Embibe Experts Solutions for Exercise 1: SAT 2021

In village Madhubani, $8$ women and $12$ girls can paint a large mural in $10$ hours. $6$ women and $8$ girls can paint it in $14$ hours. The number of hours taken by $7$ women and $14$ girls to paint the mural is

Suppose the graphs of $15x+20y=-2 \mathrm{and} x-y=-2$ intersect at a point $P$. If the graph of $2x+3y=k^2$ passes through $P$, then $k$ is 

Given that the system of equations $mx+2y=10; 3x-2y=0$ have the integer solution. Then the possible values of $m$ are