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Question

XLVI + LXX = ______.

A
CXIV
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B
CXVI
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C
XCIV
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D
XCVI
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Solution

The correct option is

A

CXVI



Let us first convert the Roman numerals into Hindu-Arabic numerals.

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

XLVI = (50 - 10 ) + 5 + 1
= 56 - 10
= 46
LXX = 50 + 10 + 10
= 70

XLVI + LXX = 46 + 70 = 116

But, 116 = 100 + 16 = C + XVI = CXVI.

XLVI + LXX = CXVI

Hence, the correct answer is option (A)


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