Question

Numeral for CCCXLVII _ _ _ _ _
A. 357
B. 347
C. 367
D. 387

Answer 1

Hint: In the Roman or the Hindu-Arabic number system, 100 is the numeral for C, 50 is for L, 10 is for X, and 5 is for V, while all the I’s denote unity. Therefore, for any given number of the Hindu-Arabic number system, we will have to replace the alphabets with their respective numerals and add.

Complete step-by-step solution:
In the Roman or the Hindu-Arabic number system, the numbers are represented with the help of alphabets from the Latin Script. The alphabets are I, V, X, L, C, D and M which stand for 1, 5, 10, 50, 100, 500 and 1000 respectively.
The first 39 numerals of this number system are defined with I, V and X. In this system, 39 is written as XXXIX.
While writing 40, L is introduced for the first time. Therefore, 40 is XL, 41 is XLI, 42 is XLII, ……, 48 is XLVIII, 49 is XLIX. So, it is clear that 50 will be L, 51 will be LI, 52 will be LII and so on. This same pattern will be continued till 89 i.e. LXXXIX.
Again, while writing 90 we will introduce C. Hence, 90 becomes XC, 91 becomes XCI, and so on. Finally, 100 is C. This same structure will be followed till 399 i.e. CCCXCIX.
Note that 500 is represented by D. So, for 400 we will write CD. Thus, 401 will be CDI, 402 will be CDII and so on.
CCCXLVII= 100 + 100 + 100 + (50-10) + 5 + 1 + 1 = 347

Therefore, the correct answer is option (B).

Note: Roman numerals are a number system that originated during the medieval period in ancient Rome. In this number system, the numbers are represented with the help of alphabets from the Latin Script. The alphabets are I, V, X, L, C, D and M which stand for 1, 5, 10, 50, 100, 500 and 1000 respectively.