The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is $$ {18\sqrt{3}}$$ sq.cm. What is the area (in cm²) of the equilateral triangle ?

In the following frequency table, the value of H will be

What is compound interest on a sum of Rs. 37,500 for $$ {1{1\over 3}}$$ years at a rate of 12 % per year. If the interest is compounded 8 monthly?

Directions: The following bar graph shows the percentage breakup of a Sunil’s salary from year 2012 to 2016. With the given information, find the following questions.

If the total expenses in year 2011 is ₹ 3, 00,000 and there is an increase of 18% in 2012. Then how much Sunil has spent on travelling and EMI combine in 2012?

Two equal glasses are filled with alcohol and water respectively. First glass is filled with (2/5) of alcohol and second glass is filled with (1/4) of alcohol. Then, the glasses are filled up with water and the resultant mixture is put into a big Jug. Find the ratio of alcohol and water in the jug.

Directions: The bar graph shows the results of an annual examination in a secondary school in a certain year. Answer the following four questions based on this chart.

The ratio of the total number of boys passed to the total number of girls passed in the three classes VII, VIII and IX is 

Ramesh scored 73 marks in subject A . He scored 56% marks in subject B and X marks in subject C. maximum marks in each subject were 150. The overall percentage marks obtained by Ramesh in all the three subject together was 54%. How many marks did he score in Subject C?

The height of a square base right prism is 15 cm. If the total surface area of the prism is 608 cm² , then what will be the volume of prism?