TANCET 2022 Solved Papers

Concept:Apply the given rule from left to right: add symbol values normally, but if a smaller symbol is immediately followed by a larger symbol, subtract the smaller value from the larger value.Explanation:Check each given representation to see if its total value equals $1995$.(i) $\mathrm{MCMLXXV} = 1000 + (1000 - 100) + 50 + 10 + 10 + 5 = 1975$.So it does not represent $1995$.(ii) $\mathrm{MCMXCV} = 1000 + (1000 - 100) + (100 - 10) + 5 = 1995$.So it is valid.(iii) $\mathrm{MVD} = 1000 + (500 - 5) = 1495$.So it does not represent $1995$.(iv) $\mathrm{MVM} = 1000 + (1000 - 5) = 1995$.So it is valid.Thus, only (ii) and (iv) can represent the numeral for $1995$.Answer:Only (ii) and (iv), i.e., option C.