S K Gupta and Anubhuti Gangal Solutions for Exercise 4: Exercise

A dull witted farmer decided to count his sheep by first counting their legs. He counted $456$ legs and reasoned that he had $113$ sheep. Assuming each sheep had $4$ legs, was he correct?

The Sarpanch of a village was elected by a vote of $3$ to$1$. If $5764$ votes were cast, how many votes did he receive?

The ratio of the length of a school ground to its width is $5:2$. Find its length if the width is $40 \mathrm{meters}$.

If $a:b::c:d$, then the correct statement is

If $0.75:x::5:6$, then $x$ is equal to

Mohit enlarges a photograph that is $8 \mathrm{cm}$ wide and  $6 \mathrm{cm}$ high. If the height of the enlarged photograph is $24 \mathrm{cm}$, its width is

The distance between two towns is $430 \mathrm{km}$. If the map scale is $10 \mathrm{km}$ to $2 \mathrm{cm}$, then the length on the map representing this distance is

The value of $x$ in the proportion,  $9:5::36:x-3$ is