Four students studied reactions of zinc and sodium carbonate with dilute hydrochloric acid and dilute sodium hydroxide solutions and presented their results as follows. The (✓) shows evolution of gas and (-) shows no reaction. The right set is:

Based on the chemical properties of acids and bases described in the NCERT text:

1. Reaction of Zinc with Hydrochloric Acid ($\text{HCl}$): Metals react with acids to displace hydrogen and form a salt, evolving hydrogen gas.

$$\text{Zn}(s) + 2\text{HCl}(aq) \rightarrow \text{ZnCl}_2(aq) + \text{H}_2(g)\uparrow$$

Thus, gas is evolved (✓).

1. Reaction of Sodium Carbonate with Hydrochloric Acid ($\text{HCl}$): Metal carbonates react with acids to produce salt, water, and carbon dioxide gas.

$$\text{Na}_2\text{CO}_3(s) + 2\text{HCl}(aq) \rightarrow 2\text{NaCl}(aq) + \text{H}_2\text{O}(l) + \text{CO}_2(g)\uparrow$$

Thus, gas is evolved (✓).

1. Reaction of Zinc with Sodium Hydroxide ($\text{NaOH}$): Zinc is an amphoteric metal and reacts with strong bases like sodium hydroxide on warming to form sodium zincate and hydrogen gas.

$$2\text{NaOH}(aq) + \text{Zn}(s) \rightarrow \text{Na}_2\text{ZnO}_2(s) + \text{H}_2(g)\uparrow$$

Thus, gas is evolved (✓).

1. Reaction of Sodium Carbonate with Sodium Hydroxide ($\text{NaOH}$): Sodium carbonate is a basic salt and does not undergo any reaction with a strong base like sodium hydroxide. No gas is evolved (-).

Therefore, Option C correctly represents these observations.