CAT 2003 | Question: 2-99

Question

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:
$\text{I} = 1, \text{V} = 5, \text{X} = 10, \text{L} = 50, \text{C} = 100, \text{D} = 500,$ and $\text{M} = 1000$
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, $\text{XXVII} = 10 + 10 + 5 + 1 + 1 = 27.$ 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 large. For example, $\text{XLVI} = (50 – 10) + 5 + 1 = 46.$

The value of the numeral $\text{MCMXCIX}$ is

• A. $1999$
• B. $1899$
• C. $1989$
• D. $1889$

Answer 1

Order is Increasing decreasing zigzag manner

So, MCMXCIX =1000+(1000-100)+(100-10)+(10-1)=1999

Ans A)