Which compound produces a paramagnetic acidic gas upon heating?

The solubilities of carbonates decrease down the magnesium group (Group $2$) due to a decrease in:

Match List-$I$ with List-$II$:

List-$I$	List-$II$
$a$. $Be$	$i$. Treatment of cancer
$b$. $Mg$	$ii$. Extraction of metals
$c$. $Ca$	$iii$. Incendiary bombs and signals
$d$. $Ra$	$iv$. Windows of $X$-ray tubes
	$v$. Bearings for motor engines

Choose the most appropriate answer from the options given below:

The incorrect order of solubility in water is

Thermal decomposition of which of the salt listed below yields a basic and an acidic oxide simultaneously?

Identify the correct statements from the following:
$I$. All alkaline earth metals give hydrides on heating with hydrogen.
$II$. Calcium hydroxide is used to purify sugar.
$III$. $BeCl_2$ is a dimer in gaseous phase.