JEE Main 2018 — Gravitation Question with Solution

Take the mean distance of the moon and the sun from the earth to be $0.4\times {10}^6 \mathrm{km}$ and $150\times {10}^6 \mathrm{km}$, respectively. Their masses are $8\times {10}^{22}$ $\mathrm{kg}$ and $2\times {10}^{30}$ $\mathrm{kg}$, respectively. The radius of the earth is $6400 \mathrm{km}$. Let $\mathrm{\Delta }{F}_1$ be the difference in the forces exerted by the moon at the nearest and farthest point on the earth, and $\mathrm{\Delta }{F}_2$ be the difference in the forces exerted by the sun at the nearest and farthest points on the earth. Then, the number closest to $\frac{\mathrm{\Delta }{F}_1}{\mathrm{\Delta }{F}_2}$ is,