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We have extended the hadron resonance gas (HRG) model by including the effect of both attractive and repulsive interaction in the scattering matrix (S-matrix) formalism. The attractive part of the interaction is calculated using K-matrix formalism while the repulsive part is included by fitting to experimental phase shifts. We have calculated various thermodynamics quantities like pressure, energy density, entropy density etc. A good agreement between our calculations and the hadronic phase of the lattice QCD (LQCD) simulations is observed. We have also calculated fluctuations and correlations for various conserved charges like baryon, strangeness and electric charge. In the present model, <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>χ</mi> <mi>B</mi> <mn>2</mn> </msubsup> </semantics> </math> </inline-formula>, <inline-formula> <math display="inline"> <semantics> <msubsup> <mi>χ</mi> <mrow> <mi>B</mi> <mi>S</mi> </mrow> <mn>11</mn> </msubsup> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <msub> <mi>C</mi> <mrow> <mi>B</mi> <mi>S</mi> </mrow> </msub> </semantics> </math> </inline-formula> agree well with the LQCD data.