The base of a solid right prism of height 10 cm is a square and its volume is 160 cm³. What is its total surface area of the prism (in cm²)?

Simplify the following expression.

$${\left({375+125} \right)^2-\left({125-375} \right)^2}\over 375×375-125×125$$

The pie graph given here shows the break-up of the cost of construction of a house.

Assuming that the total cost of construction is ₹ 6,00,000, answer the questions.

Break-up of the cost of construction of a house 

The amount spent on cement, steel and supervision is what percent of the total cost of construction?

There is 80% increase in an amount in 8 years at simple interest. What will be the compound interest on Rs. 15,000 after 3 years at the same rate of interest?

A The cost of building a fence around a circular field is ₹7,425 at the rate of 13.50 per foot. What is the area of the circular field? [use $$π={22\over 7}$$]

Directions : Read the graph and answer the following questions.

The ratio of the average income of all the years to the average profit is

P = 12xy – 10y² – 18x²,

Q = 14x² + 12y² + 9xy, and

R = 5y² – x² + xy

then (P + Q) – R =

If the efficiency of Q increases by $$ {33{1\over 3}{\%}}$$ and P and Q start to work together, while at the same time R starts destroying the work. Find in how many days work will be completed.