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CAT-2003-Previous Years Paper

Question
3 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.


Which of the following represent the numeral for 1995?

I. MCMLXXV II. MCMXCV

III. MVD IV. MVM



A Only I and II
B Only Ill and IV

C Only II and IV
D Only IV

Ans. C

(I) MCMLXXV = 1000 + (1000 – 100) + 50 + 10 + 10 + 5 = 1975

(II) MCMXCV = 1000 + (1000 – 100) + (100 – 10) + 5 = 1995

(III) MVD = 1000 + (500 – 5) = 1495

(IV) MVM = 1000 + (1000 – 5) = 1995

Therefore, the answer is (II) and (IV), i.e. option (c).

CAT-2003-Previous Years Paper Flashcard List

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