If $$ {x=7-4\sqrt{3}}$$ find the value of $$ {\sqrt{x}+{1\over {\sqrt{x}}}}$$.

With the increase in the price of sugar by 45%, a consumer can buy 9 kg less sugar for Rs. 1740. What is the increased price per kg of sugar?

A circular park whose diameter is 210 m has a 5 m wide path running around it(on the outside). What is the area ( in m²) of the path?

The given pie chart shows the percentage of students enrolled for the courses A, B, C, D and E in a university and the table shows the percentage of students that passed, out of the enrolled students.
Total Students=60,000

How many students passed in Course B?

Find the length of a tangent, drawn to a circle of radius 4 cm, from a point which is at a distance of 5 cm from the centre?

The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?

Study the graph carefully and answer the following questions.

What is the average production of State C for three years?

What is the difference between compound interest and simple interest on Rs. 2500 for 2 years at 4% per annum?