CAT 1999 | Question: 80

Question

Answer the question based on the following information.

A young girl Roopa leaves home with x flowers, goes to the bank of a nearby river. On the bank of the river, there are four places of worship, standing in a row. She dips all the x flowers into the river. The number of flowers doubles. Then she enters the first place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the second place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the third place of worship, offers y flowers to the deity. She dips the remaining flowers into the river, and again the number of flowers doubles. She goes to the fourth place of worship, offers y flowers to the deity. Now she is left with no flowers in hand.

The minimum number of flowers with which Roopa leaves home is

• A. $16$
• B. $15$
• C. $0$
• D. Cannot be determined

Answer 1

B)15

2(2(2(2x-y)-y)-y)-y=0

i.e.16x - 15y =0