Mix Test - 2...

The values of x and y from the equations x - y = 6 and \(\frac{x}{3}\) + \(\frac{y}{2}\) = 12 are:

A solid metallic ball of radius 9 cm is melted to form cylinders of radius 6 mm and height 1 cm. Find the number of such solid cylinders that can be formed.

If the price of a commodity is decreased by $40\%$ and its consumption is increased by $30\%$, then what will be the percentage increase or decrease in the expenditure of the commodity?

Value of \(\sqrt{10+\sqrt{25+\sqrt{121}}}\) in the following is?

Find the time in which Rs. 25000 will become Rs. 51840 at 20% per annum compound interest.

Radius ratio of three iron balls is 1 : 2 : 3 . They are melted and recast into a bigger iron ball of radius 6 cm. The diameter of the smallest ball is:

A number is increased first by $10\%$ and then it is decreased by $20\%$. What is the percentage change in the number?

The ratio of length and breadth of a rectangle is 5 : 4. The perimeter of the rectangle is 54 cm. Find the area of the rectangle.

The length of the base of a triangle is \(\frac{5}{7}\) of the base of a parallelogram. The area of the triangle and the parallelogram is the same. Find the ratio of the respective heights of the triangle and the parallelogram.

The value of \(\sqrt{0.01} \times \sqrt[3]{0.008}-0.02\) is: