Jitender Gupta and Divya Malik Solutions for Exercise 6: SAMPLE QUESTION PAPER

A man invests $₹4500$ in shares of a company which is paying $7.5\%$ dividend. If $₹100$ shares are available at a discount of $10\%$. Find number of shares he purchases.

A man invests $₹4500$ in shares of a company which is paying $7.5\%$ dividend. If $₹100$ shares are available at a discount of $10\%$. Find his annual income (in rupees upto one decimal place).

A solid metallic sphere of radius $6 \mathrm{cm}$ is melted and made into a solid cylinder of height $32 \mathrm{cm}$. Find the radius of the cylinder in $\mathrm{cm}$.

[Take $\mathrm{\pi }=3.1$]

A solid metallic sphere of radius $6 \mathrm{cm}$ is melted and made into a solid cylinder of height $32 \mathrm{cm}$. Find the curved surface area of the cylinder in ${\mathrm{cm}}^2$.

[Take $\mathrm{\pi }=3.1$]

The first and last term of a Geometric Progression (GP) are $3$ and $96$, respectively. If the common ratio is $2$, then find n in the number of terms of the GP.

The first and last term of a Geometric Progression (GP) are $3$ and $96$, respectively. If the common ratio is $2$, then find sum of $n$ terms of the GP.

The data on the number of patients attending a hospital in a month are given below. Find the average (mean) number of patients attending the hospital in a month by using the shortcut method.
Take assumed mean as $45$. Give your answer correct to $2$ decimal places.

A man observes the angle of elevation of the top of a tower to be $45°$. He walks towards it in a horizontal line towards it's base. On covering $20 \mathrm{m}$ the angle changes to $60°$. Find the height of the tower in $\mathrm{m}$ correct to two significant figures.