Instructions

DIRECTIONS for the following questions: These questions are based on the situation given below: 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.

Question 25

# The minimum number of flowers with which Roopa leaves home is:

Solution

Number of flowers after the first dipping = 2x

Number of flowers after the second dipping = 2(2x-y) = 4x-2y

Number of flowers after the third dipping = 2(4x-2y-y) = 8x-6y

Number of flowers after the fourth dipping = 2(8x-6y-y) = 16x-14y

16x-14y = y

y = 16x/15

Minimum value of y = 16 when x = 15

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