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QUESTION: 1

Which of the following is not a symbol to write Roman numerals?

Solution:

There are 7 letters which can be used as symbols to represent Roman numerals.

They are I, V, X, L, C, D and M.

N is not used as a symbol to write Roman numerals.

QUESTION: 2

Which of the following is shown as a repetition of symbols to write Roman numerals?

Solution:

Repetition of the basic symbols I, X, C and M means addition.

QUESTION: 3

Which of the following options is correct according to the rules of writing Roman numerals?

Solution:

**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.

QUESTION: 4

Which of the following options is written in the ascending order?

Solution:

- 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.

QUESTION: 5

Which of the following numerals is equal to CDXLVIV + CXV?

Solution:

CDXLIV

= CD + XL + IV

= 400 + 40 + 4

CXV

= 100 + 10 + 5

= 115

Now, 444 + 115 can be solved as

444 + 115 = 559

Now, 559

= 500 + 50 + 9

= D + L + IX = DLIX

Hence, CDXLIV + CXV = DLIX

QUESTION: 6

Which of the following is the Hindu-Arabic form for the Romal numeral MCDXCVII?

Solution:

MCDXCVII

= M + CD + XC + VII

= 1000 + 400 + 90 + 7

= 1497

QUESTION: 7

Which of the following is the Roman numeral for the number 2765?

Solution:

2765

= 2000 + 700 + 60 + 5

= MM + DCC + LX + V

= MMDCCLXV

Hence, MMDCCLXV is the Roman numeral for 2765.

QUESTION: 8

Which of the following options is equal to MMMCCLXXV − MCCCXXIV?

Solution:

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

QUESTION: 9

Which of the following options is true?

Solution:

**A.** XCVIII = XC + VIII = 90 + 8 = 98

MCVIII = M + C + VIII = 1000 + 100 + 8 = 1108

Which means XCVIII < MCVIII.

Hence, the statement XCVIII > MCVIII is false.

**B.** DCVIII = DC + VIII = 600 + 8 = 68

MCVIII = 1108

Hence, the statement DCVIII < MCVIII is true.

**C. **DCVIII = 68 MCVIII = 1108

Which means DCVIII < MCVIII.

Hence, the statement DCVIII = MCVIII is false.

**D.** XCVIII = 98

LXXXVIII = LXXX + VIII = 80 + 8 = 88

Which means XCVIII > LXXXVIII.

Hence, the statement XCVIII < LXXXVIII is false.

QUESTION: 10

Which of the following symbols can be subtracted from V and X?

Solution:

Only I can be subtracted from V and X.

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