Question

If a person moves either $1$ unit in the direction of positive $x$-axis or $1$ unit in the direction of positive $y$-axis per step, then the number of steps he requires to reach $(10,12)$ starting from the origin $(0,0)$ is _____________

• A. $10$
• B. $12$
• C. $22$
• D. $120$

Answer 1

Answer: (C)

$22$

It is said that a person moves either $1$ unit in the direction of the positive $x$-axis or $y$-axis.

From the origin, the number of steps in $x$-axis $=10$ steps.

From the origin, the number of steps in $y$-axis $=12$ steps.

$\therefore$ Total number of steps required will be $10+12=22$ steps.