B Nirmala Shastry Solutions for Exercise 2: EXERCISE 8.2

Calculate the third proportional to $6$ and $18$
 

The second, third and fourth terms of a proportional are $35, 48$ and $60$. Find the first term.
 

The ratio of the length of a rectangle to its width is $5:2$. If the length of rectangle is $40 \mathrm{cm}$, what is its width?
 

The ratio of the length of Ram's string to that of Shyam's string is $2:7$. If Shyam's string is $42 \mathrm{cm}$ long, how long is Ram's string?
 

For every $3$ push-ups Andy can do, Sandy does $2$ push-ups. If Andy did $24$ push-ups during a gym class, how many push-ups did they do altogether?

On a map, $1 \mathrm{cm}$ represents $10 \mathrm{km}$. If the two towns are actually $130 \mathrm{km}$ apart,then they are $\mathrm{k} \mathrm{cm}$ apart on the map. Find the value of $k$

The ratio of Alex's cycling speed to Bhushan's cycling speed is $6:5$. If Alex's speed is $15 \mathrm{km}/\mathrm{h}$, then Bhushan's cycling speed is $k \mathrm{km}/\mathrm{h}$, find the value of $k$ in decimals

In a school, boys to girls ratio is $6:5$. If there are $540$ girls, how many boys are there in the school?