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Q11 REPRESENTATIONS

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 MCMXCIX is

a. 1999

b. 1899

c. 1989

d. 1889

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

MCMXCIX = 1000+ (1000-100) + (100-10) + (10-1)

= 1000 + 900 + 90 + 9

= 1999

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