The length of the diagonal of a square is ‘a’ cm. Which of the following represents the area of the square (in sq. cm.)?

A wateh dealer pays 10% customs duty on a watch which costs Rs. 500 abroad. He de- sires to make a profit of 20% after giving a discount of 25% to the buyer. The marked price should be

If $$A={{2^7×3^7}}$$, $$B={{2^7×3^5}}$$ and $$C={{2^8×3^4}}$$, then what is the least common multiple of A, B and C?

The curved surface area of a cylinder is five times the area of its base. Find the ratio of radius and height of the cylinder.

The item costing Rs. 840 was sold by A shopkeeper at a gain of 10% and it was again sold by the new buyer at the loss of 5%. find the selling price of the item is

In the figure, XYZ is a secant. and ZT is a tangent to the circle at T. If TZ = 12 cm and YZ = 8 cm, then find the length of XY.

The value of 4÷12 of [3÷4 of {(4-2) x 6÷2}] -2x6÷8+3 is:

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