Analyze Each Reaction:
Reaction (A): The reaction conditions suggest Friedel-Crafts acylation using anhydrous \( \text{AlCl}_3 \) and a carboxylic acid chloride. This reaction should proceed correctly, forming the expected acylated aromatic product.
Reaction (B): In this reaction, \( \text{Pd/BaSO}_4 \) (Rosenmund reduction conditions) is used to reduce an acyl chloride to an aldehyde. This reaction is incorrect.
Reaction (C): This reaction involves a carboxylic acid reacting with CO and HCl under anhydrous conditions with \( \text{AlCl}_3 \) or CuCl. However, this is not a standard reaction for carboxylic acid conversion to an acyl chloride under these conditions, so this reaction is incorrect.
Reaction (D): The conditions involve the reaction of a benzene derivative with \( \text{CONH}_2 \) and HCl. However, these reagents are not compatible with producing an expected product under the given conditions, making this reaction incorrect.
Conclusion:
Only Reaction (A) is correct among the given reactions. Therefore, the number of correct reactions is 1, corresponding to Option (1).
The term independent of $ x $ in the expansion of $$ \left( \frac{x + 1}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{x + 1}{x - \sqrt{x}} \right)^{10} $$ for $ x>1 $ is:

Two cells of emf 1V and 2V and internal resistance 2 \( \Omega \) and 1 \( \Omega \), respectively, are connected in series with an external resistance of 6 \( \Omega \). The total current in the circuit is \( I_1 \). Now the same two cells in parallel configuration are connected to the same external resistance. In this case, the total current drawn is \( I_2 \). The value of \( \left( \frac{I_1}{I_2} \right) \) is \( \frac{x}{3} \). The value of x is 1cm.
If $ \theta \in [-2\pi,\ 2\pi] $, then the number of solutions of $$ 2\sqrt{2} \cos^2\theta + (2 - \sqrt{6}) \cos\theta - \sqrt{3} = 0 $$ is: