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CAT-2003-Previous Years Paper

Question
1 out of 50
 

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



A 1687
B 1787

C 1887
D 1987

Ans. B

MDCCLXXXVII = 1000 + 500 + 100 + 100 + 50 + 10 + 10 + 10 + 5 + 1 + 1 = 1787

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