  • Repeating a numeral up to three times adds its value.
    • Example: III = 3
  • Placing a smaller numeral before a larger one subtracts its value.
    • Example: IV = 4 (5 - 1)
  • Placing a smaller numeral after a larger one adds its value.
    • Example: VI = 6 (5 + 1)
Breaking down 2011:
  • 2000 = MM
  • 10 = X
  • 1 = I
Combining the numerals:
  • 2011 = MMXI
Therefore, 2011 in Roman numerals is MMXI.

In the Roman numeral system, whenever a smaller number precedes a larger number, this means one should :
  • a)
    Subtract the smaller number from the larger one
  • b)
    Add the smaller number to the larger one
  • c)
    Subtract the larger number from the smaller one
  • d)
    Divide the larger number by the smaller one
Correct answer is option 'A'. Can you explain this answer?

Ameya Shah answered
**Explanation:**

In the Roman numeral system, smaller numbers are placed before larger numbers to indicate subtraction. This is one of the fundamental rules of Roman numerals. Let's break down the explanation into the following headings:

**Roman Numeral System**
The Roman numeral system is an ancient numeral system that was used in ancient Rome. It uses combinations of letters from the Latin alphabet to represent numbers. The basic symbols used in the Roman numeral system are:

- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000

**Subtraction Rule**
In the Roman numeral system, when a smaller number appears before a larger number, it means that the smaller number should be subtracted from the larger number.

**Examples**
Let's look at some examples to understand how the subtraction rule works:

1. IV = 4
- In this example, I (1) is placed before V (5).
- According to the subtraction rule, we need to subtract I (1) from V (5).
- So, IV (4) is formed by subtracting I (1) from V (5).

2. IX = 9
- In this example, I (1) is placed before X (10).
- According to the subtraction rule, we need to subtract I (1) from X (10).
- So, IX (9) is formed by subtracting I (1) from X (10).

3. XL = 40
- In this example, X (10) is placed before L (50).
- According to the subtraction rule, we need to subtract X (10) from L (50).
- So, XL (40) is formed by subtracting X (10) from L (50).

4. CM = 900
- In this example, C (100) is placed before M (1000).
- According to the subtraction rule, we need to subtract C (100) from M (1000).
- So, CM (900) is formed by subtracting C (100) from M (1000).

**Conclusion**
In conclusion, in the Roman numeral system, whenever a smaller number appears before a larger number, it indicates subtraction. This means that the smaller number should be subtracted from the larger number to obtain the correct value represented by the Roman numeral.

The Roman numeral ‘ LX ‘ is equal to :
  • a)
    133
  • b)
    8
  • c)
    60
  • d)
    14
Correct answer is option 'C'. Can you explain this answer?

Ameya Kapoor answered
System uses combinations of letters to represent numbers. The basic Roman numerals are:

I = 1
V = 5
X = 10
L = 50
C = 100
D = 500
M = 1000

To represent larger numbers, the Romans used combinations of these letters. Some examples are:

II = 2 (I + I)
III = 3 (I + I + I)
IV = 4 (V - I)
VI = 6 (V + I)
IX = 9 (X - I)
XI = 11 (X + I)
XX = 20 (X + X)
XL = 40 (L - X)
XC = 90 (C - X)
CC = 200 (C + C)
CD = 400 (D - C)
CM = 900 (M - C)
MCM = 1900 (M + CM)

Roman numerals are read from left to right, and the values of the letters are added together. However, if a smaller value letter appears before a larger value letter, the smaller value is subtracted from the larger value. For example, IV is 4 because I (1) is subtracted from V (5).

The Romans did not have a zero in their numeral system, and they did not have a consistent way of representing fractions or decimals. The Roman numeral system was used primarily for counting and basic arithmetic operations.

Convert 1,866 to Roman Numerals.
  • a)
    MDCCCLXVI
  • b)
    MCCCCCCCCLXVI
  • c)
    MDCCCXXXXXXVI
  • d)
    MDCCCXLVI
Correct answer is option 'A'. Can you explain this answer?

