Question

Ankita’s age is 48 years. Express it in Roman system.
(a) XXXVIIII
(b) XLVII
(c) XLVIII
(d) XLV

Answer 1

Hint: These options are roman numerals. First know what are roman numerals and how do we represent them. Then change Ankita’s age, given in counting numbers, into roman number and check which of the options is correct.

Complete step by step answer:
Roman numerals are a numeral system that originated in ancient Rome. Numbers in this system are represented by combinations of letters from the Latin alphabet. For example: I represents 1, V represents 5, X represents 10, L represents 50, C stands for 100, D and M are for 500 and 1000 respectively. The notation IV can be read as “one less than 5” and VI can be read as “one more than 5”. Roman numerals are essentially a decimal or “base 10” number system, with a digit for each power of ten – thousands, hundreds, tens and units. Each “digit” is represented by a fixed symbol or combination of symbols. We have to remember some common notations like V represents 5, X represents 10, L represents 50, C stands for 100.
Now, we come to the question.
We have been provided with Ankita’s age in counting numbers, that is 48, and we have to convert it in roman numerals.
Now, we can write: 48 = 40+ 8. First of all let us find the roman representation of 40.
Since, L represents 50 and X represents 10, therefore the notation XV can be read as “10 less than 50” that is equal to 40, so XV represents 40.
Now, let us find the roman representation of 8.
We know that V represents 5 and III represents 3, so we need “3 more than 5” and therefore 8 will be represented as VIII.
Therefore, 48 can be written as “40 more than 8” and so it will be represented as XLVIII.

So, the correct answer is “Option c”.

Note: We have to remember some basic notations like notations of numbers: 1 to 10, 50, 100, 500, 1000 and then only we can represent the counting numbers as roman numbers. You may note that option (a) does not represent any roman number because IIII is meaningless. Option (b) represents 47 and option (d) represents 45. So, in a way also we eliminate the other three options to get the answer. Now, remember that we cannot represent 40 with XXXX because the series is only valid up to 30 whose representation is XXX.