Question

Shamita is very found of collecting greeting cards. Her collection 0f 211 cards has a good mix of Birthday cards, New year cards, Deepawali cards, Christmas cards and even a marriage anniversary cards. The number of Birthday card is equal to the sum of all other except the marriage anniversary card. The number of New year card is double of Deepawali card, which is turn is double of Christmas cards.
The number of Birthday cards in the collection is

• A. 95
• B. 105
• C. 110
• D. 85

Answer 1

The correct option is B 105

If number of Christmas cards = x
Deepawali Card= 2x
New Year Card= 4x
Number of Birthday Cards= x + 2x + 4x= 7x

i.e. 7x + x + 2x + 4x + 1=211
14x=210
x=15

(b)
15 $\times$7=105