Let the number of questions attempted be x+y out of which x are correct and y are incorrect and the number of questions unattempted be z It is given, x+y+z=75...(i) 3x−y+z=97...(ii) Eqs(ii)−(i)⇒x−y=11 Eqs(i)+(ii)⇒2x+z=86 z>x+y z>75−z z>37.5 Minimum possible value of z is 38 2x+38=86 2x=48 x=24 The maximum number of correct answers is 24 .