Question

Eva's mother's birthday is in December, but she has forgotten the date. To help her out, her father gave her some clues. Help Eva find her mother's birth date.
1. It is a multiple of 6.
2. It is before ${15}^{th}$ December.
3. In Roman numerals, this number is written using two symbols without repetition.

• A. $1^{th}$ December
• B. ${12}^{th}$ December
• C. $6^{th}$ December
• D. ${18}^{th}$ December

Answer 1

The correct option is C $6^{th}$ December

Let us look at the given clues one by one.

1. It is a multiple of 6.
Multiples of 6 are 6, 12, 18, 24, and 30.

2. It is before ${15}^{th}$ December.
Thus, the dates before ${15}^{th}$ December could either be 6 or 12.

3. In Roman Numerals, the number is written in two different symbols without repetition.
We know that 6 is written as VI, while 12 is written as XII.
Both 6 and 12 have two different symbols, but 12 has one symbol that is repeating.

Thus, Eva's mother's birthday is on $6^{th}$ December.