Read the following information carefully and answer the question below it.…

Concept: When several quantities in a word problem are linked by a chain of 'double of' ratios and one quantity is defined as the sum of specific other quantities, express every linked quantity as a multiple of one common base unit, write a single equation from the stated grand total, solve for that base unit, and substitute back for the quantity the question asks about.

1. Let the number of Christmas cards be c.

2. Deepawali cards are double the Christmas cards, so Deepawali cards = 2c.

3. New Year cards are double the Deepawali cards, so New Year cards = 2 × 2c = 4c.

4. The passage mentions only one Marriage Anniversary card, so that category contributes exactly 1 card to the total.

5. Birthday cards equal the sum of every other category except the Marriage Anniversary card: Birthday cards = New Year cards + Deepawali cards + Christmas cards = 4c + 2c + c = 7c.

6. The full collection is the sum of all five categories: Total = Birthday cards + New Year cards + Deepawali cards + Christmas cards + Marriage Anniversary card = 7c + 4c + 2c + c + 1 = 14c + 1.

7. Equate this to the stated collection size: 14c + 1 = 211, so 14c = 210 and c = 15.

8. Substitute back: Birthday cards = 7c = 7 × 15 = 105.

Cross-check: Because Birthday cards are defined as the sum of the other three non-Marriage-Anniversary categories, the 210 remaining cards (211 minus the single Marriage Anniversary card) must split into two equal halves — the Birthday-card half and the combined New Year, Deepawali and Christmas half — so 210 ÷ 2 = 105 confirms the count directly, independent of the individual doubling values. Individually, Christmas = 15, Deepawali = 30, New Year = 60 and Marriage Anniversary = 1, and 105 + 60 + 30 + 15 + 1 = 211, matching the stated collection size exactly.

So Rashmi's collection has 105 Birthday cards.