Where is the very rich museum located in Gujarat?

Match the following columns and select the correct option:

Column-$I$	Column-$II$
$(a)$ Floating ribs	$(i)$ Located between $2^{nd}$ and $7^{th}$ ribs
$(b)$ Acromion process	$(ii)$ Head of humerus
$(c)$ Scapula	$(iii)$ Clavicle articulation
$(d)$ Glenoid cavity	$(iv)$ Do not connect with the sternum

$(a)\quad(b)\quad(c)\quad(d)$

Which of the following is a $\pi$-complex?

$A$ thin converging lens of focal length $f=25 \ cm$ forms the image of an object on a screen placed at a distance of $75 \ cm$ from the lens. The screen is moved closer to the lens by a distance of $25 \ cm$. The distance through which the object has to be shifted,so that its image on the screen is sharp again,is (in $cm$)

The number of solutions of the system of equations $2x + y - z = 7$, $x - 3y + 2z = 1$, and $x + 4y - 3z = 5$ is

Two cells $E_1$ and $E_2$ having equal e.m.f '$E$' and internal resistances $r_1$ and $r_2$ $(r_1 > r_2)$ respectively are connected in series. This combination is connected to an external resistance '$R$'. It is observed that the potential difference across the cell $E_1$ becomes zero. The value of $R$ will be