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

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
collegedunia
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

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
collegedunia
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

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
collegedunia
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). \[ \boxed{1} \]
Was this answer helpful?
0
0

Top Questions on Number System

View More Questions

Questions Asked in CAT exam

View More Questions