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Question

Choose the smallest of the following.

A
CC
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B
CLX
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C
XCV
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D
XCIX
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Solution

The correct option is C XCV
We know that I = 1, V = 5, X = 10, L = 50 and C = 100.

Also, when a Roman numeral with the larger value is on the left, we add the values together and when it is on the right, we subtract the values.

CC = 100 + 100 = 200

CLX = 100 + 50 + 10 = 160

XCV = (100 - 10) + 5 = 90 + 5 = 95

XCIX = (100 - 10) + (10 - 1)
= 100 + 10 - 10 - 1
= 99

Since 95<99<160<200, we have XCV to be the smallest.

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