# Equations 2-3

13. 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 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.
If Roopa leaves home with 30 flowers, the number of flowers she offers to each deity is:
a. 30
b. 31
c. 32
d. 33

14. The minimum number of flowers that could be offered to each deity is: (Use data from Question 11)
a. 0
b. 15
c. 16
d. Cannot be determined

15. The minimum number of flowers with which Roopa leaves home is: (Use data from Question 11)
a. 16
b. 15
c. 0
d. Cannot be determined

16. A student has to divide a number by 7 and add 21 to the quotient. However, being absent minded, he had first added 21 to it and divided it by 7, and got 66 as answer. What is the corrent answer?
a. 84
b. 96
c. 105
d. 112

17. A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is the same as the number of red tiles. A possible value of the number of tiles along one edge of the floor is
a. 10
b. 12
c. 14
d. 16

18. If the numerator of a fraction is decreased by 1, it will become $\dfrac{1}{3}$. If the denominator is increased by 3, then it will become $\dfrac{1}{3}$. Find the fraction.
a. $\dfrac{5}{12}$
b. $\dfrac{2}{3}$
c. $\dfrac{4}{9}$
d. Cannot be determined