Comprehension
Answer the questions on the basis of the information given below.
The seven basic symbols in a certain numeral system and their respective values are as follows:
• I =1, V=5, X=10, L=50, C=100, D=500, M=1000
In general, the symbols in the numeral system are read from left to right, starting with the symbol representing the largest value; the same symbol cannot occur continuously more than three times; the value of the numeral is the sum of the values of the symbols. For example,
XXVII = 10 +10+10+5+1+1+1=27.
An exception to the left-to-right reading occurs when a symbol is followed immediately by a symbol of greater value; then the smaller value is subtracted from the larger.
For example, XLVI = (50- 10) + 5 + 1 = 46.
Question: 1
The value of the numeral MDCCLXXXVII is
The value of the numeral MDCCLXXXVII is
Show Hint
In Roman numerals, the numerals are added unless a smaller numeral comes before a larger one (e.g., IV for 4). Always check for this subtraction rule.
Updated On: Aug 1, 2025
- 1687
- 1787
- 1887
- 1987
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
To calculate the value of MDCCLXXXVII, we break it down:
\[
M = 1000, \, D = 500, \, C = 100, \, C = 100, \, C = 100, \, L = 50, \, X = 10, \, X = 10, \, X = 10, \, V = 5, \, I = 1, \, I = 1, \, I = 1
\]
Summing these values gives:
\[
1000 + 500 + 100 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 + 1 = 1887
\]
Thus, the value is 1887.
\[
\boxed{1887}
\]
Was this answer helpful?
0
0
Question: 2
The value of the numeral MCMXCIX is
The value of the numeral MCMXCIX is
Show Hint
When a smaller numeral precedes a larger one (e.g., CM for 900), subtract the smaller numeral from the larger one.
Updated On: Aug 1, 2025
- 1999
- 1899
- 1989
- 1889
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
We break down the numeral MCMXCIX:
\[
M = 1000, \, C = 100, \, M = 1000, \, X = 10, \, C = 100, \, I = 1, \, X = 10
\]
Starting from left to right:
\[
1000 + (1000 - 100) + (100 - 10) + (10 - 1) = 1999
\]
Thus, the value is 1999.
\[
\boxed{1999}
\]
Was this answer helpful?
0
0
Question: 3
Which of the following represent the numeral for 1995?
I. MCMLXXV
II. MCMXCV
III. MVD
IV. MVM
Which of the following represent the numeral for 1995?
I. MCMLXXV
II. MCMXCV
III. MVD
IV. MVM
II. MCMXCV
III. MVD
IV. MVM
Show Hint
Ensure that each Roman numeral follows the correct rules. Numerals like "MVD" and "MVM" are not valid, while combinations like "MCMLXXV" and "MCMXCV" are valid ways to represent 1995.
Updated On: Aug 1, 2025
- Only I and II
- Only III and IV
- Only II and IV
- Only IV
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
We need to evaluate each of the options:
I. MCMLXXV = M + (1000 - 100) + 50 + 10 + 10 + 5 = 1995 (correct)
II. MCMXCV = M + (1000 - 100) + 10 + (5 - 1) = 1995 (correct)
III. MVD is incorrect as "V" and "D" are not valid representations for 1995.
IV. MVM is incorrect, as MVM does not represent a valid numeral for 1995.
Thus, the Correct Answer is Option (1). \[ \boxed{1} \]
II. MCMXCV = M + (1000 - 100) + 10 + (5 - 1) = 1995 (correct)
III. MVD is incorrect as "V" and "D" are not valid representations for 1995.
IV. MVM is incorrect, as MVM does not represent a valid numeral for 1995.
Thus, the Correct Answer is Option (1). \[ \boxed{1} \]
Was this answer helpful?
0
0
Top Questions on Number System
Consider the following statements: Statement I: \( 5 + 8 = 12 \) or 11 is a prime. Statement II: Sun is a planet or 9 is a prime.
Which of the following is true?
- OJEE - 2025
- Mathematics
- Number System
- The binary representation of the decimal number 125 is
- OJEE - 2025
- Mathematics
- Number System
- The hexadecimal representation of the decimal number 2000 is
- OJEE - 2025
- Mathematics
- Number System
- Amongst all pairs of positive integers with product as 289, find which of the two numbers add up to the least.
- CBSE CLASS XII - 2025
- Mathematics
- Number System
- If \( v = \sin^{-1} \left( \frac{x^{1/3} + y^{1/3}}{x^{1/2} + y^{1/2}} \right) \), then \( x\frac{\partial v}{\partial x} + y\frac{\partial v}{\partial y} \) is equal to :
- CUET (PG) - 2025
- Mathematics
- Number System
View More Questions
Questions Asked in CAT exam
- The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.- CAT - 2025
- Para Summary
- The number of distinct integers $n$ for which $\log_{\left(\frac14\right)}(n^2 - 7n + 11)>0$ is:
- CAT - 2025
- Linear Inequalities
- In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?
- CAT - 2025
- Number Systems
- The number of distinct pairs of integers $(x, y)$ satisfying the inequalities $x>y \ge 3$ and $x + y<14$ is:
- CAT - 2025
- Number Systems
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is:
- CAT - 2025
- Linear Inequalities
View More Questions