India is one of the largest importers of crude oil. Oil companies produce crude oil in barrels. Suppose the maximum oil produced by a company is $300$ barrels and profit made from sale of these barrels is given by the function $P\left(x\right)=-10x^2+ 3500x-66000$, where $P\left(x\right)$ is profit in rupees and $x$ is the number of barrels produced and sold.

What will be the shape of the graph represented by the polynomial $P\left(x\right)$?

A flight got delayed by $40$ minutes due to bad weather conditions. In order to reach its destination on time, which is $1600 \mathrm{km}$ away, the aeroplane had to increase the speed by 400 km/h of its original speed, which is $x \mathrm{km}/\mathrm{h}$.

What is the expression for the time taken (in hours) by the plane to cover $1600 \mathrm{km}$ with its increased speed?

A flight got delayed by $40$ minutes due to bad weather conditions. In order to reach its destination on time, which is $1600 \mathrm{km}$ away, the aeroplane had to increase the speed by 400 km/h of its original speed, which is $x \mathrm{km}/\mathrm{h}$.

Using which of the following equations, the original speed of the plane can be calculated?

A flight got delayed by $40$ minutes due to bad weather conditions. In order to reach its destination on time, which is $1600 \mathrm{km}$ away, the aeroplane had to increase the speed by 400 km/h of its original speed, which is $x \mathrm{km}/\mathrm{h}$.

The original speed of the plane is$?$

A flight got delayed by $40$ minutes due to bad weather conditions. In order to reach its destination on time, which is $1600 \mathrm{km}$ away, the aeroplane had to increase the speed by $400 \mathrm{km}/\mathrm{h}$ of its original speed, which is $x \mathrm{km}/\mathrm{h}$.

If the original speed of the plane is $750 \mathrm{km}/\mathrm{h}$, then find the time taken by the plane to cover a distance of $2250 \mathrm{km}$.

A flight got delayed by $40$ minutes due to bad weather conditions. In order to reach its destination on time, which is $1600 \mathrm{km}$ away, the aeroplane had to increase the speed by $400 \mathrm{km}/\mathrm{h}$ of its original speed, which is $x \mathrm{km}/\mathrm{h}$.

If the speed of the plane is decreased due to some technical reasons, then what will be the effect on the time taken if the distance remains the same?

A part of a roof with trapezoidal shape needs to be tiled with roof tiles. The bottom row needs $95$ roof tiles and every higher row needs one roof tiles less than the row below it until there are $76$ roof tiles needed for the top row.

The A.P. formed by the number of tiles (starting from the bottom row) in the rows is

A part of a roof with trapezoidal shape needs to be tiled with roof tiles. The bottom row needs $95$ roof tiles and every higher row needs one roof tiles less than the row below it until there are $76$ roof tiles needed for the top row.

The common difference of the A.P. is

A part of a roof with trapezoidal shape needs to be tiled with roof tiles. The bottom row needs $95$ roof tiles and every higher row needs one roof tiles less than the row below it until there are $76$ roof tiles needed for the top row.

The number of rows of the tiles are