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. 2x + 3y = 52
II. 5x – 2y = 16

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

Answer the following questions

Lokesh sold two items at same price. One of them was sold at a profit of 10% and the other at the loss of 10%. What is the net result of entire transaction?

The perimeter of a square with diagonal 29√2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

and x is real, then the value of is

If , and , then what is the least common multiple of A, B and C?

Directions: The bar diagram given below shows the productions (in the unit of thousand pieces) of three types of biscuits by a company in the five consecutive years. Study the diagram and answer the following questions.

The production of all the three types of biscuits was maximum in the year 

The base of a right pyramid is a square of side 10 cm. If its height is 10 cm, then the are (in cm²) of its lateral surface is: