For any reaction to occur the relationship between change in Gibb's energy (∆G) , change in enthalpy (∆H) and change in entropy (∆S) is as follows-
∆G = ∆H- T ∆S
∆G= Change in Gibb's energy
∆H = Change in enthalpy
∆S = Change in entropy
If ,
∆H is positive and ∆S is negative -
∆G = ∆H - T( -∆S )
∆G = ∆H + T ∆S
Hence, option A is correct