Question

A frog is presently located at the origin $(0,0)$ in the $xy$-plane. It always jumps from a point with integer coordinates to a point with integer coordinates moving a distance of $5$ units in each jump. What is the minimum number of jumps required for the frog to go from $(0,0)$ to $(0,1)$?

• A. $2$
• B. $3$
• C. $4$
• D. $9$

Answer 1

The correct option is B $3$

The frog can jump to only integral coordinates and have to move $5$ units in each jump

So, he must jumps from $(0,0)$ to $(4,3)$

Then from $(4,3)$ to $(0,6)$

Finally from$(0,6)$ to $(0,1)$ covering a distance of $5$ unit in each jump

So, minimum of three jumps are required

Hence, option $B$ is correct