Test: Roman Numerals - CTET & State TET MCQ

When a smaller numeral is placed between two larger numerals, it is always subtracted from the larger numeral immediately following it.
Example: XIX = 10 + (10 − 1) = 10 + 9 = 19

LVV is not written correctly because V cannot be repeated.

LXXI is a Roman numeral representation of the number 71. In Roman numerals, L represents 50, X represents 10, and I represents 1. When these symbols are combined, LXXI is formed, which represents 50 + 10 + 10 + 1 = 71. Therefore, the correct answer is 71.

XXXIV = XXX + IV
= 30 + 4
= 34

XV = X + V = 10 + 5 = 15
XXV = XX + V = 20 + 5 = 25
XLII = XL + II = 40 + 2 = 42
LXXIV = LXX + IV = 70 + 4 = 74
Hence, the correct ascending order is 15 < 25 < 42 < 74 or XV < XXV < XLII < LXXIV.

The Roman numeral D represents 500.

65
= 60 + 5
= LX + V
= LXV

Repetition of the basic symbols I, X, C, M when writing Roman numerals means addition.
E.g. X=10 And if we repeat this X two times then it will be10+10 which is 20

XCI is a Roman numeral representation for the number 91. In Roman numerals, X represents 10, C represents 100, and I represents 1. When X (10) is subtracted from C (100), it leaves 90. Adding I (1) to 90 gives the value 91. Therefore, XCI is equal to 91.

XXXVIII is a Roman numeral representation for the number 38. In Roman numerals, X represents 10, and V represents 5. When a smaller numeral appears in front of a larger numeral, it is subtracted. So, XXX represents 30 (10+10+10) and V represents 5. When these are added together, it gives us a total of 35. Finally, the additional I (1) represents 1 more, resulting in a total of 36. Therefore, the correct answer is 38.

• XCVII = XC + VII = 90 + 7 = 97
• CXCIV = C + XC + IV = 100 + 90 + 4 = 194
• DCCLXVIII = DCC + LX + VIII = 700 + 60 + 8 = 768
• MDCLXII = M + DC + LX + II = 1000 + 600 + 60 + 2 = 1662

So, 97 < 194 < 768 < 1662
Hence, the correct ascending order is XCVII < XCCIV < DCCLXVIII < MDCLXII.

XCIII is a Roman numeral representation of the number 93. In Roman numerals, X represents 10 and C represents 100, while I represents 1. When a smaller numeral appears before a larger one, it is subtracted from the larger numeral. In this case, the smaller numeral I appears before X, so it is subtracted from X, resulting in 10 - 1 = 9. The larger numeral C appears after X, so it is added to X, resulting in 10 + 100 = 110. Therefore, XCIII represents 93.

• XDVII is not written correctly as X cannot be subtracted from D. X can only be subtracted from L and C.
• CLLVV is not written correctly as V and L cannot be repeated.
• DDXC is not written correctly as D cannot be repeated.

Hence, MDCLXXI is correct according to the rules of writing Roman numerals.

X can be subtracted from L and C only.

LXXXIV = LXXX + IV
= 80 + 4
= 84

XCVIII
= XC + VIII
= 90 + 8
= 98
XVIII
= X + VIII
= 10 + 8
= 18
98 > 18
Hence, the statement XCVIII > XVIII is true.
XCVIII = 98
XVIII = 18
98 > 18
Hence, the statement XCVIII < XVIII is false.
XCVIII = 98
XVIII = 18
98 > 18
Hence, the statement XCVIII = XVIII is false.
XCVIII = 98
XCVII = 97
98 > 97
Hence, the statement XCVIII < XCVII is false.

XCII is the Roman numeral representation for the number 92. In Roman numerals, X stands for 10, C stands for 100, and I stands for 1. When a smaller numeral appears in front of a larger numeral, it is subtracted. So, XC represents 90 (100 - 10), and II represents 2, making XCII equal to 92.

2765
= 2000 + 700 + 60 + 5
= MM + DCC + LX + V
= MMDCCLXV
Hence, MMDCCLXV is the Roman numeral for 2765.

MMMCCLXXV
= MMM + CC + LXX + V
= 3000 + 200 + 70 + 5
= 3275
MCCCXXIV
= M + CCC + XX + IV
= 1000 + 300 + 20 + 4
= 1324
3275 − 1324 can be solved as

Therefore,
3275 − 1324 = 1951
But, 1951
= 1000 + 900 + 50 + 1
= M + CM + L + I
= MCMLI
Hence,  MMMCCLXXV − MCCCXXIV = MCMLI