Arjun Yadav answered
1,866 = 1,000 + 500 + 300 + 50 + 10 + 5 + 1
1,000 = M, 500 = D, 300 = CCC, 50 = L, 10 = X, 5 = V and 1 = I so 1,866 = MDCCCLXVI

Convert 2328 to a Roman numeral.
  • a)
    MMCCCXXVIII
  • b)
    MMCXXXXIIII
  • c)
    MDCXXXVI
  • d)
    MDCCCXVIII
Correct answer is option 'A'. Can you explain this answer?

Anushka Rane answered
Conversion of 2328 to Roman numeral

To convert the number 2328 to a Roman numeral, we need to understand the Roman numeral system and its symbols.

Roman numeral system:
The Roman numeral system uses combinations of letters to represent different values. Here are the basic symbols used in the Roman numeral system:

- I: 1
- V: 5
- X: 10
- L: 50
- C: 100
- D: 500
- M: 1000

Step-by-step conversion:

1. Start by dividing the number 2328 by the highest Roman numeral value, which is 1000 (M). The quotient is 2, and the remainder is 328.
2. Write down the corresponding Roman numeral symbol, which is M, twice since the quotient is 2.
3. Move on to the next highest Roman numeral value, which is 100 (C). Divide the remainder (328) by 100. The quotient is 3, and the remainder is 28.
4. Write down the corresponding Roman numeral symbol, which is C, three times since the quotient is 3.
5. Continue this process for the remaining values: 10 (X), 10 (X), and 8 (VIII).
6. Write down the corresponding Roman numeral symbols for each value: X, X, and VIII.

Final answer:
Combining all the Roman numeral symbols, we get the final answer as MMCCCXXVIII, which represents the number 2328 in Roman numerals.

The correct answer is option 'A' - MMCCCXXVIII.

The Roman numeral ‘ XLV’ is equal to :
  • a)
    45
  • b)
    75
  • c)
    12
  • d)
    66
Correct answer is option 'A'. Can you explain this answer?

Aaditya Chavan answered
The Roman numeral system uses a combination of letters to represent numbers. The letters used in the Roman numeral system are:

- I represents the number 1
- V represents the number 5
- X represents the number 10
- L represents the number 50
- C represents the number 100
- D represents the number 500
- M represents the number 1000

Roman numerals are formed by combining these letters in different ways. For example, the number 2 is represented by the letter II, the number 6 is represented by the letter VI, and the number 11 is represented by the letters XI.

Roman numerals are written from left to right, and when a smaller number appears before a larger number, it is subtracted from the larger number. For example, the number 4 is represented by the letters IV, which is formed by subtracting 1 (I) from 5 (V). Similarly, the number 9 is represented by the letters IX, which is formed by subtracting 1 (I) from 10 (X).

Roman numerals are often used in modern times to represent numbers in a decorative or traditional context, such as on clocks, in titles or names, or in the numbering of sporting events.

The Roman numeral ‘ XLIV ‘ is equal to :
  • a)
    147
  • b)
    128
  • c)
    14
  • d)
    44
Correct answer is option 'D'. Can you explain this answer?

Mayank Iyer answered
  1. XLIV = 44.
  2. X = 10 and L = 50. XL = 50 - 10 (because X is smaller and placed before L)
  3. V = 5 and I = 1. IV = 5 - 1 (because I is smaller and placed before V)
  4. (50–10)+(5–1)=44.

Roman numerals are still commonly used today to :
  • a)
    Outline and number lists
  • b)
    Number pages that precede a main body of a book
  • c)
    Number certain annual sporting events
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?

Nabanita Bose answered
Explanation:

Roman numerals are a numeral system that originated in ancient Rome. They are still commonly used today in various contexts, including:

Outline and number lists:
Roman numerals are often used to outline and number items in a list. For example, a book's table of contents might use Roman numerals to number its chapters or sections.

