NEB Class 12 Management Business Mathematics Question Paper 2077

Find the domain and range in relation $R=\{(4,8),(4,12),(5,10),(6,12),(7,7)\}$.

Find the first term of a G.P. whose fifth term is 243 and common ratio is 3.

Find the slope and intercepts of the line $2x-3y+10=0$.

Evaluate: $\displaystyle\lim_{x\to 3}\dfrac{x-3}{\sqrt{x-2}-\sqrt{4-x}}$.

Find $\dfrac{dy}{dx}$ when $x=2at$, $y=at^2$.

If the marginal revenue function for output $x$ is $MR=x^3+4x-2$, find the total revenue function.

Find the mean deviation from mean of the following observations.

If 200 men can make an embankment 3 km long in 25 days, how much overtime per day must 60 men work to complete an embankment 2 km long in 32 days; 12 hours being a day's work?

Solve by Cramer's rule: $x+y+z=6$, $2x+3y-z=5$, $3x+4y+5z=26$.

Find the derivative from first principles: $y=\dfrac{1}{x}$.

Find the extreme values of the function $F$ defined by $F=10x+15y$ subject to constraints $x+2y\le 20$, $x+y\le 16$, $x\ge 0$, $y\ge 0$.

Ram, Shyam and Hari invest in a business with capitals Rs. 5000, Rs. 4500 and Rs. 6500 respectively. After six months, Ram doubles his capital and after next three months Shyam trebles his capital. If the profit at the end of the year amounted to Rs. 8300, find the profit obtained by each.