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Answer the questions on the basis of the information given below.
The seven basic symbols in a certain numeral system and their respective values are as follows:
$\text{I} = 1, \text{V} = 5, \text{X} = 10, \text{L} = 50, \text{C} = 100, \text{D} = 500, \text{and M} = 1000$
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, $\text{XXVII} = 10 + 10 + 5 + 1 + 1 = 27.$ 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 large. For example, $\text{XLVI} = (50 – 10) + 5 + 1 = 46.$

Which of the following can represent the numeral for $1995?$

1. MCMLXXV
2. MCMXCV
3. MVD
4. MVM
1. Only (a) and (b)
2. Only (c) and (d)
3. Only (b) and (d)
4. Only (d)

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 large

$\text{I = 1, V = 5, X = 10, L = 50, C = 100, D = 500,}$ and $\text{M = 1000​}$

1. $\text{MCMLXXV: 1000 + (1000 - 100) + 50 + 10 + 10 + 5 = 1975}$
2. $\text{MCMXCV: 1000 + (1000 - 100) + (100 - 10) + 5 = 1995}$
3. $\text{MVD: 1000 + (500 – 5) = 1495}$
4. $\text{MVM: 1000 + (1000 – 5) = 1995}$

Answer: Option$:\text{C.}$ Only (b) and (d)

406 points
Ans is C) and D)

for C) 1000+(1000-100)+(100-10)+5=1995

D) 1000+(1000-5)=1995
by
5.1k points

you meant b?