What is the mode of the given data?

5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x²+ 2x – 15 = 0

II. y²+ 16y + 55 = 0

A and B enter into a partnership with capital in the ratio 5: 6. After 4 months, A withdraws $$1\over 5$$of his capital, while B increases his capital by $$33{1\over 3}\%$$. What is the share (in ₹ lakhs) of B in the annual profit of ₹6.3 lakhs?

Directions: Given bar graph shows the number of plain books and lined books (in hundreds) available at three different stores and the table shows the percentage of total books (Plain + lined) that was sold by different stores.

The number of plain books sold by store A and store B was 30% and 40% respectively then find the number of lined books sold by store A and store B together is what percent of total books available at store A? 

The perimeter of a semi-circle is 25.7 cm. What is its diameter (in cm)? (π = 3.14)

Directions: In the following question, two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X³ = 125
II. Y³ = 8

$$4a-{4\over a}+3=0$$ then the value of :   $$ a^3-{1\over a^3}+3=?$$

if 50% of (x-y) =30% of (x+y), then what percentage of x is y?