Number pages that precede a main body of a book:
Roman numerals are often used to number the front matter of a book, which includes items like the title page, table of contents, and preface. This allows the main body of the book to start with page 1.

Number certain annual sporting events:
Roman numerals are often used to number certain annual sporting events, such as the Super Bowl or the Olympic Games. This tradition dates back to the early 20th century and is still used today.

Conclusion:
In conclusion, Roman numerals are still commonly used today to outline and number lists, number pages that precede a main body of a book, and number certain annual sporting events.

Convert 7,192 to Roman Numerals.
  • a)
    MMMMMMMXCCII
  • b)
    MMMMMMMCLXXXXII
  • c)
    MDCCXCII
  • d)
    VII̅CXCII.
Correct answer is option 'D'. Can you explain this answer?

Kds Coaching answered
To break down the Roman numeral conversion for 7,192:
    • 7,000 is written as VII̅ (7 with a line over it to indicate multiplication by 1,000).
    • 100 is written as C.
    • 90 is written as XC.
    • 2 is written as II.
    So, 7,192 in Roman numerals is VII̅CXCII

Write MMMCXXXIV as a number.
  • a)
    3034
  • b)
    3134
  • c)
    3344
  • d)
    3224
Correct answer is option 'B'. Can you explain this answer?

Kds Coaching answered
Solution:
  • MMMCXXXIV is a Roman numeral.
  • It breaks down into: 3000 (MMM), 100 (C), 30 (XXX), and 4 (IV).
  • Adding these values gives: 3134.

The Roman numeral 'CX' is equal to:
  • a)
    17
  • b)
    9
  • c)
    110
  • d)
    116
Correct answer is option 'C'. Can you explain this answer?

Kds Coaching answered
The Roman numeral ‘CX’ represents a number in the Roman numeral system.
  • The letter C stands for 100.
  • The letter X stands for 10.
By adding these values together, the numeral CX equals 110.

The Roman numeral 'XIV' is equal to:
  • a)
    60
  • b)
    32
  • c)
    14
  • d)
    101
Correct answer is option 'C'. Can you explain this answer?

Kds Coaching answered
Solution:
  • X = 10
  • IV = 4 (since I before V means 1 less than 5)
Therefore, X + IV = 10 + 4 = 14.

The Roman numeral ‘XII’ is equal to :
  • a)
    60
  • b)
    128
  • c)
    12
  • d)
    45
Correct answer is option 'C'. Can you explain this answer?

Dhaval pandey answered
The correct answer is option 'C'. Roman numerals are a numeral system that was used in ancient Rome. They are based on the use of letters rather than digits. The Roman numeral 'XII' is equal to 12.
'X' is 10 and 'II' is 2, so X+II = 12. Roman numerals are not based on a place value system like the one used in the modern decimal numeral system, so the position of a symbol does not change the value of the number.
'a' '60' is not the correct value for the Roman numeral 'XII', 'b' '128' is not the correct value, 'd' '45' is not the correct value.

Write 3,396 as a Roman Numeral.
  • a)
    MMMCCCXCVII
  • b)
    MMMCXCVI
  • c)
    MDCXXXVI
  • d)
    MMMCCCXCVI
Correct answer is option 'D'. Can you explain this answer?

Kds Coaching answered
The number 3,396 can be broken down into its Roman numeral components:
  • 3,000 is represented as MMM
  • 300 is represented as CCC
  • 90 is represented as XC
  • 6 is represented as VI
Combining these, 3,396 is MMMCCCXCVI in Roman numerals.

The Roman numeral 'CXXXIII' is equal to:
  • a)
    19
  • b)
    12
  • c)
    133
  • d)
    17
Correct answer is option 'C'. Can you explain this answer?

Kds Coaching answered
The Roman numeral CXXXIII represents the number 133.
  • C stands for 100.
  • XXX represents 30 (as X = 10, and there are three Xs).
  • III stands for 3 (as I = 1, and there are three Is).
Adding these values together gives:
  • 100 + 30 + 3 = 133

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