$\mathrm{Zn}$ give ${\mathrm{H}}_2$ gas with ${\mathrm{H}}_2{\mathrm{SO}}_4$ and $\mathrm{HCl}$ but not with ${\mathrm{HNO}}_3$ because

Zn gives H₂ gas with H₂SO4 and HCl but not with HNO₃ because 

• Zn acts as an oxidizing agent when it reacts with HNO₃
• HNO₃ is weaker acid than H₂SO₄ and HCI 
• In electrochemical series, Zn is above hydrogen 
• NO, is reduced in preference to hydronium ion.