CAT 2003 Slot 2 — QA Question 48
Answer the following question based on 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, and 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 + 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 larger.
For example, XLVI = (50 – 10) + 5 + 1 = 46.
The value of the numeral MDCCLXXXVII is:
Answer & solution
- A
1687
1787
- C
1887
- D
1987
The expression MDCCLXXXVII is expanded as,
1000 + 500 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1
= 1787
Hence, option (b).