The Roman numerals in your password should multiply to 35. Justify your answer
The Correct Answer and Explanation is :
Roman numerals are represented by a combination of letters from the Latin alphabet, where each letter has a specific value:
- I = 1
- V = 5
- X = 10
- L = 50
- C = 100
- D = 500
- M = 1000
To satisfy the condition that Roman numerals should multiply to 35:
The prime factors of 35 are 5 and 7. However, Roman numerals don’t have a symbol for 7, so we need to look for a combination that can give us 35 when multiplied together.
Roman Numerals for 35:
We break it down into factors that multiply to 35.
- We know 35 = 5 × 7.
- Since 7 cannot be directly represented as a Roman numeral, we need to explore an alternate combination of numerals.
To get close to 35 through Roman numeral combinations, let’s consider plausible factors like using V for 5 and VII for 7, as Roman numerals can be additive for small numbers (VII = 5 + 1 + 1 = 7).
Multiplying V (5) and VII (7) would give us the desired product:
- ( V \times VII = 5 \times 7 = 35 ).
Justification:
Roman numerals are usually additive (for instance, VII means 5 + 2 = 7), but the question asks for multiplication, which isn’t a typical use of Roman numerals. Despite this, by interpreting the Roman numerals as representing the numbers they signify and then multiplying their values, the correct product is achieved. Thus, the Roman numerals V and VII, representing 5 and 7, respectively, multiply to 35, fulfilling the given condition.